The longer magnetic retreat
The 2025 total dipole is about one-fifth below GGF100k’s strongest sustained Holocene millennium.
Baseline comparison, not excursion probability. 92
Independent research synthesis / 2026 assessment
A changing field.
A restless environment.
A civilization with finite margins.
From the deep Earth to interstellar space: what is observed now, what is reconstructed, what is conditional—and where established pathways can genuinely compound.
Enter the assessment ↓The assessment in three findings
Keep state, mechanism, timing and consequence separate. Then ask where the evidence actually allows them to meet.
The 2025 total dipole is about one-fifth below GGF100k’s strongest sustained Holocene millennium.
Baseline comparison, not excursion probability. 92
Observed warming over 2016–2025, relative to 1850–1900. Human-induced warming accounts for 1.24°C.
Observed estimate: 1.13–1.36°C. 9
Power-caused cell-site outage time per fixed-panel site in western North Carolina after Helene.
28 Sep–7 Oct 2024; panel average, not customer duration. 4
The evidence supports several changing conditions and several mechanisms capable of interaction; it does not establish that they are synchronizing toward one imminent planetary transition. A major solar shock needs no magnetic reversal to matter. The longer magnetic baseline remains consequential. Lasting environmental pressure can make interruption harder to endure—and successful protection can still contain the loss. 6,9,96,7,88
How to read this assessment
Proximity on the page is not proof of common timing or common cause. Each layer is tagged by what the evidence actually establishes.
This is a GeoPhasix-authored research synthesis and visual analysis. It is not a NASA, NOAA, ESA, USGS, university, journal or government publication; it is not itself a peer-reviewed paper or a scientific-consensus statement. It synthesizes peer-reviewed literature, agency and observational data, reconstructions, and explicitly labeled original calculations and conditional models. Authority for source claims remains with the cited sources; GeoPhasix is responsible for the synthesis, calculations and interpretation presented here.
Human-caused warming, changing geomagnetic geometry, the South Atlantic weak-field region, solar activity and real infrastructure interruptions belong here.
Measured / operational evidence. 9,27,4Holocene and deep-time field reconstructions change the baseline against which the modern state is judged. They do not add a countdown.
Model- and chronology-dependent history. 92,96Weak-field transport, compressed-heliosphere experiments and other extreme branches answer what if these conditions occur? They are not claims that those conditions exist today.
Mechanism tests / scenario models. 44,102,103Shared timing, excursion onset, a common external trigger and a calibrated probability of synchronized planetary transition remain unestablished.
Research questions, not hidden conclusions. 97,101NOThat Earth is currently undergoing a geomagnetic excursion or reversal, or that onset has been established.
NOA cosmic, solar or geomagnetic replacement for anthropogenic modern warming.
NOA validated ~12,000-year catastrophe clock, common onset clock, or unified impending-disaster timeline.
NOThat Earth is currently entering or traversing the extreme cold, dense-cloud regime modeled for deep time.
What is maintained: the longer magnetic retreat is materially larger against Holocene-high baselines; field geometry is actively reorganizing; the South Atlantic weak-field structure has present operational relevance; severe solar forcing matters under the present field; several external mechanisms are physically legitimate conditional hazards; and real consequences depend on whether protective capacity survives the interval to recovery. These propositions do not require a reversal, a dense-cloud encounter, or a synchronized planetary clock.
A cooler month does not empty the ocean’s heat, replenish depleted water or restore an injured reef. The starting condition carries the history of earlier stress.
■Computed here from HadCRUT5
The gap between absorbed sunlight and emitted heat has more than doubled in recent decades. Reduced reflectivity—especially changes in low cloud—is part of the recent energy-budget story. The partition between variability, aerosol changes and feedback remains unresolved. 10,14
About 84% of global reef area encountered bleaching-level heat stress between early 2023 and mid-2025. In monitored Florida Keys and Dry Tortugas colonies, two reef-building coral species suffered 97.8–100% mortality. The regional biological result is not a global mortality estimate. 19,20
Near-term protection and limiting future warming are different tasks. Long-lived damage does not mean every future increment of warming is inevitable. 17,24
Water, ice, circulation & rotationA 7.6% decline since 1900 is not the loss from a Holocene high. The denominator changes the history being told—not the present-day field.
The 2025 total dipole is 7.690 × 10²² A m². Choose a baseline to see how the same value compares. These are different definitions, not bounds of an uncertainty interval. 92,94
Below the strongest 1,000-year mean in GGF100k.
The strongest millennium averages 9.603 × 10²² A m², approximately 2.25–1.25 thousand years before 1950. The sampled peak gives a 21.7% decline. Model smoothing and age uncertainty limit the precision of the ancient comparison.
Reconstructed history / GGF100k
The wider record keeps the comparison honest. The same modern value is 5.0% below the Holocene mean and 12.6% above the 100,000-year mean in GGF100k. A retreat from a high, an anomaly relative to a mean and the rate of decline answer different questions. 92
The recent decline has not accelerated continuously. Five-year IGRF intervals since 2015 imply roughly 4.1–4.7% loss per century, slower than earlier peaks. Meanwhile, the weak-field footprint continues to expand. A worsening state can coexist with an easing rate. 1,2
◐Reconstruction: IGRF-14, computed here
The 33.9% comparison uses a separate published high-dipole input of 11.64. It is not GGF100k’s maximum millennium and is not an upper confidence bound. 94,92
The field is the surface expression of a working dynamo. Mantle structure, conducting flow and rapid waves interact—but do not all run at the same pace.
Large low-shear-velocity provinces beneath Africa and the Pacific can influence the core’s thermal boundary conditions. They are not direct measurements of present heat flux or a newly crossed dynamo threshold. 99,50
Geomagnetic jerks mark abrupt changes in secular acceleration. Simulations reproduce them through hydromagnetic waves focusing near the core surface. Sharp local change therefore has a physical explanation that does not require a global polarity reversal. 100
A regional core flow changing direction, or the inner core changing motion relative to the mantle, is not the global magnetic field reversing. 41,40
Mechanism atlas / select a pathway
Follow the transfer: heat, angular momentum, particles, atmospheric chemistry, or lost service.
Established pathway / changing regional expression
Heat loss and compositional buoyancy sustain moving, conducting fluid. Long-lived mantle heterogeneity can influence where non-dipole structures recur; it does not prescribe the date of an excursion.
The approximately six-year band shared by several rotation, magnetic and climate-related records is a serious coupling question—not a validated excursion clock. 46
Excursions, reversals & paleomagnetic limitsGeomagnetic storms, particle events and radiated flares are different hazards. Their timing, direction, spectrum and duration decide what reaches Earth.
■Computed from GFZ / SILSO · complete cycles 17–24
Across the eight completed cycles, the pooled severe-storm rate is 3.38 after maximum versus 2.51 before. Yet only four cycles share that direction, and the 95% cycle-resampling interval for the ratio spans equal rates. The defensible finding is persistent post-maximum exposure—not a universal escalation. 3
Particle access depends on magnetic geometry and energy. What happens next depends on altitude, atmospheric mass and chemistry. A weak-field contour cannot be converted directly into a radiation dose, and dipole loss cannot be converted directly into grid loss. 44,45,6
◇Published scenario / Larsen et al., 2026
The consequence can outlast the forcing. An extreme particle-event model with no geomagnetic field produces elevated surface UV for up to six years. That boundary case is neither today’s South Atlantic Anomaly nor a forecast of disease. It demonstrates a potentially prolonged chemical response under explicit extreme conditions. 45
For ground infrastructure, local magnetic variation, electrical conductivity, grid configuration and operating limits determine the route from forcing to loss. 6,69
Storm records, particle transport & severe scenariosThe Solar System travels through a structured interstellar medium. A changing environment is measurable; the strongest modeled encounter is a separate, conditional case.
Not because a cold-cloud collision is inferred today. It belongs because the heliosphere is a physical boundary condition on terrestrial particle exposure, nearby interstellar structure is observationally constrained, and published experiments show that sufficiently different boundary conditions can produce qualitatively different exposure regimes. Present state, conditional severity and timing remain separate conclusions.
A 2026 Antarctic study detected interstellar iron-60 in ice from 40–81 thousand years ago. Compared with younger records, the material influx supports a changing local environment—not a measured present-day cosmic-ray surge. 107
Nearby warm-cloud boundaries deserve attention. But a boundary’s location alone does not specify its gas pressure, thickness, magnetic field or exposure effect. The possible Local Interstellar Cloud exit over the next 2,000–6,000 years is not a dated dense-cloud impact. 107,108,119
Approximately 5,000–10,000 K. A diffuse local environment discussed in the material-influx study. 107
20 K and 14.1 km/s relative speed. Assumed encounter conditions—not measurements of the gas around us today. 102
Under those dense-cloud inputs, a published simulation places the upwind heliopause at 0.22 ± 0.01 AU, inside Earth’s 1-AU orbit. A 2026 extension adds locally accelerated energetic particles. It expands the severe scenario beyond reduced filtering, but its external particle spectra do not directly specify ground dose. 102,103
Whether the proposed ancient encounter left the expected isotope record remains contested in a published critique and reply. Gas history, encounter duration and archive response must be resolved together. 104,105
Compressed-heliosphere spectra, a structured weak geomagnetic field and atmospheric transport could interact consequentially. That combination is worth modeling explicitly. Multiplying a particle-production ratio by the percentage loss of dipole strength does not calculate it—and cannot establish that the required encounter is happening now. 106,103,44
Galactic-centre proposals, supernova material, the Radcliffe Wave and observed gamma-ray-burst effects remain in the evidence dossier, with their distinct messengers and limits. 112,109,111,113
The broader astrophysical evidenceA spectral band, a changing state and a successfully predicted transition are three different findings. None should be quietly substituted for another.
Describe amplitude, geometry and rate with a named reference. A large retreat can be real without identifying a transition boundary.
Identify the transfer of energy, angular momentum or particles. A weak trigger can matter near a threshold, but the coupling must be established.
A 145,000-year beryllium-10 analysis classifies 20 bands by production and archive effects. Its 11,637-year band belongs to the archive/system-only group, not the production-only group. This result cannot serve as evidence for an approximately 12,000-year external catastrophe clock. 101
Each equal-width mark represents one reported band, not its spectral power. Attribution to solar versus geomagnetic production remains unresolved. 101
Surface calm cannot prove a deep system is safe.
An unseen threshold cannot prove it is near.
Claims of shortening event intervals need a consistent catalogue, stable detection rules and predictions made before the next event—not a selection of increasingly close dates.
All 20 periods & the 14-path evidence mapThe consequential threshold may be a battery running out, a water supply failing or repair access closing—not a global geophysical transition.
Power, communications, roads, fuel and repair capacity depend on one another. A single shock can remove both normal supply and the means to replace it. An eventual return to normal does not erase the exposure accumulated in between. 7,83,75
Hours off for power per fixed-panel cell site · 28 September–7 October 2024
Georgia’s power-off burden exceeded South Carolina’s despite a better conditional continuity percentage. More exposure outweighed the apparently better protection.
Heat, stored-water loss or prior damage changes the available margin.
An event interrupts electricity, access or communications.
The damaged system slows the crews and resupply needed to repair it.
An essential substitute becomes unavailable before restoration.
A conditional storyline, not a reconstructed failure history for every Helene site. 7,83,89
During the May 2024 Gannon storm, targeted switching in New Zealand reduced induced currents at key transformers while maintaining supply. One monitored peak was about 113 A versus roughly 200 A in a modeled no-mitigation case. The same external hazard can meet a different operating state. 88
Protect the service, the recovery channel and the route that replenishes them. Measure what remains usable by the deadline—not just what exists in inventory.
Recovery, autonomy & allocation modelsThe strongest synthesis is continued warming, changing magnetic exposure and recurrent regional service crises. It is not a forecast of synchronized planetary failure.
The severe outcome need not begin with the most spectacular event. It begins when the emergency outlasts the available alternatives.
Warming and accumulated environmental damage keep raising the work of maintaining water, cooling, electricity and recovery. Most systems continue operating; some regions repeatedly exhaust their protection. 9,16,17
A strong solar disturbance, an extended blackout or overlapping emergencies can overwhelm reachable support. Severity depends on location, equipment, duration and feasible response—not a single global field number. 6,7,69
Excursions, severe cloud encounters and common-driver hypotheses deserve discriminating tests. Present evidence does not provide a calibrated imminent probability for their conjunction. 97,102,101
The future is not a countdown.
It is a changing margin.
This outlook is a synthesis judgment, not a calibrated probability model. Agency forecasts retain their original issue dates in the analytical dossier; illustrative trend continuations remain separate from predictions. Read the detailed horizon and scenario analysis ↗
Detailed evidence, experimental constructs and methods. Open only the layer you need.
Observations and reconstructions describe the world. Conditional models test a stated setup. Exact examples expose a mechanism. Their units, baselines and assumptions are kept separate here.
An exceptionally hot month measures immediate exposure, a decade-average attributed trend measures the sustained shift, and ocean heat, sea level and ice measure accumulation. Each keeps its own record, so a cooler month leaves the trend and the stored heat in place.
The 2026 Indicators of Global Climate Change assessment puts observed warming over 2016–2025 at 1.26°C above 1850–1900, with a range of 1.13–1.36°C; human-induced warming over the same decade is 1.24°C. Human-induced warming is now advancing at about 0.27°C per decade, with a likely range of 0.2–0.4°C. These decade-scale figures measure the sustained shift rather than any single year.9
The HadCRUT5 record shows the same structure. Its 2016–2025 mean is 1.28°C above 1850–1900; 2024 stands at 1.53°C and 2025 at 1.40°C. Ordinary least-squares trends steepen from 0.21°C per decade over 1975–2025 to 0.25°C over 2000–2025 and 0.36°C over 2011–2025. The last figure is inflated by the 2023–2024 peak and by natural variability within a short window; it is a description of the record, not an estimate of the forced rate.2,12
HadCRUT5 annual global mean surface temperature, re-expressed relative to its own 1850–1900 mean, with the dataset’s 95% range. Horizontal bars are decade means; the gold bar is 2016–2025. The partial 2026 year is omitted.12
WMO reports that August 2026 was the warmest August on record and June–August the warmest Northern Hemisphere summer, with ocean-surface temperatures setting a daily record during August. El Niño added to those conditions on top of the long-term forcing.13
Earth’s energy imbalance—the gap between absorbed sunlight and emitted heat—is the quantity that drives accumulation. A synthesis of satellite and ocean observations finds that it has more than doubled in recent decades and now runs well above what climate models simulated for the period. The authors link much of the discrepancy to falling solar reflectivity and warn that the capacity to observe the imbalance is deteriorating as satellites are decommissioned.10
The reflectivity change has a specific signature. In 2023 global temperature rose almost to 1.5°C above preindustrial, beating the previous record by about 0.17°C; known drivers including anthropogenic warming and El Niño’s onset fall about 0.2°C short of explaining it. Satellite and reanalysis data identify a record-low planetary albedo as the main bridge, largely through reduced low cloud over the northern mid-latitudes and tropics. Whether that cloud decline is internal variability, fewer aerosols or an emerging feedback remains open.14
Carbon dioxide continues to accumulate faster each decade. At Mauna Loa the average annual increase rose from 0.88 ppm per year in the 1960s to 2.41 in 2010–2020 and 2.63 over 2015–2025. The 2025 annual mean was 427.35 ppm, 2.74 ppm above 2024, after a 3.53 ppm rise from 2023 to 2024.2,15
■Computed here from NOAA Mauna Loa annual means
WMO’s September 2026 water assessment reports a continuing decline in global freshwater storage and widespread glacier loss, with about 1,400 gigatonnes of glacier mass lost over 2023–2025. Groundwater, snow and glaciers each carry water across seasons, so their depletion sets a worse starting position for the next dry period. Local water security still turns on withdrawals, storage, catchment conditions and management.16
Satellite altimetry shows global mean sea level rising 111 mm from 1993 to 2023, with the rate increasing from about 2.1 mm per year at the start of the record to about 4.5 mm per year at its end. Continuing that trajectory adds about 169 mm over the next three decades, comparable to mid-range IPCC projections. Ocean and ice-sheet responses commit further rise over centuries.11,17
The Planetary Health Check 2026 finds seven of nine planetary boundaries transgressed: climate change, biosphere integrity, land-system change, freshwater, nutrient cycles, novel entities and ocean acidification. The boundaries are assessed guardrails for Earth-system processes, so seven of those processes now operate outside the range considered safe.18
Coral reefs show why exposure, damage and recovery are separate measurements. NOAA reports that about 84% of the world’s coral reef area experienced bleaching-level heat stress between early 2023 and mid-2025, and its June 2026 assessment concludes that the fourth global bleaching event likely ended in mid-2025. The end of an event marks the end of widespread heat stress; recovery of the injured reef communities is a separate and slower process.19
●A documented severe outcome
After the 2023 marine heatwave, a study of Florida’s Coral Reef found 97.8–100% mortality among the monitored Acropora palmata and Acropora cervicornis colonies in the Florida Keys and Dry Tortugas, and 37.9% mortality offshore southeast Florida. The authors conclude that these two reef-building corals are now functionally extinct on Florida’s Coral Reef.20 A heatwave striking an intact reef, a full reservoir or a rested workforce is a different event from the same heatwave striking a depleted one. The relevant reserve is the function that remains when the next hazard arrives.
