COSMIC CYCLES REFERENCE
The Cosmic Cycles tool is a mathematical visualization and educational tool. It is not a scientific forecasting engine.
It has two modes. Cosmic (the default) overlays 22 periodic signals and 164 historical events across 60,000 years; that is what most of this reference covers. Atomic applies the same idea - searching for recurring structure - to matter instead of time: the chart of nuclides, the 17 Standard Model fields, the periodic table, and a particle-building sandbox. See Historical Events and Atomic Mode below.
The convergence score shows where multiple cycle positive phases overlap. This is a defined mathematical metric - not a validated predictor of real-world events. The chart superimposes 22 periodic signals from unrelated physical systems onto a common timeline. The resulting pattern is interesting to explore, but it does not constitute a forecast or discovery.
Key limitations:
- Most cycles are modeled as sinusoids for simplicity. Several (Schwabe, ENSO, Bond events) are quasi-periodic or chaotic in reality.
- The tool is most accurate near the present (2000 CE). Short-period cycles lose validity within decades; long-period Milankovitch cycles are valid over millions of years.
- The overlapping pattern of 22 cycles does NOT reveal hidden predictions. Volcanic eruptions, wars, and climate catastrophes are not caused by