Melting ice moves mass from the poles toward the equator, increasing Earth’s oblateness and lengthening the day. Reconstructions of surface mass change since 1900 put the climate-induced trend in length of day between 0.3 and 1.0 milliseconds per century through the twentieth century and 1.33 ± 0.03 ms per century since 2000. Under high-emission scenarios it may reach 2.62 ± 0.79 ms per century by 2100, overtaking lunar tidal friction as the largest single contributor to long-term change.21 The effect is tiny for daily life and large as a fingerprint: surface climate change now shows up in planetary geodesy alongside the core and the Moon.
The Atlantic Meridional Overturning Circulation illustrates a mechanism whose direction is agreed and whose threshold is not. A physics-based early-warning analysis in a state-of-the-art model reports the circulation to be on a tipping course.22 An analysis of 34 climate models under extreme greenhouse and freshwater forcing finds it weakened but sustained by Southern Ocean upwelling in every case, concluding that a twenty-first-century collapse is unlikely.23 Both findings are model-based. The disagreement concerns whether models capture the stabilizing and destabilizing pathways, which observations alone cannot yet settle.
? Unresolved A collapse of the Atlantic overturning circulation this century.
Global surface temperature responds differently from the slow components: once CO₂ emissions reach zero, the model comparison finds a central multidecadal temperature commitment near zero, with spread across models. Continued long-lived damage and the ability to halt further warming are both true at once.17,24 For infrastructure, this separates two tasks. Existing exposure requires protection and recovery capability now. Future forcing sets the burden those protections will face.
Before summer 2026, NERC assessed anticipated resources as adequate for normal peak conditions in every North American bulk-power assessment area, while identifying elevated risks in selected areas under more extreme conditions. That was a prospective adequacy assessment, rather than a record of every local outage.25 Its longer-horizon assessment found resource-adequacy challenges in 13 of 23 areas over 2026–2035, under the demand and resource plans supplied to it. NERC also records later demand revisions and accelerated resource programmes that can improve the outlook. The risk is a changing balance of demand, usable supply and timely investment—not a uniform decline in every region.26
Earth’s main magnetic field is generated by motion in its liquid outer core. Swarm observations show different regional trends: weakening over parts of the South Atlantic and Canada, strengthening over Siberia and evolving structure southwest of Africa. A single global strength value cannot capture these changes.27,28
Total field strength at Earth’s surface from IGRF-14 at five-year epochs, 1900–2025, with the 2030 field extrapolated from the model’s 2025–2030 secular variation. The area below 32,000 nT grows from 8.9% of the surface in 1900 to 21.1% in 2025, while the minimum falls from 25,462 to 22,094 nT and moves west from about 37°W to 60°W. Colours show field strength, not radiation dose.1,2,29
■Computed trajectory / IGRF-14
Field strength, regional extent, pole speed and geometric offset can move at different rates.
Position is not velocity. A larger anomaly can coexist with an easing dipole decline.
Velocity is not destination. Continuing along the recent tangent is an extrapolation, not a dynamo forecast.
Compare the five-year rates ↓The dipole moment—the strength of the field’s dominant, bar-magnet-like part—fell from 8.32 to 7.69 × 10²² A m² between 1900 and 2025, a decline of 7.6%, or 6.1% per century on average. The rate has not been constant. In five-year steps it peaked near 9.2% per century around 1915–1920 and again near 8.7% around 1980–1985; since 2015 it has run at 4.1–4.7% per century, and IGRF-14’s secular variation implies about 5.3% for 2025–2030.1,2
■Computed here from IGRF-14 coefficients
A 1900 baseline measures the instrument-era change. It does not measure the retreat from the strongest part of the Holocene. In GGF100k, the sampled Holocene high is 9.824 × 10²² A m²; the strongest 1,000-year average is 9.603. Against the 2025 total dipole of 7.690, those differences are −21.7% and −19.9%. The strongest 500- and 2,000-year averages give −21.0% and −18.3%. Selecting a sustained high is a meaningful answer to “maximum average,” but the averaging interval is part of the definition.92
Computed comparison / explicit reference states
Ebihara and colleagues used 11.64 × 10²² A m² as their strong-dipole experiment: 1.5 times their standard 7.76, linked in their discussion to the Holocene maximum about 2,650 years ago reported by Knudsen and colleagues. Today’s total dipole is 33.9% below that input. This supports a substantially larger high-to-present comparison than 7.6%, but it is not a newly measured maximum, a Holocene-wide mean, or a maximum millennium average.94,93
The plotted GGF100k reconstruction is sampled every 200 years and rounded to 0.001 × 10²² A m². The record ends at 0 BP = 1950; the modern line is a separate 2025 reference, not a measured continuation between those dates. The selected millennium spans approximately 2.25–1.25 ka BP. Smoothing, calibration, geographic sampling and age uncertainty limit how precisely the high can be located.92,51
Strength, energy and stand-off distance have different percentages. Relative to 11.64, the 2025 total dipole retains 66.1% of the moment. Squaring that ratio gives 43.6%, or a 56.4% reduction in an idealized dipole magnetic-energy scaling at fixed geometry—not 56.4% less biological shielding. A simple dipole pressure-balance model at unchanged solar-wind pressure gives a characteristic radius proportional to M1/3, hence about 12.9% smaller. These are transformations under stated assumptions; neither predicts ground dose or grid damage.92,94
| Reference | 10²² A m² | 2025 change | Definition |
|---|---|---|---|
| 100,000-year mean | 6.827 | +12.6% | GGF100k; 0–100 ka BP |
| Holocene mean | 8.098 | -5.0% | GGF100k; selected within 0–11.7 ka BP |
| 1900 instrumental reference | 8.321 | -7.6% | IGRF-14; total dipole |
| Strongest 2,000-year mean | 9.417 | -18.3% | GGF100k; selected within 0–11.7 ka BP |
| Strongest 1,000-year mean | 9.603 | -19.9% | GGF100k; selected within 0–11.7 ka BP |
| Strongest 500-year mean | 9.736 | -21.0% | GGF100k; selected within 0–11.7 ka BP |
| Sampled Holocene peak | 9.824 | -21.7% | GGF100k; selected within 0–11.7 ka BP |
| Published high-dipole reference | 11.640 | -33.9% | Ebihara et al.; high-state model input, not a moving mean |
The Holocene-wide mean of the same reconstruction is 8.098; today’s dipole is 5.0% below that mean. The 100,000-year mean is 6.827, making today 12.6% higher. A high-to-present loss, a mean-relative anomaly and a present rate of change are three different facts. Choosing only the least dramatic or only the most dramatic denominator would conceal that structure.92
Newer reconstructions also challenge confidence in any single Holocene curve. Nilsson and colleagues’ 2024 joint reconstruction argues that hemispheric data imbalance has biased some dipole estimates low and that stronger Holocene fields can explain part of the slow cosmogenic-isotope variation often attributed to the Sun. That makes the baseline question more important—not settled by one smoothed series. The same result also weakens the independence of a supposed solar cycle inferred after an incorrect geomagnetic correction.95
Two published analyses frame what the decline does and does not imply. A stochastic model of the axial dipole built from two million years of paleomagnetic data finds the current rate of decline unusual but within natural variability.30 A follow-up shows that the historical trend would reverse the field in under 2,000 years if sustained, and that sustaining it that long is highly unlikely given how trends of that length vary in the paleomagnetic record.31
Supported The decline can be produced by natural geomagnetic variability. This is a statement about mechanism, not a guarantee of stability or harmless exposure.30,98
GeoPhasix tracks one part of the reorganization with the ratio of quadrupole to dipole degree power, R₂/R₁. The ratio grew 1.948-fold between 1945 and 2025 and about 2.75-fold since 1900. The Spectral Migration Index, SMI = ln(R₂/R₁), expresses that relative weighting on a logarithmic scale.29
Most of the degree-two growth has a simple geometric meaning: the best-fitting dipole is moving away from Earth’s centre. This equivalent eccentric dipole sat about 407 km from the centre in 1945 and 609 km in August 2026. It is moving faster than in earlier periods of this record, at about 2.8 km per year since 2020 against 1.75 km per year over 1900–1950. This is a mathematical description of field geometry, not a physical displacement of the core or the planet’s centre of mass. The dipole remains the dominant component.29
◐Reconstruction: IGRF-14 and CHAOS-8.7
The rate of reweighting fluctuates even as the displacement accelerates. Its highest five-year values came in the late 1970s and its satellite-era peak around 2013; over January 2025–August 2026 it stood at about 0.0075 per year, slightly below its 1945–2025 average. The recent easing comes mainly from the non-offset twist turning negative, while the offset part, which carries the displacement, still supplies most of the growth.29
◐Reconstruction: IGRF-14 and CHAOS-8.7
The north dip pole—where the field points straight down—moved slowly around northern Canada for centuries. NOAA’s annual positions, from the gufm1 historical model and IGRF, put its speed under 15 km per year for most of the record, rising sharply after 1990 to a peak near 58 km per year around 2010, then slowing every year since to about 37 km per year by 2024. The British Geological Survey describes the deceleration from about 50 to 35 km per year as the largest it has observed.2,32,33
■Computed here from NOAA pole positions
Satellite-era analyses attribute the surge to a change in the pattern of magnetic flux at the core surface: a lobe of strong flux beneath Canada elongated and weakened while a Siberian lobe strengthened, shifting the balance of the tug between them.34 The south dip pole has moved far less, at 3–9 km per year since 1985 in IGRF-14. Pole motion and dipole decline are different measurements of the same core flow, and they need not accelerate together.
The August 2026 reconstruction contains a secondary surface minimum of about 23,304 nT. Followed upward, it remains a distinct minimum to about 249 km, where it merges with a neighbouring saddle point. Above that height the field has a single minimum, including at the 450 km altitude of many low-orbit spacecraft.29
The merger has the form of a generic minimum–saddle fold: near the merging height, the strength difference between minimum and saddle shrinks as the three-halves power of the remaining distance. The feature’s reach is climbing about 12 km per year, slower than its mid-2010s peak, and its estimated height shifts by roughly ten kilometres with the model’s spatial resolution.29 Its operational meaning runs through particle transport. Radiation changes can appear before a second minimum reaches a spacecraft’s altitude, and a new minimum adds a second dose maximum only where particles populate it.35,36
Satellite data now resolve interannual structure in the core itself. Recurrent non-axisymmetric flow patterns with periods of about seven years have been identified as magneto-Coriolis waves, with related activity in bands centred near 3.5 and 15 years.37,38 The arrival of such wave energy at the core surface accounts for many features of interannual field change, including the sharp changes in secular variation known as geomagnetic jerks; slower fluctuations of a planetary-scale gyre account for decadal changes in the length of day.39
Deeper still, repeating earthquakes recorded between 1991 and 2023 show that the solid inner core began to rotate more slowly than the mantle around 2010, backtracking relative to the surface for the first time in decades. The authors attribute the change to coupling with the outer core’s flow and to gravitational pull from dense mantle regions; its effect on day length is of order a thousandth of a second.40
✓ Supported The inner core’s motion relative to the mantle changes. ? Unresolved A particular inner-core change as the cause of the modern South Atlantic trajectory. The emerging coupling research below distinguishes modeled pathways from that larger attribution.
Some connections are direct physics: mantle heat extraction helps drive core convection; conducting fluid generates the magnetic field; angular momentum moves between the core, mantle and surface fluids. Other connections are hypotheses about which process drives a particular observed oscillation. Those are different levels of knowledge. The same word—reversal—can describe a regional flow changing direction, the inner core changing its motion relative to the mantle, or a global magnetic polarity transition. Only the last is a geomagnetic reversal.39,40,41
Mechanistic schematic, not a measured network. Arrow direction identifies a physical pathway; it does not quantify its strength or imply synchronized change across all layers. Sources and the limits of each connection appear in the selected pathway.7,10,39,42,43,44,45
Madsen and colleagues infer core-surface flow from magnetic observations spanning 1997–2025. Beneath the equatorial Pacific, their reconstruction changes from weakly westward to strongly eastward around 2010, then weakens after 2020. They propose a connection with contemporaneous inner-core behaviour; the timing motivates that hypothesis but does not establish it. This is evidence of reorganizing flow within a working dynamo—not an observation of the magnetic poles exchanging global polarity.41
Magnetic secular variation constrains an inverse model of flow.
The regional equatorial-Pacific flow changes direction.
A second change in the inferred trajectory, not continued acceleration.
A separate September 2026 study by Zhang and Dumberry reconstructs the torques associated with multidecadal changes in day length. Its observation-constrained model favours gravitational coupling between the inner core and mantle as the driver, with electromagnetic and topographic torques generally resisting the variation. The result depends on the inferred inner-core rotation and core-flow histories. It strengthens a specific deep-Earth coupling explanation; it does not establish an impending excursion or a driver of modern warming.42
Cazenave and colleagues review an approximately six-year band in core magnetism, Earth rotation and several climate-related records, including atmospheric angular momentum, sea level and hydrology. The day-length component is of order 0.1 milliseconds, and the reported period varies with the record rather than behaving like a precise metronome. They regard the pattern as a substantive research problem while leaving its system-wide origin unresolved.46
For interpretation, matching spectral peaks is a starting point. A shared-driver explanation must also reproduce spatial pattern, phase, amplitude and a viable transfer of energy or angular momentum. A band-pass filter makes a selected band visible; it does not identify the cause. Neither the presence of a six-year mode nor a multidecadal torque cycle supplies a countdown to a millennial-scale excursion.
Redistributing ice and water changes the planet’s mass distribution. A 2024 model attribution assigns about 90% of the interannual and multidecadal variation in rotational polar motion to surface mass redistribution, while mantle processes dominate the long-term drift. This concerns the rotation axis relative to the crust, not the north magnetic pole that travels kilometres per year. Feedback involving core dynamics is a proposed component of the attribution, not a demonstrated explanation for the South Atlantic Anomaly.43
Historical and paleomagnetic reconstructions contain SAA-like structures that did not progress into excursions or reversals. A 9,000-year reconstruction links such anomalies to millennial dipole variation and proposes the asymmetric field around 600 BCE as an analogue. Its suggested disappearance of the modern SAA within a few centuries is an analogue-based projection, not a validated recovery timetable; newer ensemble reconstructions limit confidence in the ancient comparison.47,48,49,96
Qualified SAA-like structures have historical analogues, but the modern anomaly is more pronounced in one newer model comparison. Neither its precise uniqueness nor a reversal already in progress is established. 96,49
The modern field’s trajectory is therefore read from its own evolution. Resemblance to a weak-field configuration leaves the endpoint open, and the consequences are measured as exposure: where particles concentrate and where induced currents flow.
A 2024 study of Trindade volcanic directions and regional paleomagnetic records finds persistent strong non-dipole behaviour in the South Atlantic over the past ten million years. It supports a long-lived influence of heterogeneous conditions at the core–mantle boundary. But directional non-dipole structure is not the same observable as low field intensity: normal and reversed flux patches can both increase directional dispersion. The evidence favours a persistent regional preference, not an uninterrupted modern-style anomaly or a short-term reversal clock.50
That distinction allows two ideas to coexist: mantle structure may shape where anomalies preferentially develop, while faster core flow determines their evolution and disappearance. A long-lived geographical influence does not force a monotonic decline at the surface.39,50
The large low-shear-velocity provinces, or LLSVPs, are deep-mantle structures beneath Africa and the Pacific identified seismically. They can influence the thermal boundary conditions above the liquid core. A persistent boundary pattern can organize much faster flows and waves; a slow mantle does not require every magnetic response to be slow. But seismic structure is not a direct measurement of current core–mantle heat flux, nor of a newly crossed dynamo threshold.39,50,99
Rogers, Beggan and Whaler’s 2025 analysis finds substantial regional secular-variation structure associated with LLVP regions, but no systematic suppression of secular variation beneath them. It is useful evidence against treating the structures as simple magnetic dead zones. It does not turn their existence into a date for field collapse. The relevant question is whether a changing boundary condition or core response is independently observed, rather than whether a persistent structure exists.99
A geomagnetic jerk is an abrupt change in secular acceleration: the slope of the field’s rate of change changes. Aubert and Finlay reproduced jerks through fast hydromagnetic wave packets focusing near the core surface. This supplies a mechanism for sharp, localized magnetic changes without a global polarity transition. A jerk can still matter for model forecasts and field geometry; its presence alone does not diagnose excursion onset.100
The recent evidence also limits an overly confident recovery story. ArchKalmag8k, published in 2026, finds the modern SAA more pronounced than the selected ancient anomalies in its comparison, with wide uncertainty and very different configurations among early ensemble members. Its results do not establish uninterrupted modern-style anomalies sweeping around the planet. The older suggestion that the SAA could fade within a few centuries remains an analogue-based possibility—not a scheduled recovery, and not something on which to base reassurance.96,49
Mechanism schematic / not a measured causal network
Core-wave bands, jerk dates, excursion ages, solar-cycle phases and a star’s Galactic trajectory do not measure the same process. The core studies discussed above identify multiple bands, while the six-year rotation–climate connection remains an open coupling problem. Selecting a run of shorter gaps from a mixed catalogue can manufacture apparent acceleration. A changing detection threshold can do the same when newer observations resolve events that older records miss.37,38,46
A defensible contraction claim must survive one event definition, one detection procedure, uncertainty in ages, regional versus global classification, the changing observation window and a suitable non-periodic comparison. Periods discovered after trying many bands need a multiple-testing correction. The next interval must then be forecast before it is observed. This assessment does not derive a contraction law from the small list of named excursions, or a near-term hazard multiplier from increasingly detailed satellite observations.
Excursions show what profound magnetic reorganization can look like. The useful comparison is not only with the deepest minimum, but also with the preceding trajectory, its persistence, and the field’s geometry. A long-term average cannot settle the onset question.
GGF100k provides a long reconstructed context, not a universal normal state. Its displayed time series averages 6.827 × 10²² A m² over 100,000 years, while the 2025 total dipole is 7.690. The Holocene-high comparisons above are appreciably less reassuring than that mean-relative statement. Both belong in the assessment. A present value far above the deepest Laschamps minimum does not, on its own, rule out an early trajectory toward a weak-field interval.92,51
There is published support for asking this question quantitatively. Knudsen and colleagues suggested an empirical dipole level near 4 × 10²² A m² below which excursions and reversals occur in their reconstruction. That is not a universal bifurcation boundary. Their quantity is an axial dipole estimate; the matching 2025 IGRF axial moment is 7.591, derived from g₁⁰, rather than the total dipole’s 7.690. The present axial value is about 1.90 times that proposed level and would have to fall a further 47.3% to reach it. This comparison gives scale, not a waiting time. The proposed level does not identify the earliest precursor, and remaining above it is not an all-clear signal.93,118
About one-fifth below a sustained GGF100k high; about one-third below the separate 11.64 reference. This describes history, not a failure boundary.
A threshold can define an excursion in an analysis without identifying the first physical onset of the instability.
A warning threshold needs tests on both transitions and recoveries, with a specified lead time and false-alarm rate.
Gwirtz and colleagues make the distinction explicit: their low-dipole event begins below 10% of the long-term mean and ends above 80%; the optimized warning threshold is a different quantity. Forecast skill varies across dynamo models and paleomagnetic reconstructions. Neither 10%, 80%, nor a percentage lost from the Holocene maximum can be borrowed as a ready-made countdown for today.97
The strongest warning would not be “today already looks like the Laschamps minimum.” It would be persistent global dipole erosion accompanied by spatial reorganization that demonstrably approaches a pre-transition state. The strongest counterexample is substantial weakening followed by recovery. Buffett’s 2024 analysis treats ordinary variation, excursions and reversals as potentially different expressions of shared dynamics: how long a trend persists matters. A natural origin does not make an extreme outcome impossible; a short natural trend does not establish its continuation.98
Being closer in amplitude is not the same as being close in time. The high-to-present comparison increases the measured loss. It does not supply the missing dynamical boundary, present distance to that boundary, or conditional transition probability. Those must be estimated using matched spatial resolution, age uncertainty and non-transition controls—not only an attractive overlay with one past event.
◐Reconstruction: GGF100k and LSMOD.2, evaluated here
The Laschamps excursion, about 41,000 years ago, is the best-documented weak-field event. In LSMOD.2 it is governed mainly by axial dipole decay and recovery: the axial dipole falls almost to zero but does not reverse. The underlying process lasts about 5,000 years, from 43 to 38 thousand years ago, and its surface expression about 2,000 years. The following Mono Lake interval may contain several excursions between 36 and 30 thousand years ago, with dipole and non-dipole power at the core surface becoming comparable. This is a description of that model, not a rule that every reconstruction must share.52
Evaluating LSMOD.2 directly reproduces that behaviour. Its axial dipole coefficient never changes sign over 49.9–30.05 thousand years ago, and its dipole moment bottoms out at 0.39 × 10²² A m², about a twentieth of today’s. At that minimum the model’s average surface field is about 8,800 nT against about 42,200 nT for the 2025 field truncated to the same resolution, and the whole surface lies below 32,000 nT, against 21% today.2,52 A space-plasma reconstruction of the same epoch puts the field near 10% of modern values, with dipole weakening and tilting over about 300 years, and shows auroral regions and open field lines expanding and wandering toward low latitudes.53
✓ Supported During a global excursion, auroral and open-field-line exposure extends toward low latitudes.
GGFSS70 reconstructs 15–70 thousand years ago from nine selected high-resolution sediment records. It places the Laschamps dipole minimum at 0.12 × 10²² A m² around 40.97 ka, and includes a roughly 300-year reversal of the axial dipole between 41.25 and 40.93 ka. LSMOD.2 does not reverse that coefficient. The models agree on a profound weak-field episode, but not on every detail of its deepest state.52,54
◐Published reconstructions / different resolving power
GGFSS70 also reports dipole minima of 1.87 at 64.87 ka for the Norwegian–Greenland Sea event and 3.30 at 34.47 ka for Mono Lake/Auckland. Even within one reconstruction, named excursions need not reach the same depth. A single “excursion-strength field” is therefore an incomplete input to an exposure calculation.54
Laschamps weak-field and directional expressions span different intervals in different models. Duration is not the time between events.
Excursions and full reversals are different event classes. Their catalogues are incomplete and their rates are not universal constants.
Neither a past transition duration nor an average interval establishes a validated warning time for the present field.
Excursions occur at paleointensity minima and last a few thousand years or less. About seven are well documented and age-calibrated in the present Brunhes chron; reviews list more candidates, and some appear only regionally.51,55,56 North Atlantic sediments record four late-Brunhes excursions in the intervals 32–34, 39–41, 180–188 and 205–225 thousand years ago, associated with the Mono Lake, Laschamps, Iceland Basin and Pringle Falls events.57 Gaps between documented excursions range from several thousand years to several hundred thousand.
●Observation: dated excursion records
Directional change during these events can be very rapid. Comparing geodynamo simulations with a 100,000-year field model, one study finds maximum rates of directional change near 10° per year, typically while field strength is falling—almost a hundred times faster than current changes. The clearest observed example is about 2.5° per year some 39,000 years ago.59
Intensity rates are harder to compare. The modern dipole decline, about 0.5 × 10²² A m² per century averaged since 1900, is close to the steepest decline in LSMOD.2 (0.60 per century, near 41.1 thousand years ago) and above the steepest in GGF100k (0.47). Both paleomagnetic models smooth rapid change, so their rates are resolution-dependent smoothed estimates and the comparison with instrumental data is not like for like.2 The published stochastic assessment, which accounts for that variability, finds the modern rate within natural variation.30
The last full reversal, from the Matuyama to the Brunhes chron, is dated at 773,000 years ago in the 2020 Geologic Time Scale.58 A synthesis of lava flows, ocean sediments and Antarctic ice cores finds that it took at least 22,000 years to complete, with a final directional reversal of under 4,000 years preceded by a long interval of instability.60
The polarity record shows that reversal frequency itself changes over tens of millions of years. Counting the boundaries in GTS2020 gives under one reversal per million years just after the Cretaceous Normal Superchron ended 83 million years ago, rising to about 4.4–4.8 per million years over the last 20 million. Over the last 10 million years the mean polarity interval is about 196,000 years and the median 132,000.2,58
■Computed here from the GTS2020 polarity timescale
The present chron, at 773,000 years, is longer than 46 of the 47 earlier complete polarity intervals of the last ten million years. That makes it unusual, not demonstrably overdue. Those intervals are irregular, reversal rates change through geological time, and a fitted interval distribution does not by itself establish a memoryless process or a future hazard rate.2,58 A published stochastic assessment conditioned on a present axial dipole of 7.6 × 10²² A m² gives under 2% probability of being in the reversed state after 20,000 years and 11% after 50,000 years. Those are results of that paleomagnetic model, not a universal clock.30
✕ Not supported The field is about to reverse.
A weaker field admits more cosmic radiation to the atmosphere, raising the production of cosmogenic isotopes such as beryllium-10, which is how ice cores record the Matuyama–Brunhes reversal.60 Beyond that well-established chain, several larger claims remain contested. One study links the Laschamps excursion to a global environmental crisis about 42,000 years ago, including atmospheric ozone changes and megafaunal and human effects; the paper drew a published critique in the same journal.61,62 The space-plasma reconstruction notes that ochre use, tailored clothing and cave occupation appear in regions its model places under the expanded auroral zone, and presents that as a fresh perspective rather than a demonstrated cause.53
? Unresolved The Laschamps excursion caused a global environmental crisis or shaped Neanderthal and human outcomes.
A separate claim connects the field and the Sun to modern climate through cosmic rays seeding clouds. CERN chamber experiments establish ion-enhanced particle nucleation, but cloud-relevant changes also depend on particle growth and survival. The evaluated solar-cycle effect on cloud condensation nuclei is small; independent aerosol modelling finds a response about two orders of magnitude too small to explain the cloud changes at issue. That constrains a proposed explanation of present warming without denying the underlying ionization chemistry.63,64
✕ Not supported Changes in the geomagnetic field or cosmic-ray flux are a significant driver of present warming.
| Claim | Standing | Basis |
|---|---|---|
| The dipole is declining and the weak-field region is growing | ✓ Supported | IGRF-14 and Swarm; reproduced here from the coefficients.1,2,27 |
| The decline lies within natural paleomagnetic variability | ✓ Supported | Stochastic model of two million years of dipole data.30 |
| A reversal is imminent | ✕ Not supported | Under 2% in the opposite-polarity target state after 20,000 years in a specified stochastic model; not an excursion-onset probability. Some SAA-like states recover without reversal.30,47,49 |
| The South Atlantic Anomaly is unprecedented | ✕ Not supported | Recurrent analogues over 9,000 years; not linked to excursion initiation.48,49 |
| Excursions bring directional changes far faster than today’s | ✓ Supported | Simulations matched to a 100,000-year model; an observed 2.5° per year event.59 |
| Weak-field intervals expand auroral exposure toward low latitudes | ✓ Supported | Space-plasma reconstruction of the Laschamps field.53 |
| The Laschamps excursion drove a global environmental crisis | ? Unresolved | Published claim and published critique.61,62 |
| The field or cosmic rays drive present warming | ✕ Not supported | Ion-enhanced nucleation occurs, but the evaluated cloud-relevant response is too small for the proposed modern-warming explanation.63,64 |
| Climate change is altering Earth’s rotation | ✓ Supported | Surface mass redistribution explains the accelerating oblateness trend.21 |
Occurrence rates only become comparable after defining the event, the observing window and the detection threshold. A magnetic storm, a particle shower and a radiocarbon spike overlap in their solar origins, but they are not interchangeable outcomes.
A disturbance of Earth’s magnetic environment. Each index samples different structure and cadence.
Time-normalized Kp record ↓A particle event energetic enough to appear in ground neutron-monitor observations.
65A dated anomaly filtered through atmospheric transport, carbon cycling and the sampled archive.
66An electromagnetic outburst on a selected star. Earth-directed particle fluence is another quantity.
67In 67 ground-level enhancements, Owens and colleagues found occurrence approximately four times more likely around solar maximum than minimum, with additional cycle structure. Their result does not turn the post-maximum Kp pattern into a particle-event forecast. The severe event definition—and not simply the word “solar”—determines the relevant cadence.65
For radiocarbon, Usoskin, Miyake and Golubenko show that background solar modulation and carbon-cycle response can imitate or obscure smaller candidate events. In their model, events below roughly 0.5–0.7 of the specified reference cannot be robustly identified without knowing the background. That reference is 100 times the 20 January 2005 particle event; it is not the 1956 event used in the flight-dose example below. An archive’s apparent gaps therefore cannot automatically be read as physically quiet centuries.66
At the stellar scale, Vasilyev and colleagues identified 2,889 superflares on 2,527 of 56,450 Sun-like stars, above 10³⁴ erg. Their approximate once-per-century population recurrence is important evidence about energetic stellar behaviour. It is not a once-per-century forecast for an Earth-directed solar particle event, still less for a catastrophic geomagnetic storm: stellar selection, radiated energy, particle acceleration and Earth interception intervene.67
The South Atlantic Anomaly is an established hazard for spacecraft crossing its radiation environment. Ground grids face a different route: rapid external magnetic variations induce geoelectric fields, which drive currents through particular conducting networks. Each pathway has its own calculation, and each is triggered on the solar cycle’s schedule.6,68
| Pathway | Relevant quantities | Consequence to measure |
|---|---|---|
| Trapped radiation in low orbit | Field geometry, particle energy and direction, sources, atmospheric losses, orbit and shielding.36 | Detector counts, dose, component events and lost mission service. |
| Transient space-weather forcing of a grid | Local disturbance waveform, ground conductivity, line geometry, transformer response and operating state.6,69 | Equipment stress, voltage response, interrupted service and restoration. |
| Changing upper atmosphere | Neutral density, spacecraft altitude, drag, debris population and orbit management.70 | Residence time and collision exposure, separate from particle dose. |
GFZ’s planetary Kp index runs continuously from 1932. Counting days whose maximum three-hour Kp reaches 8− or higher, and treating severe days separated by no more than one quiet day as a single storm, the record to 1 October 2026 holds 278 severe storms, 68 of which reached Kp 9− or higher.2,71 About 46% begin in March, April, September or October. About 32% are followed by another severe storm within 30 days, compared with about 30% in the season-and-cycle comparison. That particular comparison explains most of the observed follow-on fraction; it is not a test of every possible source of event dependence.71
■Computed here from GFZ Kp and sunspot records
■Computed here
Cycle 25’s 13-month smoothed sunspot number peaked at 160.9 in October 2024.72 By 1 October 2026 it had produced 13 severe episodes, four reaching Kp 9− or above: May and October 2024, November 2025 and January 2026. That is fewer than cycles 17–23 had at the same elapsed cycle time (18–45) and more than cycle 24, which had six. Six of cycle 25’s 13 occurred after maximum. These are observed counts, not a prediction of how the rest of the cycle will unfold.2,71
The declining phase is not a guarantee of quiet. The follow-on analysis did not detect a material excess beyond its season-and-cycle comparison. That result is specific to its event definition and null model, not proof that solar storms never cluster through additional processes.71
Across completed solar cycles 17–24, 69.2% of severe storm onsets occurred after maximum—but that phase occupied 62.5% of the observed time. Dividing by duration gives 3.38 storms per year after maximum against 2.51 before: a pooled rate ratio of 1.35, not the 2.25 ratio of raw counts. Only four of the eight cycles have a higher post-maximum annual rate.3
Episodes begin on a day reaching Kp ≥ 8−; severe days separated by at most one quiet day remain one episode. The extreme subset contains those episodes reaching Kp ≥ 9−. A phase boundary is the first day of the month of the 13-month smoothed maximum. The interval is an illustrative 20,000-resample cycle-bootstrap interval, not a forecast or a model of independent storm arrivals.3,71,72
The result becomes less pronounced for the Kp ≥ 9− subset: 0.78 versus 0.68 episodes per year, a pooled ratio of 1.14. Resampling whole cycles gives broad 95% intervals—0.96–2.37 for severe storms and 0.66–2.91 for the extreme subset—both spanning equal rates. With only eight cycles and substantial between-cycle variation, the useful conclusion is continued exposure after maximum, not a universal post-maximum escalation.3
The storm of 10–11 May 2024, the Gannon storm, reached a Dst minimum of −412 nT, the seventh largest by Dst since 1957, and a one-minute SYM-H peak of −518 nT, the second largest since 1981 after March 1989. Its integrated recovery-phase disturbance exceeded those of the 1989 and 2003 storms.73 The heated, expanded thermosphere accelerated orbital decay: one tracked Starlink satellite reached reentry about eleven days earlier than predicted before the storm, according to a preprint that has not been peer reviewed.74 The storm also tested grid operations, which the recovery analysis examines.
A six-year CSES study finds a double-peaked distribution for 2–10 MeV protons and a single peak at 10–20 MeV. Its proton-defined SAA area shrank by about 6.1% over 2019–2024, while studies of the magnetic field document a growing weak-field area over a different period. Different energies, thresholds and observables draw different boundaries, so a magnetic footprint can grow while a particle footprint contracts.28,35
Field-line tracing turns the map into an orbital screen. In the internal-field calculation, the zone whose minimum mirror altitude stays above 200 km covers 7.6% of the 450 km shell in 1950 and 6.2% in August 2026, a contraction of about a fifth, drifting west while the surface weak-field area grows. Truncating the field at degree two makes this screening zone about 2.6 times larger. The result identifies sensitivity to detailed geometry; the 200 km threshold is a screening convention, and particle lifetime and dose require transport and atmospheric-loss calculations.29,36
◐Reconstruction: internal field, traced here
Trapped-particle populations follow a balance, dN/dt = Q − νN: the population N changes through its source Q and loss rate ν. With the source fixed, slower loss raises the steady population. A record of N alone cannot separate the two, because any admissible loss history pairs with the source Q = dN/dt + νN.75
An exact construction makes this concrete: the same 11-year, ±5% population cycle arises from reference loss times of one year and ten years, each with a positive source and a positive loss rate. Particle lifetimes are identified from independent information, such as several energy and pitch-angle channels, measured injections or direct loss measurements, rather than from the amplitude or lag of the solar-cycle response.75
Climate change also reaches orbit through the upper atmosphere. Greenhouse-gas-driven cooling contracts the thermosphere and reduces drag, so debris stays in orbit longer; modelling finds substantial losses of sustainable satellite carrying capacity under specified emissions scenarios. Storms act the other way on short timescales, heating and expanding the thermosphere and raising drag for days.70
A 2026 Laschamps reconstruction traces particle access through the full non-dipole field, then calculates atmospheric radiation. The modeled area with cutoff rigidity below 1 gigavolt grows from 13.6% for 2020 to a maximum 48.3% at 41,050 years before present. Lower cutoff admits lower-rigidity particles, but route, altitude, spectrum and field geometry still determine exposure.44
Exact values from Figures 7–8; modern and ancient fields are run under matched scenario assumptions. The event is a hypothetical replay of the 23 February 1956 ground-level enhancement, not a Laschamps observation or a present aviation forecast. Background and event views use different units and scales: 1 mSv = 1,000 μSv.44
Trajectory and rigidity determine which charged particles reach a location. Geometry matters alongside global dipole strength.44
Altitude sets how much air remains overhead. Secondary-particle radiation aloft is not ground-level ultraviolet exposure.44
Particle ionization can alter nitrogen chemistry and ozone, changing the ultraviolet that reaches the surface.45
Arsenović and colleagues model an extreme solar particle event under several magnetic conditions. In the no-geomagnetic-field boundary case, they obtain a 20–25% increase in UV index and a 40–50% increase in a solar-induced DNA-damage proxy, with elevated surface UV lasting up to six years. These are modeled relative changes in a deliberately extreme scenario; the biological weighting is not a measured increase in disease, and no field is not today’s field—or the full structured Laschamps field.45
The important co-factor is the conjunction: magnetic configuration × particle spectrum × atmospheric response. It can produce a prolonged consequence from a short forcing event. It does not show that an excursion caused a specific extinction, that a modern anomaly is equivalent to a missing field, or that particle effects explain the present warming trend.
A September 2026 U.S. study couples geoelectric forcing, grid assets, transformer thermal vulnerability and economic activity. Its 250-year-return-period scenario affects about 5.1 million people and causes about US$1.81 billion in daily economic loss, with a conditional 95% interval of US$1.65–1.96 billion.69 The study ends where this assessment continues. Restoration duration, grid reconfiguration and backup at critical facilities lie outside its calculation, so its daily figure becomes a total only through a restoration trajectory, the subject of the recovery and continuity analyses.
The prehistoric record expands the severity envelope beyond the satellite era. Golubenko and colleagues’ 2025 chemistry–climate reconstruction of the 12350 BC radiocarbon spike estimates an extreme solar particle event 18 ± 11% stronger than AD 775. A nearly doubled radiocarbon spike did not imply a doubled particle event: glacial atmospheric and carbon-cycle conditions changed the recorded response. Event dating and inferred particle strength are not equivalent to a prediction of the next event.114
The current cycle is already past its smoothed sunspot maximum: SILSO identifies October 2024, at 161. A separate SIDC analysis of cycles 21–24 finds strong X5+ flares concentrated in some post-maximum years, including the equal-duration bin represented by May 2026–April 2027 in cycle 25. This is relevant to continued vigilance. It measures soft-X-ray flare timing—not the rate of Earth-directed ejecta, ground-level particles or grid-damaging storms. The exposure-normalized Kp analysis above therefore remains a separate result.115,116
The physical branches can move in opposite directions: solar magnetic activity modulates incoming galactic cosmic rays while flares and ejecta create their own radiation and magnetic disturbances. A quieter phase in one channel need not quiet another. Event spectrum, magnetic connection to Earth, arrival direction and duration matter more than a single generic label of “solar energy.”44,65,66
Ebihara and colleagues’ MHD experiments show why ionospheric conductivity is a consequential co-factor. Lowering the model dipole from 7.76 to 5.17 made the peak westward-electrojet proxy about 24% stronger with their conductivity scaling—but about 20% weaker without that scaling. The model excludes quadrupole structure and simplifies precipitation physics. This is a response calculation, not a measured modern trend or an outage forecast.94
The important inference is that reduced field strength need not mean reduced electrical disturbance simply because a smaller magnetosphere intercepts less energy. A changed coupling can move a particular response in the other direction. An infrastructure operating limit can therefore be crossed without Earth’s dynamo approaching a reversal threshold.
Published research contains consequential mechanisms and new evidence of changing interstellar material influx. It does not show that today’s local environment is the extreme cold-cloud regime used in the strongest simulations.
The heliosphere is the solar-wind cavity in the interstellar medium. Its size and particle filtering depend on the external gas, magnetic environment and the Sun’s own outflow. Opher’s 2026 review treats changing Galactic surroundings as a potentially important environmental influence over geological time. Repeated encounters are physically credible; recurrence on million-year scales is not a phase-locked millennial clock, and neither establishes a 2026 arrival date.117
Physical pathways / schematic, not to scale
A May 2026 Antarctic-ice study provides direct material evidence. Koll and colleagues measured supernova-derived iron-60 in 295 kg of ice spanning 40–81 thousand years ago. The inferred deposition, 0.22+0.14−0.12 atoms cm⁻² yr⁻¹, is lower than recent Antarctic-snow and younger sediment estimates, supporting a change in the interstellar material encountered by the Solar System. The paper summarizes a possible exit from the Local Interstellar Cloud within the next 2,000–6,000 years and discusses possible mixing with the G-cloud at our current location. This is a changing-influx result, not a measurement of an ongoing cosmic-ray surge or a new nearby supernova.107
The local-cloud geometry is itself under discussion. Linsky and Redfield review competing descriptions of nearby warm gas, including discrete clouds and continuous structure. A boundary can alter the heliosphere, but “near a cloud boundary” does not specify its density contrast, crossing date, thickness or radiation effect. Those are the quantities needed to distinguish a modest environmental change from a severe compression.108
Published environments / do not substitute one for the other
Approximately 5,000–10,000 K. A diffuse local environment discussed in the iron-60 study.
20 K, with a relative speed of 14.1 km s⁻¹. An assumed past-encounter condition.
Vannier and colleagues’ 2025 Hubble/STIS study strengthens the case for local environmental variability. Eight sight lines along the Sun’s historical trajectory reveal small-scale structure and support changing density in its recent past and near future. The authors discuss a possible present LIC/G-cloud interface and an estimated LIC exit in less than about 3,000 years. They detect no cold, dense material along their observed sight lines. That non-detection is spatially limited, not a complete census of every nearby cloud.119
Opher, Loeb and Peek’s 2024 simulation asks what happens if the Sun meets a cold, dense cloud of the specified type. It places the upwind heliopause at about 0.22 ± 0.01 AU, inside Earth’s 1-AU orbit, for a proposed encounter 2–3 million years ago. This is a serious physical mechanism for losing much of the heliosphere’s usual filtering. In that calculation the interstellar magnetic field is neglected because gas ram pressure dominates: calling the result a demonstrated “Galactic magnetic pulse” would misidentify the driver.102
The 2026 extension adds particle acceleration, not only reduced filtering. In its compressed-heliosphere scenarios, Opher and colleagues obtain heliospheric energetic particles with sub-10-MeV proton intensities at least an order of magnitude above extreme modern solar-particle events, with exposure lasting months along relevant orbital segments. Outside the compressed cavity, sub-GeV galactic protons are also enhanced. These are conditional spectra outside Earth’s magnetosphere, not a calculated tenfold increase in surface dose. Their atmospheric significance depends on energy, geographic access and duration.103
The past-event attribution is actively contested. In April 2026, Koll and colleagues argued that cosmogenic nuclides do not show the prolonged large cosmic-ray increase expected from a strong 2–3-million-year-ago exposure. Opher and colleagues replied that encounter duration, density structure and latitude-dependent isotope production can change what survives in the geological record. The disagreement is about a testable physical history—not a reason to treat the mechanism as either established history or impossible.104,105
Nica and colleagues’ August 2026 preprint estimates roughly ninefold and threefold global beryllium-10 production in selected 0.2-AU and 0.7-AU heliopause scenarios. It holds Earth’s dipole near its modern strength and omits atmospheric/oceanic mixing from that production calculation. The useful next comparison is a joint reconstruction: compressed-heliosphere spectra × structured weak geomagnetic field × atmospheric transport. Multiplying these production ratios by a dipole-loss percentage would not solve that problem.106
The 2026 iron–plutonium–curium study separates supernova-material delivery from older r-process material: the iron-60 and plutonium-244 profiles are not simply correlated. A 2025 marine beryllium-10 anomaly near 10 million years ago admits production and ocean-transport explanations. Neither record independently supplies a recurring near-term catastrophe date. Deposited dust, cosmogenic production and a burst of radiation are different observables, with different transport and dating filters.109,110
There are also published Galactic-centre hypotheses. LaViolette’s 1987 paper proposes cosmic-ray volleys and dust-related environmental consequences; its existence should not be erased from an exploratory assessment. Establishing a present episode would require a source history, propagation model and independently dated terrestrial signatures that distinguish it from solar modulation, geomagnetic change and archive effects. The primary abstract examined here does not supply a calibrated current-arrival forecast.112
Likewise, the observed oscillation of the Radcliffe Wave concerns the motion of a large Galactic gas structure, not detection of a coherent electromagnetic front approaching Earth. A spatial pattern becomes an exposure history only after calculating the Sun’s path, the structure’s evolution and their encounter uncertainty.111
Direct astronomical effects on Earth are demonstrable. Piersanti and colleagues linked the 9 October 2022 gamma-ray burst GRB 221009A to an upper-ionospheric electric-field perturbation. That is evidence for an atmospheric response to a distant event. It is not evidence that such a pulse penetrated to the core or triggered a geomagnetic excursion. Photons, charged particles and interstellar dust cannot be merged into one mechanism merely because all originate beyond Earth.113
The strongest case is built by connecting causes, state and consequences—not by counting how many unusual-looking records can be placed on the same page.
Beer and colleagues’ 2025 analysis identifies persistent bands in a 145,000-year Antarctic beryllium-10 record and reports close period agreement between its first and last approximately 70,000 years. The authors describe 17 new solar-activity cycles, but explicitly leave potential geomagnetic origins unresolved because paleomagnetic reconstructions disagree. Their separation of production from archive effects is essential: a period in an isotope record is not necessarily a period in external radiation.101
Published classification / years per cycle
18,0126,5085,7823,833
15,50313,8378,4417,7227,1364,6954,5564,1103,9613,2923,1042,0251,680
23,97121,10111,637
Nilsson and colleagues’ 2024 joint reconstruction illustrates why attribution can change: hemispheric geomagnetic evolution alters polar cosmic-ray proxies differently, and the approximately 2,400-year Hallstatt signal can be strongly affected by that separation. This does not settle every longer band in the 2025 analysis. It does mean that solar histories corrected with a field model cannot then be treated as wholly independent evidence confirming that same magnetic history.95
Require robust frequency and phase under alternative age models, detrending and independent records. A narrow spectral peak is not enough.
Require the correct geographic fingerprint and transfer mechanism, not only a similar period in another signal.
Require a frozen event rule, prospective timing tolerance, misses and false alarms. Recurrence is not a forecast until tested that way.
The same caution applies to “timing contraction.” A changing period, an increasing number of detected events, and a falling time-to-failure are different hypotheses. A convincing case would predict the next interval and the affected observables before seeing them. Mixing a millennial cosmogenic band with year-scale core waves and day-scale solar disturbances does not perform that test.
Rejecting every weak external driver because it cannot supply the whole energy of a transition would be too crude. A perturbation can trigger the release of internally stored energy, shift a near-threshold system, or synchronize an existing oscillator. The opposite shortcut is equally unsound: invoking “resonance” or “tipping” does not establish that a particular forcing couples efficiently to the core, ocean or atmosphere.
A useful evaluation identifies the affected state variable, the coupling, its gain and phase, the relevant relaxation time, and the boundary separating recovery from transition. It then asks whether observations constrain those quantities today. An external-to-core proposal needs an induction or torque pathway through the intervening layers; an external-to-ozone proposal needs particle spectra and chemistry. Demonstrating the second does not establish the first. Surface calm cannot prove a deep system is safe; an unseen threshold cannot prove it is near.
These pathways are not equally established, equally severe or independent. The map separates measured conditions, conditional response calculations and unresolved attribution. It is an evidence map, not a summed risk score.
14 pathways shown
| Influence | What it supports | What it does not establish | Discriminating evidence |
|---|---|---|---|
| Holocene dipole retreatReconstructed state | Substantial decline from sustained highs; instrumental decline is the shorter comparison. | A larger percentage alone does not time onset. | Matched modern and paleo ensembles, including recoveries.92,93 |
| SAA, offset and non-dipole structureObserved / modeled geometry | Regional magnetic access and field representation are changing. | Related outputs from the same coefficients are not independent alarms. | Energy-, altitude- and orbit-resolved exposure.29,96 |
| LLSVPs and core boundary conditionsMechanism; timing unresolved | Deep-mantle heterogeneity can organize the dynamo boundary. | No newly crossed boundary is established by seismic structure alone. | Independent heat-flux/flow constraints and dynamo response.99,50 |
| Jerks and core-wave bandsObserved; modeled mechanism | Rapid secular-acceleration changes and localized waves are credible. | No validated monotonic interval contraction or common onset clock. | Uniform global/regional event catalogue and held-out timing tests.100,37,38 |
| Rotation, inner core and surface massCoupling; attribution incomplete | Angular-momentum exchange and mass redistribution are real pathways. | Magnetic-pole motion is not rotational polar motion. | Torque budgets, spatial fingerprints and phase consistency.43,42,46 |
| Solar flares, ejecta and energetic particlesObserved and paleo-inferred | Different event populations retain severe tails beyond the modern record. | X-ray counts, Kp and isotope fluence are not interchangeable. | Separate occurrence, Earth connection, spectra and duration.114,116,65 |
| Weak field with extreme particle forcingConditional transport / chemistry | Geographic redistribution and prolonged atmospheric effects can be important. | Zero-field limits are not today’s SAA; no single global dose multiplier. | Joint structured-field and atmospheric calculations.44,45 |
| Local interstellar material and warm cloudsMeasured material; interpretation | Iron-60 supplies evidence of a changing encountered environment. | Material influx does not diagnose a current cold-cloud compression. | Gas/field properties, cloud trajectory and isotope consistency.107,108 |
| Cold-cloud compression and HEPsSevere modeled branch | Compression can reduce filtering and add accelerated particles. | Past attribution is contested; present encounter conditions not established. | Joint spectra, cloud duration, geomagnetic access and archives.102,103,104,105 |
| Supernovae, bursts and Galactic-centre pulsesMixed observations / hypotheses | Astrophysical material and atmospheric burst responses exist. | No single current pulse or common recurrence is established. | Messenger-specific travel times and independent source constraints.109,113,112 |
| Millennial bands and orbital contextSpectral observations; attribution | Published cycles and moving Galactic structures merit testing. | Periodicity does not establish a synchronized planetary hazard. | Phase stability, chronology ensembles and prospective predictions.101,95,111 |
| Climate, oceans, water and ecosystemsObserved pressure; scenario thresholds | Changed thermal and ecological conditions can erode recovery margins. | These risks neither require nor establish a magnetic trigger. | Forcing-specific observations; distinguish warming, variability and feedbacks.9,16,22,23 |
| Conductivity, grid topology and satellite orbitsExposure and system response | Location and operations shape consequences of a given external disturbance. | Dipole loss does not convert directly to grid losses or satellite failures. | Local dB/dt, conductivity, orbital transport and operating state.6,36,70,88 |
| Compound interruption and recoveryObserved outcomes; conditional models | One shock can remove both normal supply and the means to replace it. | A global reserve count is not timely local protection. | Matched site-level failure, repair and replenishment histories.4,7,75 |
Consider a strong energetic-particle spectrum meeting a geographically altered magnetic field and a vulnerable atmospheric state. That can be more consequential than changing any one factor alone. At the same time, a high-latitude route already open to a particle population can change little while lower latitudes change much more. The route-specific weak-field results above demonstrate why “global shielding down by X%” is an inadequate exposure model.44
The proposed compressed-heliosphere/weak-geomagnetic-field combination is therefore worth explicit calculation. Its conditional severity cannot substitute for evidence that the Solar System is currently entering the required cloud. Separately, an extreme solar event can create a major operational shock under today’s field. It does not need a reversal, an interstellar encounter or a planetary synchronization to matter.103,106,45,6
The serious interpretation is asymmetric. The baseline correction increases the long-term magnetic decline that must be acknowledged. New space-environment work enlarges the set of physically plausible severe scenarios. Neither supplies a calibrated imminent global tipping probability. Present exposure, potential conditional severity and event timing must remain three separate conclusions.
Recovery coupling is the dependence of one system’s restoration on another system’s condition. Roads enable access. Electricity supports communications and pumping. Fuel and spares support repair. A dependency can set the pace of restoration even when it played no part in the initial failure.
During Tropical Storm Imelda in 2019, more than 95% of outages farther than 30 km from flooded roads were repaired within ten hours, while 40% of those within 5 km remained unrepaired after ten hours. Spatial and prior-period controls point to localized impairment from flooded access rather than a uniform shortage across the service area.7
The mechanism produces three distinct conditions: a busy but recoverable repair queue; a queue whose effective capacity declines as damage accumulates; and a system that recovers but misses the deadlines of the services it supports.
A minimal model shows the second condition. Let B be unfinished repair work, a the continuing arrival of new work and c nominal repair capacity. Let b set how quickly throughput rises when work is available, and K the backlog at which damaged support begins to constrain throughput:
The last factor expresses damage-dependent impairment of repair. Without it, throughput rises toward c; with it, effective throughput peaks and then falls. When incoming work stays below that peak, the model has a stable low backlog and an upper recovery boundary, beyond which repair cannot catch up under unchanged conditions.75
○Model, interactive
With a = 8, c = 20, b = 10 and K = 100, the stable backlog is 7.55 work units and the recovery boundary 132.45. A 20% loss of capacity moves the boundary to 77.02 and cuts the margin between equilibrium and boundary from 124.90 to 64.03 work units: a 20% loss of capacity removes 49% of the margin.75
Disturbances also interact through their timing. A 100-unit work shock alone is recoverable, and so is a 30-day reduction of capacity from 20 to 16. Together they leave about 151 units of unfinished work when the impairment ends, above the original boundary, so restoring ordinary capacity no longer reverses the trajectory. Extra crews or protected support during days 30–90 do.75
○Model
The severe implication is direct. Recovery becomes harder when recovery itself loses support. Where that feedback operates, protecting access, communications, fuel and repair logistics changes the course of the emergency, not merely its initial damage.
A hospital, water system or cooling centre needs continuity over a specific interval; eventual recovery does not provide it.
In Louisiana after Hurricane Ida, a published assessment counts about 35 million customer-hours of simultaneous power outage and heat exposure above an outdoor heat index of 37.8°C (100°F). A separate three-city simulation found that multiday blackouts during heatwaves more than doubled modeled heat-related mortality rates in Atlanta, Detroit and Phoenix.76,77
Let T be time until normal service returns and A the usable autonomy of a substitute. Under full substitute service until A, followed by full restoration at T, uncovered time is:
Usable autonomy reflects actual load, equipment condition and available replenishment. Nameplate energy alone does not specify it; intermittent service and repeated refuelling require a time-resolved service trajectory. In a four-site example, restoration times and autonomies are both 1, 2, 4 and 8 days. Each averages 3.75 days under every arrangement. Changing only the pairing moves mean uncovered service from zero to 2.25 days per site, and the share with any gap from zero to 75%.75
◇Exact example, enumerated here
The arrangement that interrupts the most sites differs from the one that loses the most time: cyclic mismatch interrupts three of four sites for an average of 1.75 days, opposite pairing two of four for 2.25 days. Counting failures and integrating their duration answer different questions.
When the pairing is unknown, let FA(t) be the fraction whose autonomy has run out by time t, and FT(t) the fraction restored by then. The sharp bounds on mean uncovered duration are:
Matching equal quantiles attains the lower bound; matching opposite quantiles attains the upper. A positive lower bound proves a continuity shortfall even under the most favourable arrangement. These bounds apply to a specified population and operating condition with finite mean durations.75,78 A simpler deadline guarantee requires no dependence assumption. At a common deadline d, Pr(T > A) ≤ Pr(A < d) + Pr(T > d). If no more than 2.5% of sites have autonomy below 48 hours and no more than 2.5% take longer than 48 hours to restore, at most 5% have an uncovered interval in this model. This is a design condition, not a probability estimated from the hurricane counts.75
Under uninterrupted operation, usable energy must remain sufficient at every time before restoration. With initial usable energy E₀, cumulative usable deliveries DE(t) and required power p(t), the energy condition is:
In an exact example, a site starts with 24 energy units, uses one per hour and regains normal supply after 48 hours. A 30-unit replenishment at hour 12 preserves service; the same delivery at hour 30 leaves a six-hour interruption. Total supply is 54 units in both cases, exceeding the 48-unit requirement. Delivery timing alone changes continuity. The example assumes adequate storage and discharge power and no other failed dependency.75
◇Exact example
Fuel inventory, battery capacity and logistics have to be evaluated against the next exhaustion time. If required load rises, the same energy lasts less time. A communication link or pump can also remain unavailable with ample energy when another necessary component is down.
FCC disaster reports count cell sites off the air by reported cause—power, backhaul transport or physical damage—and, for Helene, sites operating on backup power. Here the power-observed subset means sites reported off for power plus sites operating on backup. Its conditional power-off share is P/(P + B), where P and B are the corresponding counts. Sites classified under transport or damage are outside that denominator, even when they also lack grid power.4,79
On 28 September 2024, roughly a day after landfall, the conditional power-off shares were 89% in western North Carolina, 64% in South Carolina and 62% in Georgia. By 4 October, about a week after landfall, they were 51%, 15% and 18%. The North Carolina share reached 40% on 7 October. These counts show prolonged unmet power needs; a power-coded outage alone does not identify whether backup was absent, exhausted, unable to start or otherwise insufficient.4
●Observation: reported category counts
Access was severely impaired during the same emergency. NCDOT reported about 390 road closures, including more than 60 on primary routes, on 28 September. CRS describes damaged fibre and obstacles to reaching and resupplying cell sites. Those records establish a credible access mechanism alongside the outage pattern. They do not isolate the proportion of the regional contrast caused by roads, fuel, backhaul or the initial intensity of damage.82,83
For the same fixed Helene panels and the same nine elapsed days, the power-off burden separates exactly into two factors. Let Pd be power-caused outage site-days, Gd power-observed site-days, N panel sites and W the observation window:
| Fixed panel | Observed power exposure | Conditional uncovered share | Power-off burden | Hours off for power per panel site |
|---|---|---|---|---|
| Western North Carolina21 counties, 1,452 sites | 26.3% | 68.9% | 18.1% | 39.1 h |
| South Carolina46 counties, 7,458 sites | 10.4% | 43.0% | 4.5% | 9.7 h |
| Georgia30 counties, 1,450 sites | 37.1% | 36.8% | 13.6% | 29.5 h |
Nine elapsed days, from 09:00 EDT on 28 September to 09:00 EDT on 7 October, sampled at ten daily reports. Site-days are trapezoidal estimates. Hours divide cumulative power-off time by every site in the fixed panel. They exclude separately coded transport and damage outages and do not measure subscriber-hours.4
Georgia’s conditional uncovered share was lower than South Carolina’s—36.8% against 43.0%—but its power-observed exposure was 3.56 times greater. Consequently, its power-off time per panel site was 3.05 times greater. Western North Carolina’s burden was 4.05 times South Carolina’s, combining 2.53 times the exposure with 1.60 times the conditional uncovered share. These are exact decompositions of the reported integrated totals, not estimates of a causal treatment effect.4
Conditional performance and total burden must travel together. A lower failure share during exposure can coexist with more lost service if exposure grows faster. Conversely, a worsening conditional share can coexist with less total lost service when exposure falls.
After Ida, Louisiana’s power-caused site outages fell 65.9% between the first report and four days later, while the site-weighted customer outage share fell 21.8%. Power-related wireless availability improved faster than the customer-grid proxy. Over 30 August–14 September 2021, the record contains 3,080 power-caused site-days against 12,733 estimated exposure site-days: a proxy uncovered share of about 24%. Its denominator and 15-day window differ from Helene’s direct category counts.4,80,81
The county rearrangement analysis also constrains the interpretation. Observed totals lie 0.45 and 0.50 of the way between the most and least favourable pairings for Ida and Helene, versus 0.47 and 0.43 under independent pairing. At that resolution, the evidence does not establish strong adverse pairing as the dominant explanation. The large regional differences remain to be explained by matched hazard, access, equipment and restoration records.4,78
Service resilience is therefore the fit between exposure, usable protection and restoration deadlines, for the people and functions that must be sustained under the conditions the hazard itself creates.
Increasing a dependent resource and preserving a resource outside the damaged dependency are different interventions.
In the repair model, any finite increase in c or K leaves dependent throughput falling toward zero at large backlog. Such increases enlarge the recoverable region, and an upper boundary remains. Add a separately supported repair capacity e that shares the low-backlog availability factor but not the damage-dependent support factor:75
At large backlog, Rtotal approaches e. If e is maintained above the continuing arrival rate a, the model has a single positive equilibrium and no upper boundary: every finite backlog returns to that equilibrium after an isolated shock, whatever its size. With a = 8, adding e = 10 turns a 500-unit backlog from continued growth into recovery toward 3.76 units. A 20% increase in dependent capacity and a doubled support scale both leave that backlog above their boundaries, where it keeps growing. The interactive model above shows each case through its presets.75
Portable generators, delivered fuel and satellite or microwave backhaul can bypass particular local failures. Their availability still depends on their own supply and access. In a complementary operator account from Beryl, AT&T reported more than 200 generators deployed by 10 July 2024 and more than 98% of its wireless network operating normally by 13 July, while crews continued refuelling. That is one operator’s operational account, not an all-carrier comparison with Helene.83,84
Repair support changes how and when normal service returns. Service backup changes what happens before that return. Both draw on access, fuel and communications that a single hazard can remove at once, so a complete protection strategy secures the supply line that keeps backup running, alongside the backup itself.
The independent-channel result requires e to remain available. A crew, generator, fuel tanker or replacement component already committed elsewhere cannot be counted again. Independence from local grid damage is different from independence from regional competition. A two-region allocation makes this exact.75
◇Exact example, interactive
The corresponding feasibility test checks every set of dependent destinations: their required work must fit within the capacity that can actually serve that set before the deadline. Under divisible work, known routes and a common deadline, this is an exact flow-allocation condition. Travel delays, specialist skills and task precedence make the real constraint tighter. A regional reserve total alone cannot pass the test.75
NERC’s review of a July 2024 Eastern Interconnection disturbance identifies about 1,500 MW of data-centre load transferring away from the grid to backup systems after voltage disturbances. Frequency and voltage rose; operators corrected voltage, and neither rise reached a level posing a reliability risk in that event. Protective behaviour that sustains individual facilities changes the network seen by everyone else, so transfer and reconnection dynamics belong in the resilience assessment.85
A mobility study of 101 cooling centres during Beryl found more visits from census block groups closer to the centres and from lower-income areas. It measured area-level use rather than individual heat dose or avoided deaths. The planning implication is to measure reachable, operating and usable refuge—not simply count designated buildings.86
The same distinction appears without any recovery boundary. In a two-variable linear model, an upstream disturbance decays over ten days and the downstream service relaxes over two days. Quadrupling the directional coupling raises the peak downstream deficit from 6.7% to 26.7% and the cumulative deficit fourfold, while both decay rates stay unchanged. Both systems recover; one inflicts four times the harm on the way.75 Long-run stability and transient amplification are separate properties, and work on stochastic systems likewise separates recovery within a state, escape from it and the observable used to assess either.87
During the May 2024 Gannon storm, New Zealand used targeted transmission-line disconnections to cut induced currents at key transformers while maintaining supply. A monitored Dunedin transformer peaked at about 113 A, against roughly 200 A modeled without mitigation, and consumers kept their supply through the storm.88 The relevant comparison is the same hazard under different feasible operating states. Heat, unavailable equipment or reduced reserve can constrain a protective configuration; preparation and alternative paths preserve it.
For a defined population, let si(t) be the fraction of essential service delivered and wi(t) the population, demand or consequence weight appropriate to that service.
This expression distinguishes a brief outage from a prolonged one and basic function from nominal asset availability. Its units follow the weights. Heat-weighted customer-hours, unserved electricity and loss of communications remain separate outcomes unless an explicit valuation connects them.75,76 A useful compound comparison holds the service, time horizon and operating information fixed. Let L₀ be ordinary loss, LH loss under environmental or repair stress, LS loss under a storm and LHS loss under both. The interaction is:
A positive value means the joint loss exceeds the sum of the separate increases on the chosen scale. A zero interaction can accompany catastrophic additive losses, and the loss unit matters: unserved megawatt-hours, customer-hours, heat-weighted exposure, repair work and economic cost measure different harms.8,75
○Model, computed here
In this simple reserve-margin model, adding reserve can cut the total joint loss while raising the calculated interaction. The interaction compares scenarios; service loss is the objective. A bound on instantaneous shortfall likewise leaves the harm accumulated over a long interruption to be counted on its own.75
The storm record’s 46% equinoctial share and 32% follow-on rate show that ordinary seasonal and solar-cycle timing is enough to overlap recoveries when restoration is slow.71 The relevant clock is the service’s own: a depleted reservoir, an unrepaired transformer and a short-lived backup supply each run on theirs. The size distribution of repair work per event controls how often a recovery boundary is crossed: thin-tailed and heavy-tailed shocks turn the same loss of margin into very different changes in waiting time. Service risk then turns on how restoration and autonomy pair at the same sites, the exposure during the gap and whether interventions can reach the sites.75
A coherent adverse sequence runs: environmental stress reduces operating reserve; a storm interrupts power or communications; access or repair support is impaired; an essential substitute becomes unavailable before restoration; and heat, water or care-related exposure accumulates. Each link requires a time interval and a mechanism. Helene documents severe access damage alongside prolonged power-related and backhaul outages, establishing the practical relevance of these links without identifying every site’s failure history.4,6,7,83,89 A contained sequence is equally coherent: protective switching limits equipment stress, independent communications and access preserve repair, and backup remains viable until service returns. The difference between the two outcomes lies in the system’s state, its dependencies and the response.
The larger Holocene comparison is real. So are core reorganization, extreme solar forcing and a changing interstellar setting. The evidence supports interacting hazards; it does not yet establish a common imminent planetary transition.
The climate and ecological findings justify concern directly. Sustained human-induced warming, a doubled energy imbalance, an accelerating rise in sea level, depletion of stored water and catastrophic regional biological losses each stand on their own record. Their relevance is the changed starting condition for the next shock.9,10,11,16,20
The magnetic evidence must be read against more than one baseline. The total dipole is 7.6% below 1900, about 20% below GGF100k’s strongest millennium and 33.9% below a separate published high-state reference. It remains above the same model’s 100,000-year mean. Field geometry is reorganizing, but these amplitude comparisons do not establish excursion onset or a remaining time to reversal. The modern SAA also deserves more caution than a simple promise of analogue-based recovery.92,94,96
External forcing belongs in the assessment on physical terms. Changing interstellar material influx is measured; very strong heliosphere-compression effects are conditional simulations; their past attribution remains contested. A millennial spectral band is not automatically Galactic, and an atmospheric response is not a demonstrated core trigger. These distinctions identify the strongest research opportunities without converting them into a countdown.107,103,104,105,101,113
The space-weather findings concern both cadence and exposure. Severe storms remain possible after solar maximum; after correcting for phase duration, the pooled contrast is modest and varies substantially between cycles. Weak-field simulations also show that particle exposure redistributes geographically rather than increasing by a single global factor. For a modern storm, operational configuration remains part of the outcome.3,44,88
The hurricane evidence separates exposure from protection. During the common Helene observation window, Georgia’s better conditional power continuity coexisted with roughly three times South Carolina’s power-outage burden per site. Western North Carolina’s burden was about four times South Carolina’s. A favourable backup percentage alone does not establish a favourable service outcome.4
Recovery support has to be reachable, timely and jointly feasible. An independent repair channel changes the model’s long-run behaviour when its capacity is maintained. Real channels draw on finite shared resources. Enough fuel at the end of an outage cannot erase a gap before delivery; enough capacity across a region cannot serve an isolated destination.
The complete assessment follows the service from exposure through interruption, substitute operation, replenishment and restoration. It counts successful containment as seriously as failure. It evaluates the work that can be finished and the protection that can be sustained before critical functions are lost.
The danger is not only the shock. It is the gap between losing what matters and making it available again.
The most likely direction is continued warming with recurrent regional service crises—not a single synchronized planetary breakdown, and not a magnetic countdown.
This part interprets the evidence above. Published forecasts keep their issuing agencies, original dates and definitions. Conditional arithmetic continues a stated rate under a stated assumption and is not a forecast. Synthesis judgments carry no calibrated probability, and the scenarios are overlapping conditional branches, not a mutually exclusive probability partition.
✦Synthesis judgment
The best-supported overall outlook is a world that keeps operating while asking more of its cooling, water, electricity and recovery systems. Adaptation contains many disruptions. Severe losses concentrate where a damaging event reaches a depleted system, or where essential substitutes fail before repair and resupply arrive. This combines a strong warming signal with demonstrated regional service failures and demonstrated capacity to contain them; the evidence is much stronger about those mechanisms than about the timing of a specific major outage.4,9,88
A storm need not become exceptional in every physical measure to become more harmful: greater heat during the outage, more critical load, inaccessible refuge or slower replenishment can change the outcome.4,76
△Published forecast, WMO, 3 September 2026
WMO’s September forecast gives nearly 100% likelihood of El Niño persisting through February 2027 and expects a very strong peak near the end of 2026, a specific near-term reason to prepare for temperature and rainfall disruption into 2027.90 A global ENSO forecast does not specify which locality will flood, dry out or lose power; drought and flooding can occur in different regions during the same episode. The operational question is whether a threatened region can sustain cooling, drinking water, clinical care and communications through the time needed to restore ordinary supply.
△Published forecast, WMO and Met Office, 28 May 2026
The decadal outlook assigns an 86% probability that at least one year in 2026–2030 exceeds the 2024 temperature record, 91% that at least one exceeds 1.5°C above 1850–1900, and 75% that the five-year mean exceeds 1.5°C. These are issue-date probabilities, not an October recalibration, and a year or five-year mean above 1.5°C differs from the long-term Paris Agreement measure.91
▭Conditional arithmetic
Forster and colleagues estimate 2025 human-induced warming at 1.37°C and the recent rate at 0.27°C per decade. Holding that rate constant gives 1.37 + 5 × 0.027 = 1.505°C in 2030, consistent with the authors’ stated continuation. This is not an annual observed-temperature forecast or a threshold-date confidence interval.9 The satellite sea-level record’s own quadratic trajectory implies about 5.0 ± 1.4 mm per year by 2030 and 6.5 ± 2.6 by 2050, if the observed acceleration continues.11
▭Conditional arithmetic from the historical record
Cycle 25’s smoothed maximum fell in October 2024. Across cycles 17–24, the post-maximum phase contained 69% of severe storms but also 63% of the observing time: 3.38 versus 2.51 episodes per year. The ratio falls to 1.14 for the Kp ≥ 9− subset, and cycle-resampling intervals span equal rates. The defensible expectation is continued exposure, especially in historically active seasons—not an automatically escalating annual hazard in 2025–2028. Cycle 25’s observed counts remain below cycles 17–23 at the same elapsed cycle time.2,3,71,72
△Published assessments
Buffett and Davis’s stochastic model, conditioned on an initial axial dipole of 7.6 × 10²² A m², gives under 2% probability of being in the opposite-polarity target state after 20,000 years and 11% after 50,000 years. Those are endpoint-state probabilities—not the probability of at least one earlier excursion or reversal, and not an all-hazard estimate. The field could cross and return before an endpoint. The World Magnetic Model remains a short-horizon navigation-field model, not a deep-dynamo transition forecast.30,33
▭Conditional arithmetic
Two continuations show why elapsed time and present trends are poor guides on their own. At its 1900–2025 average, the dipole would fall to GGF100k’s 100,000-year mean in about 170 years and to zero in about 1,500; sustaining the trend that long is exactly what paleomagnetic trend variability makes highly unlikely.2,31 A memoryless process at the last ten million years’ rate of 4.8 reversals per million years gives about 0.05% per century and 9% per 20,000 years for the onset of a reversal. Buffett and Davis instead report under 2% for being in the opposite polarity after 20,000 years, conditional on a strong initial axial dipole. This is an endpoint-state probability, not the probability of at least one earlier transition: a path can reverse and then return. The two quantities illustrate different assumptions and are not interchangeable forecasts.2,30,58
✦Synthesis judgment
The field reconstructions describe continuing reorganization, with different trends in displacement, spectral rate, pole motion and weak-field geometry. The satellite-era reweighting rate has eased even while eccentric-dipole displacement has accelerated; the pole has braked; the orbital screening footprint contracts while the surface weak-field area grows. Those combinations directly oppose a one-number narrative in which every measure is accelerating toward the same endpoint.29,32 The appropriate near-term expectation is continued spatial change, with consequences that vary by orbit, particle energy and infrastructure. A severe space-weather event remains a conditional operational scenario; whether it causes brief managed disruption or serious loss depends on local conductivity, assets and operating state.6,88
An extreme solar particle event coinciding with unfavorable magnetic access and atmospheric chemistry could produce a much wider exposure than an ordinary storm. A sustained dense-cloud encounter would pose a different, potentially prolonged forcing. Their consequence models deserve attention even when their present occurrence is not established. Neither scenario is assigned a numerical near-term probability here, and the zero-field, extreme-particle boundary case must not be read as a description of today.45,44,103
✦Synthesis judgment
More informative than another moving-pole headline would be a sustained, independently reconstructed shift across several quantities: dipole decay and its changing rate; global intensity and directional structure; non-dipole power separated from equivalent dipole offset; and energy-resolved particle exposure under known solar forcing. Agreement among quantities derived from the same coefficients is not independent confirmation. A new weak minimum is a geometry result until a transport or system response connects it to harm.
A repeated six-year feature, a regional flow reversal or a brief change in inner-core motion would sharpen dynamical questions. None alone supplies an excursion probability. Published analogues and weak-field scenarios are most useful as conditional branches: what exposure would look like under a different field, and which observations would distinguish that branch from continuing secular variation.41,44,46
Beyond Earth, a materially different assessment would require evidence of changed external gas pressure, magnetic conditions or energetic-particle spectra consistent with a specified incoming structure. Iron-60 trends can constrain material history, but cannot alone establish present radiation forcing. The forecast should change when those causal quantities change—not when an uncalibrated cycle is assigned a new peak date.107,108,102
✦Synthesis judgment
NERC’s assessments illustrate the divide: its pre-summer 2026 analysis expected normal-condition adequacy across all assessment areas, while its longer planning horizon identified challenges under specified demand and resource assumptions, with later plan changes that can improve those results.25,26 Routine service can remain reliable while particular combinations of weather, equipment unavailability and demand become harder to manage. That points toward episodic, geographically concentrated crises. The hurricane decomposition makes a plausible future pattern concrete: improving backup performance alongside flat or rising unserved time where exposure outpaces that improvement. The identity establishes the mechanism; it does not determine the future exposure trend in any particular region.4
The adverse regional case becomes more serious when several destinations depend on the same reserve. A nationwide generator count or a mutual-aid agreement does not tell whether an isolated county will receive enough assistance before its services become unsafe. Adaptation also changes network behaviour: continuity planning must include how many large facilities switch to backup simultaneously and how they reconnect.85
✦Synthesis judgment
WMO’s water assessment documents declining stored freshwater and substantial glacier losses; NOAA separates the end of widespread coral bleaching heat stress from the subsequent condition of reefs.16,19 Monitoring will increasingly need to distinguish a temporary respite from genuine replenishment. A wet season can improve one reservoir while groundwater depletion persists; cooler ocean conditions can stop additional acute heat stress while lost coral structure remains. The severe scenario is repeated disturbance before sufficient function returns.
| Scenario | Condition that selects the branch | Expected operational signature |
|---|---|---|
| Managed continuityCentral pattern outside the most exposed pockets | Support arrives before exhaustion; feasible alternatives and restoration capacity remain available. | Disruptions are contained. Service or substitutes return faster than the most critical deadlines. |
| Regional continuity crisisPrincipal recurring adverse branch | Heat or another exposure persists through an outage; power, access or backhaul defeats essential substitutes. | A long tail of unserved hours, repeated replenishment attempts, relocation and uneven access to protection. |
| Overlapping regional emergenciesHigh-consequence stress branch | Several affected regions compete for the same accessible crews, fuel, spares or transport capacity. | Aid available in aggregate but not by every deadline; recovery queues and untreated needs persist together. |
| Severe space-weather interruptionTiming tied to solar-cycle phase and season | Strong external forcing meets vulnerable assets and a constrained protective configuration. | Outcomes diverge with operating response, equipment damage and the restoration path; field geometry alone does not determine loss. |
The most credible serious outcome is not necessarily the most spectacular initiating event. It is an emergency that lasts beyond the available alternatives. A contained event can also be severe physically; successful protection is an outcome, not evidence that the hazard was harmless.
| Signpost | Evidence of worsening risk | Evidence of improving resilience |
|---|---|---|
| Service-weighted unserved time | Longer or more consequential gaps under comparable hazard exposure. | Less uncovered service for comparable exposure, including the hardest-hit areas. |
| Autonomy–restoration margin | The short-autonomy tail falls below the long-restoration tail in the same event-conditioned population. | Measured autonomy covers restoration deadlines even under adverse pairing. |
| Resupply and shared capacity | Delivery delays exceed energy endurance, or destination-specific work exceeds reachable capacity. | Feasible allocations and delivery schedules remain valid with several regions affected. |
| Environmental recovery | The next disturbance arrives before stored water or ecosystem function recovers. | Measured replenishment and retained function, rather than only a weaker immediate hazard. |
| Energy imbalance and its observation | A continued rise in the imbalance, or loss of the satellite record that measures it. | A stabilizing imbalance and continuity of radiation-budget observation. |
| Magnetic operational exposure | Independent particle or grid outcomes worsen after accounting for energy, forcing and operating state. | Exposure is contained or reduced despite changing geometry. |
| Dipole and weak-field trajectory | A renewed acceleration of the five-year dipole decline in the next IGRF generation, with continued growth of the area below 32,000 nT. | Further easing of the decline, or a halt in weak-field growth as one analogue-based interpretation proposes. |
| Declining-phase storms | Severe storms at or above the historical post-maximum rate meeting grids and constellations with thin operating margins. | Storms of comparable strength met with managed configurations and short restorations. |
The hurricane aggregate reports supply the first building block for the service signposts: exposure and power-off occupancy. They do not supply individual battery lifetimes or a causal estimate of road access. Linked site-level spells are needed before assigning calibrated service-failure probabilities from those margins.4
✦Synthesis judgment
The most likely trajectory is continued near-term warming, substantial residual environmental damage and repeated pressure on essential services. The plausible severe tail is geographically uneven and operationally specific: an exposed population loses access to something essential before the recovery system can replace it. That outcome is neither trivial nor predetermined. Lower emissions constrain future warming; maintained alternatives and feasible response reduce losses during the damage already faced. Zero-emissions temperature commitment and long-lived sea-level or ecological responses are different questions, so preventing additional warming and living with existing damage remain simultaneous tasks.17,24
Expect a harder job of maintaining normal life—not a single date on which normal life ends.
Observational findings retain the populations and periods of their sources. Geomagnetic quantities are reconstructions from IGRF-14, CHAOS-8.7, GGF100k and LSMOD.2. The repair, continuity, particle-balance and transient models describe constructed mechanisms. The hurricane comparison uses reported category counts; the delivery and allocation examples are exact illustrations with stated inputs.
Complete SILSO cycles 17–24 are split at the first day of each 13-month smoothed-maximum month. Exposure is the exact number of days in each phase, converted with 365.25 days per year. Counts use storm-onset dates and the same episode-merging rule in both phases. The pooled ratio is (182 / 53.921971 years) / (81 / 32.325804 years) = 1.347007.
The Kp ≥ 9− subset is selected from the severe-episode catalogue; it is not a new independent catalogue of isolated extreme days. Whole-cycle resampling preserves each selected cycle’s counts and durations. Twenty thousand bootstrap samples with seed 20261002 give the central 95% percentile ranges shown. There are only eight complete cycles, so this is a sensitivity summary rather than a calibrated future-event model. Consecutive-only, one-quiet-day and two-quiet-day episode definitions give severe-event rate ratios 1.365, 1.347 and 1.343 respectively. No Dst-based stratification is implied.
The GGFSS70 extrema are values reported in the paper, not a re-evaluation of its coefficient archive. Dipole-moment minima from GGF100k and LSMOD.2 use the evaluated model records. Differences are not interpreted as a statistical uncertainty band.
The radiation comparison transcribes all eight flight-dose totals from Larsen et al., Figures 7–8. The cutoff-area maximum belongs to 41,050 BP, whereas the route comparison uses 40,950 BP. Background units are μSv; the hypothetical 1956 event uses mSv. The model excludes external magnetospheric currents and holds its other stated scenario assumptions fixed. Arsenović et al.’s surface-UV and DNA-weighted changes are from the abstract’s no-field scenario, not the Larsen route model. Radiocarbon detection thresholds use a separate 2005-event reference.
Surface field and dipole. IGRF-14 Schmidt semi-normalized coefficients (degree 10 before 2000, 13 thereafter) are synthesized on a 0.5° grid on the 6,371.2 km reference sphere, with cosine-latitude area weights. The weakest point is refined by simplex minimization. The dipole moment is M = 4πa³B₀/μ₀ with B₀ = √(g₁₀² + g₁₁² + h₁₁²). The 2030 field adds five years of the model’s 2025–2030 secular variation. This synthesis reproduces the published four-epoch minima (25,462; 24,762; 23,372; 22,094 nT) and areas below 32,000 nT (8.89%; 11.33%; 17.19%; 21.10%) exactly, and the R₂/R₁ growth factors of 1.948 since 1945 and 2.745 since 1900.
Eccentric dipole and poles. The eccentric-dipole offset uses the standard degree-one and degree-two expression, giving 406.8 km in 1945 and 604.6 km at the 2025 IGRF epoch. The 1.75 km per year quoted for 1900–1950 is the least-squares slope through the eleven epochs; the endpoint difference gives 1.77. Dip poles minimize horizontal intensity on a 0.05° grid, refined by simplex; the 2025 north dip pole agrees with NOAA’s published position to within about 5 km once geocentric and geodetic latitude are distinguished. Pole speeds are great-circle distances between successive NOAA annual positions on the same sphere.
Paleomagnetic models. The earlier analysis used 50-year evaluations of the published models. The GGF100k series embedded in this reader has 200-year spacing and supplies the explicit input for the Holocene baseline comparison. The LSMOD.2 analysis evaluated cubic B-spline coefficients (403 splines, degree 10) at 50-year steps from 49.9 to 30.05 ka BP. Its surface statistics use a matching degree-10 truncation of IGRF. Rates depend on temporal regularization and do not have equal resolution across models. No fresh coefficient-ensemble run is represented by the new baseline analysis.92,51,52
Polarity timescale. Chron boundaries are the GTS2020 values as distributed with PmagPy. Reversal rates count boundaries in a sliding five-million-year window. Interval statistics use complete intervals; for 0–30 million years a maximum-likelihood gamma fit with zero location gives shape 1.46, but this descriptive fit does not establish memorylessness. A goodness-of-fit probability requires calibration for estimated parameters and a defensible stationary interval sample. Base-rate arithmetic uses P = 1 − exp(−λt) with λ = 4.8 per million years.
Storm cadence. GFZ definitive and provisional Kp to 1 October 2026. A severe day has maximum three-hour Kp ≥ 8− (7.667); severe days separated by at most one quiet day form one storm, the rule that reproduces the published 32% follow-on rate (32.4%) and equinoctial share (45.7%). Solar cycles start at SILSO 13-month smoothed minima (1933-09, 1944-02, 1954-04, 1964-10, 1976-03, 1986-09, 1996-08, 2008-12, 2019-12); maxima are the largest smoothed values within each cycle. Same-phase comparisons count each cycle’s first 6.83 years.
Climate series. HadCRUT5 annual anomalies are re-expressed relative to their own 1850–1900 mean (an offset of −0.357°C from the 1961–1990 baseline); trends are ordinary least squares without autocorrelation adjustment and are descriptive. CO₂ growth uses endpoint differences of Mauna Loa annual means.
Hurricane figure. The Helene and Ida curves are the vector coordinates of the previously published figure, mapped through its axis ticks. Integrating panel b reproduces the tabulated site-day totals to within 0.03 site-days per 100 sites, and panel a equals the ratio of the two panel-b series at every snapshot.
For dependent repair, the maximum throughput is c/[1 + √(b/K)]², reached at B = √(bK). When 0 < a < c/[1 + √(b/K)]², the two positive equilibria bound a low-backlog basin. Adding independent capacity e changes the equilibrium equation to:
For a, b, c, K > 0 and e > a, the leading coefficient is positive and the constant negative, so exactly one root is positive. Net arrival of work is positive below that root and negative above it, so every finite nonnegative backlog converges to it under constant conditions without further discrete shocks. In restoration records the feedback shows when repair work is counted per job, unfinished jobs stay in the record and crew arrivals are tracked separately.
With full service until autonomy A runs out and full restoration at T, D = (T − A)₊ = ∫ 1{A ≤ t < T} dt. At each time, the overlap of “backup exhausted” and “not restored” lies between max(FA − FT, 0) and min(FA, 1 − FT). Matching the same quantile attains the lower value at every t; matching opposite quantiles attains the upper. Integrating gives the bounds in the text, which require finite means. Weighted populations use matching weighted distributions; partial service, refuelling, recharge or backup failure use the time-dependent service deficit.
For the single-exhaustion model D = (T − A)₊, the event {T > A} lies within {A < d} ∪ {T > d} for every d. Otherwise A ≥ d and T ≤ d, so T ≤ A. The union bound gives Pr(D > 0) ≤ Pr(A < d) + Pr(T > d). No independence assumption is used. A guarantee of no more than ε uncovered sites follows when autonomy below the deadline affects at most α and restoration after it affects at most β, with α + β ≤ ε. A 2.5% lower-autonomy tail and a 2.5% upper-restoration tail imply 5%; 5% and 5% imply 10%. The marginal distributions must describe the same population, weights, hazard and operating regime, and sampling uncertainty must be added when tail rates are estimated.
Let E₀ be initial usable energy, p(t) the required delivered power and DE(t) cumulative admitted usable energy delivered by t. Energy conservation under uninterrupted operation gives E(t) = E₀ + DE(t) − ∫₀ᵗ p(u)du. Feasibility requires E(t) ≥ 0 at every time before restoration, along with storage, discharge-power, equipment and other service constraints. Deliveries that exceed available storage are not admitted energy. For E₀ = 24, p = 1, T = 48 and one 30-unit delivery, a delivery at hour 12 needs storage for at least 42 units and produces no gap; delivery at hour 30 produces a six-hour gap after exhaustion at hour 24, after which enough energy remains for the last 18 hours.
DIRS reports list cell sites served and sites off the air by carrier-reported cause: damage, transport and power. Helene also lists sites running on backup. Ida snapshots are at 11:00 EDT, 30 August–14 September 2021; Helene snapshots are at 09:00 EDT, 26 September–19 October 2024. Landfall reference times are 29 August 2021 at 16:55 UTC and 27 September 2024 at 03:10 UTC.79,80
The matched Helene window uses ten snapshots from 28 September to 7 October, spanning nine elapsed days, and fixed panels of 21 western North Carolina counties, 46 South Carolina counties and 30 Georgia counties. P(t) is the count off for power; B(t) is the count operating on backup. The power-observed count is G(t) = P(t) + B(t). Sites coded under damage or transport are excluded even if they also lack grid power. Trapezoidal integration gives Pd and Gd; the inputs (N, Pd, Gd) are (1,452; 2,366; 3,436), (7,458; 3,002; 6,984) and (1,450; 1,780; 4,838). The decomposition is an identity at the precision of those integrated inputs. It separates burden arithmetically, not causally.
Ida lacks backup counts. Its estimated exposure uses the parish customer-outage fraction from EAGLE-I at each report time, with the larger of modeled customers and event-peak customers as denominator, applied to site counts. A cross-check across 2,244 Helene county reports finds rank correlation 0.82 between the customer-outage fraction and P + B as a share of sites; at high outage fractions the customer proxy is larger. That is a sensitivity warning, not proof that every Ida estimate is a lower bound.81 The county rearrangement calculation selects counties with at least ten sites and half a power-exposure day per site; it is a separate selected population, not the three fixed panels, and does not identify an access effect. Site counts measure infrastructure, not customer connectivity.
Counts at successive times are stocks, not linked histories. Two sites can report one backup-operating and one power-off site at each of two snapshots either by staying in place or by exchanging states; only the second history contains a backup-to-power-off transition. For a fixed complete universe of N identified sites, with Bt backup-operating at t and Pt+1 power-off at t + 1, the number of endpoint transitions satisfies max(0, Bt + Pt+1 − N) ≤ nB→P ≤ min(Bt, Pt+1). These bounds do not locate the transition time or establish exhaustion as its cause. First-silence distributions require linkable site-level spells, start times, replenishments and competing failure causes.
Let wi be work required in region i and Cj the work pool j can complete before a common deadline. Under known demands, divisible work, compatible productivity units, unlimited edge capacity and no additional delay or precedence, a feasible allocation exists exactly when, for every subset S of destinations, Σi∈S wi ≤ Σj∈N(S) Cj, where N(S) contains the pools able to serve at least one destination in S. Necessity follows by summing resource limits; sufficiency follows from the minimum-cut condition of the source → pools → destinations → sink flow network. Finite route capacities require the full cut test; unequal deadlines and travel times require time-expanded capacity.
Use N(t) = 1 + 0.05 sin(ωt), ω = 2π/11 per year, and ν(t) = [1 + 0.2 cos(ωt)]/τ. Defining Q(t) = dN/dt + ν(t)N(t) gives exactly this N for τ = 1 and τ = 10 years, with Q and ν positive throughout. Relative to each case’s reference source 1/τ, Q spans about 0.768–1.236 and 0.513–1.489. A population cycle alone leaves τ undetermined.
For dx/dt = −x/2 + gy and dy/dt = −y/10, with x(0) = 0 and y(0) = 0.1, the eigenvalues stay at −0.5 and −0.1 per day for every g. The response is x(t) = 0.1g(e−t/10 − e−t/2)/0.4, peaking at about 4.02 days. Raising g from 0.5 to 2 per day lifts the peak from 0.0669 to 0.2675 and the integrated deficit from one to four deficit-days, in normalized units.
In an illustrative stationary model with independent Poisson event arrivals at rate λ and independent recovery durations τ, the number of unfinished recoveries has mean m = λE[τ] and a Poisson occupancy distribution; the probability of at least one active recovery is 1 − exp(−m). At m = 0.5 it is 39.3%. Raising both the arrival rate and mean recovery duration by 20% gives m = 0.72 and 51.3%: a 44% rise in the occupancy mean and about 12 percentage points in probability. The construction assumes recoveries proceed concurrently without resource competition; it is not a fit to the storm record.
The Holocene calculation uses the GGF100k display series at 200-year spacing, rounded to 0.001 × 10²² A m², over 0–11.7 thousand years before 1950. Time means integrate its piecewise-linear interpolant, including the final partial interval. The strongest 500-, 1,000- and 2,000-year means maximize the corresponding moving-window integral; interpolation locates its optimum but does not add temporal resolution. The present comparison is the 2025 IGRF total dipole, not a continuation of the paleomagnetic line through the instrumental period.51,1
Uncertainty in ages, calibration, data coverage and model regularization is not captured by the displayed precision. No new paleomagnetic coefficient archive or posterior ensemble was evaluated for these comparisons. The published 11.64 high-state input is displayed separately rather than treated as a GGF100k confidence limit. The 4 × 10²² A m² empirical threshold is compared with the axial IGRF moment, |g₁⁰|, rather than the total degree-one norm.93,94,118
The official 2025 degree-one coefficients are g₁⁰ = −29350.0, g₁¹ = −1410.3 and h₁¹ = 4545.5 nT. With reference radius a = 6371.2 km, M = (4π/μ₀)a³√[(g₁⁰)²+(g₁¹)²+(h₁¹)²], after converting nT to T, gives total M = 7.6897 × 10²² A m². Replacing the norm with |g₁⁰| gives axial M = 7.5905. These distinguish a source-level axial estimate from a total dipole representation.118
A prospective common-driver test should freeze the driver, target observable, phase/lag interval and event definition before evaluation. Chronology ensembles and alternative detrending must preserve the association. The test must distinguish solar modulation, geomagnetic access and archive transport; independent records should remain independent after their corrections. Non-events and recoveries count alongside transitions. Otherwise a fitted period or matched curve is an explanatory candidate rather than an operational warning.
A coupled hazard estimate additionally requires source intensity and duration, spatial transfer, response dynamics and exposure. Marginal extremes cannot simply be multiplied, and dependent magnetic metrics cannot be added as independent evidence. The influence map records qualitative support; it does not assign numerical probabilities, weights or a global tipping score.
Exact values accompany the narrative graphics. The baseline table uses 10²² A m²; percentage changes use the full-precision comparison values. The quantity register mixes observations, model inputs, modeled responses and qualifiers. Its 71 records are not 71 independent observations.
| Cycle | Before: episodes | After: episodes | Before: years | After: years | Before: /yr | After: /yr |
|---|---|---|---|---|---|---|
| 17 | 0 | 34 | 3.5811 | 6.8364 | 0.0000 | 4.9734 |
| 18 | 13 | 26 | 3.2444 | 6.9185 | 4.0070 | 3.7580 |
| 19 | 20 | 35 | 3.9151 | 6.5873 | 5.1084 | 5.3133 |
| 20 | 8 | 23 | 4.0849 | 7.3292 | 1.9584 | 3.1381 |
| 21 | 14 | 20 | 3.7509 | 6.7515 | 3.7325 | 2.9623 |
| 22 | 6 | 24 | 3.1677 | 6.7488 | 1.8941 | 3.5562 |
| 23 | 16 | 17 | 5.2512 | 7.0828 | 3.0469 | 2.4002 |
| 24 | 4 | 3 | 5.3306 | 5.6674 | 0.7504 | 0.5293 |
| Route | Background, modern | Background, Laschamps | 1956-like event, modern | 1956-like event, Laschamps |
|---|---|---|---|---|
| Helsinki–New York | 77.7 μSv | 75.6 μSv | 5.05 mSv | 1.66 mSv |
| Helsinki–Dubai | 40.0 μSv | 61.5 μSv | 0.13 mSv | 3.23 mSv |
Both modeled flights are at 40,000 ft (12.19 km), with fixed great-circle routes and specified departure/event timing. Solar modulation is held at 500 MV; external magnetospheric currents are omitted. The ancient comparison field is LSMOD.2 at 40,950 BP. It is not the epoch of maximum low-cutoff area.
| Reference definition | Reference moment | 2025 moment | Change (%) | Provenance / definition |
|---|---|---|---|---|
| 1900 IGRF-14 total dipole | 8.321 | 7.69 | -7.583223170292019 | IGRF coefficient-derived value |
| Holocene time mean, 0–11.7 ka BP | 8.09840811965812 | 7.69 | -5.043066657344031 | piecewise-linear mean of the GGF100k display series |
| Holocene sampled maximum, GGF100k | 9.824 | 7.69 | -21.722312703583057 | sampled maximum of the rounded 200-year display series |
| 100,000-year time mean, GGF100k | 6.826583 | 7.69 | 12.647864971391986 | piecewise-linear mean of the GGF100k display series |
| Published Holocene-high simulation reference | 11.64 | 7.69 | -33.93470790378007 | Ebihara et al. 2021 chosen model input, linked to Knudsen et al. 2008; NOT independent re-estimate of the Holocene maximum |
| Maximum 500-year mean, GGF100k | 9.735936176066023 | 7.69 | -21.01427268078825 | piecewise-linear moving-window analysis of the embedded display series |
| Maximum 1000-year mean, GGF100k | 9.602516883116886 | 7.69 | -19.916829164648142 | piecewise-linear moving-window analysis of the embedded display series |
| Maximum 2000-year mean, GGF100k | 9.416607256235828 | 7.69 | -18.335767960296323 | piecewise-linear moving-window analysis of the embedded display series |
| Source key | Quantity | Value | Unit | Scope | Evidence type | Locator |
|---|---|---|---|---|---|---|
| larsen2026 | GCR modern | 77.7 | μSv | Helsinki–New York; 40,000 ft; 2020 field; background galactic cosmic rays | published model result | Figure 7 (PDF p10) |
| larsen2026 | GCR Laschamps | 75.6 | μSv | Helsinki–New York; 40,000 ft; 40,950 BP LSMOD.2; background galactic cosmic rays | published model result | Figure 7 (PDF p10) |
| larsen2026 | GLE modern | 5.05 | mSv | Helsinki–New York; 40,000 ft; 2020 field; hypothetical 23 February 1956 GLE5 | published model result | Figure 7 (PDF p10) |
| larsen2026 | GLE Laschamps | 1.66 | mSv | Helsinki–New York; 40,000 ft; 40,950 BP LSMOD.2; hypothetical 23 February 1956 GLE5 | published model result | Figure 7 (PDF p10) |
| larsen2026 | GCR modern | 40 | μSv | Helsinki–Dubai; 40,000 ft; 2020 field; background galactic cosmic rays | published model result | Figure 8 (PDF p11) |
| larsen2026 | GCR Laschamps | 61.5 | μSv | Helsinki–Dubai; 40,000 ft; 40,950 BP LSMOD.2; background galactic cosmic rays | published model result | Figure 8 (PDF p11) |
| larsen2026 | GLE modern | 0.13 | mSv | Helsinki–Dubai; 40,000 ft; 2020 field; hypothetical 23 February 1956 GLE5 | published model result | Figure 8 (PDF p11) |
| larsen2026 | GLE Laschamps | 3.23 | mSv | Helsinki–Dubai; 40,000 ft; 40,950 BP LSMOD.2; hypothetical 23 February 1956 GLE5 | published model result | Figure 8 (PDF p11) |
| larsen2026 | Surface area with Rc below 1 GV | 13.6 | percent | 2020 magnetic field | published model result | Figure 5 (PDF p9) |
| larsen2026 | Maximum surface area with Rc below 1 GV | 48.3 | percent | 41,050 BP; not the 40,950 BP flight-comparison epoch | published model result | Figure 5 (PDF p9) |
| ggfss702021 | Dipole moment minimum | 0.12 | 10²² A m² | Laschamps; 40.97 ka BP | published model result | Section 4, global quantities |
| ggfss702021 | Dipole moment minimum | 1.87 | 10²² A m² | Norwegian–Greenland Sea excursion; 64.87 ka BP | published model result | Section 4, global quantities |
| ggfss702021 | Dipole moment minimum | 3.3 | 10²² A m² | Mono Lake/Auckland; 34.47 ka BP | published model result | Section 4, global quantities |
| ggfss702021 | Axial-dipole sign reversal duration | 300 | years (approximately) | 41.25–40.93 ka; published rounded duration | published model result | Section 4 |
| arsenovic2024 | UV-index increase | 20–25 | percent | Extreme solar-particle event with no geomagnetic field | published model result | Abstract |
| arsenovic2024 | Solar-induced DNA-damage-proxy increase | 40–50 | percent | Same no-field boundary case; modeled biological weighting, not measured disease | published model result | Abstract |
| arsenovic2024 | Elevated surface-UV persistence | up to 6 | years | Same no-field boundary case | published model result | Abstract |
| usoskin2026 | Reference event scale | 100 | × 20 January 2005 GLE69 | Hard-spectrum reference for the radiocarbon forward model, not flight dose | published model result | Model setup |
| usoskin2026 | Reference event F200 | 2780000000.0 | cm−2 | Integral proton fluence above 200 MeV of the reference event | published model result | Model setup |
| usoskin2026 | Small-event identification threshold | 0.5–0.7 | reference events | Depends on unknown solar-cycle background; not an instrument detection limit | published model result | Discussion/conclusions |
| owens2022 | GLE sample size | 67 | events | Instrumental record analyzed by paper | published observational sample | Abstract |
| owens2022 | Maximum-to-minimum GLE occurrence contrast | 4 | ratio (approximately) | Solar-maximum versus solar-minimum phase | published model result | Abstract |
| vasilyev2024 | Superflares | 2889 | events | Selected Kepler stellar population; >10³⁴ erg | published observational sample | Abstract |
| vasilyev2024 | Flaring Sun-like stars | 2527 | stars | Selected Kepler stellar population; >10³⁴ erg | published observational sample | Abstract |
| vasilyev2024 | Sun-like star sample | 56450 | stars | Selected Kepler stellar population; >10³⁴ erg | published observational sample | Abstract |
| vasilyev2024 | Superflare recurrence | 100 | years (approximately) | Population inference for selected Sun-like stars; not a terrestrial storm probability | published model result | Abstract |
| polarmotion2024 | Surface-mass attribution | 90 | percent (approximately) | Interannual/multidecadal rotational polar motion; model attribution | published model result | Abstract |
| cazenave2025 | Subdecadal LOD amplitude | 0.1 | ms (approximately) | ~6-year band; varies through the record | published model result | Section 2.1 |
| madsen2026 | Core-flow observing window | 1997–2025 | CE | Magnetic secular-variation inversion | published model result | Abstract |
| madsen2026 | Equatorial-Pacific flow transition | 2010 | CE | Weakly westward to strongly eastward in reconstructed flow | published model result | Abstract |
| madsen2026 | Eastward flow weakening begins | 2020 | CE (approximately) | Same regional core-flow reconstruction | published model result | Abstract |
| knudsen2008 | Proposed empirical excursion/reversal dipole level | 4 | 10^22 A m^2 | Axial reconstruction; not calibrated modern onset warning | published empirical suggestion | Primary institutional abstract |
| ebihara2021 | Run 1 dipole input | 7.76 | 10^22 A m^2 | Run 1; ionospheric conductivity standard; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model input | Table 1 |
| ebihara2021 | Run 1 minimum SML | -579 | nT | Run 1; ionospheric conductivity standard; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 1 incident magnetic energy rate | 118 | 10^10 W | Run 1; ionospheric conductivity standard; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 2 dipole input | 11.64 | 10^22 A m^2 | Run 2; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model input | Table 1 |
| ebihara2021 | Run 2 minimum SML | -513 | nT | Run 2; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 2 incident magnetic energy rate | 137 | 10^10 W | Run 2; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 3 dipole input | 5.17 | 10^22 A m^2 | Run 3; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model input | Table 1 |
| ebihara2021 | Run 3 minimum SML | -717 | nT | Run 3; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 3 incident magnetic energy rate | 96 | 10^10 W | Run 3; ionospheric conductivity M-dependent scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 4 dipole input | 11.64 | 10^22 A m^2 | Run 4; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model input | Table 1 |
| ebihara2021 | Run 4 minimum SML | -714 | nT | Run 4; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 4 incident magnetic energy rate | 136 | 10^10 W | Run 4; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 5 dipole input | 5.17 | 10^22 A m^2 | Run 5; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model input | Table 1 |
| ebihara2021 | Run 5 minimum SML | -462 | nT | Run 5; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| ebihara2021 | Run 5 incident magnetic energy rate | 96 | 10^10 W | Run 5; ionospheric conductivity not M-scaled; idealized global dipole; fixed prescribed solar wind; no quadrupole | published model result | Table 2 |
| opher2024 | Cold-cloud neutral hydrogen density | 3000 | cm^-3 | Specified proposed encounter 2–3 Myr ago, not current local warm medium | published model input | Methods |
| opher2024 | Cold-cloud temperature | 20 | K | Specified cold-cloud encounter | published model input | Methods |
| opher2024 | Relative cold-cloud velocity | 14.1 | km/s | Specified encounter geometry | published model input | Methods |
| opher2024 | Upwind heliopause distance | 0.22 | AU | Reported ±0.01 AU; conditional compression, not observed current boundary | published model result | Main text |
| opher2024 | Heliopause reported spread | 0.01 | AU | Use only with 0.22 AU result; not a modern forecast interval | published result qualifier | Main text |
| opherHEP2026 | Sub-10-MeV HEP enhancement | at least 10 | ratio | Relative to extreme present SEP events; external to magnetosphere; not dose | published model result bound | Primary abstract |
| opherHEP2026 | Sub-GeV GCR enhancement | at least 10 | ratio | Outside compressed heliosphere; external particle spectrum; not surface dose | published model result bound | Primary abstract |
| nica2026 | Global 10Be production enhancement, 0.2-AU case | 9 | approximate ratio | Fixed modern dipole; selected HEP+GCR model; archive mixing not calculated; preprint | preprint model result | v3 results |
| nica2026 | Global 10Be production enhancement, 0.7-AU case | 3 | approximate ratio | Fixed modern dipole; selected HEP+GCR model; archive mixing not calculated; preprint | preprint model result | v3 results |
| kollIce2026 | Ice mass analyzed | 295 | kg | EDML ice 40–81 kyr ago | published sample quantity | Abstract |
| kollIce2026 | Ice interval young boundary | 40 | kyr ago | EDML sampled interval | published interval boundary | Abstract |
| kollIce2026 | Ice interval old boundary | 81 | kyr ago | EDML sampled interval | published interval boundary | Abstract |
| kollIce2026 | Interstellar 60Fe deposition central estimate | 0.22 | atoms cm^-2 yr^-1 | 40–81 kyr ice; uncertainty +0.14/-0.12; not radiation flux | published inferred measurement | Abstract |
| kollIce2026 | 60Fe deposition upper uncertainty | 0.14 | atoms cm^-2 yr^-1 | Positive reported uncertainty around 0.22 | published measurement qualifier | Abstract |
| kollIce2026 | 60Fe deposition lower uncertainty | 0.12 | atoms cm^-2 yr^-1 | Negative reported uncertainty around 0.22 | published measurement qualifier | Abstract |
| kollIce2026 | Local warm-cloud density range | 0.1–0.2 | cm^-3 | Introductory description of nearby warm cloudlets, not dense-cloud scenario | published environmental range | Author full-text introduction |
| kollIce2026 | Local warm-cloud temperature range | 5000–10000 | K | Introductory warm-cloud description | published environmental range | Author full-text introduction |
| kollIce2026 | Discussed local-cloud exit timescale | 2000–6000 | yr | Model-dependent prospective LIC exit within the next 2000–6000 years; not an imminent cold-cloud arrival | published interpretation range | Author full-text introduction |
| beer2025 | EDML chronology duration | 145000 | yr | Record used for reported Bayesian spectral analysis | published record scope | Primary institutional extended abstract |
| beer2025 | 10Be classified periodicities | 20 | count | Four production-only, thirteen mixed, three system-only; all periods in separate CSV | published analysis count | Primary institutional extended abstract |
| golubenko2025 | Solar-event strength relative excess over AD 775 | 18 | % | 12350 BC event; model-estimated strength, not raw isotope-amplitude ratio | published model inference | Abstract |
| golubenko2025 | Reported uncertainty on relative excess | 11 | percentage points | 18 ±11%; preserve paper definition rather than infer a forecast interval | published inference qualifier | Abstract |
| silsoPeak2026 | Cycle 25 smoothed sunspot maximum | 161 | sunspot number | October 2024; official retrospective maximum | published operational statistic | Official article |
| grb2023 | GRB atmospheric perturbation event date | 2022-10-09 | ISO date | GRB 221009A; upper ionosphere, not core-field reversal | published event date | Main text |
The assessment date is 2 October 2026; each record retains its own measurement period. Display-series arithmetic is not a new paleomagnetic ensemble, and neither the mechanism atlas nor the influence register is a weighted global risk score. The original coefficient archives and linked site-level outage histories are not embedded. References distinguish papers, data products, official assessments, preprints and this assessment’s calculations.
119 reference entries: research papers, official assessments, datasets, preprints and analytical provenance—not 119 independent studies.
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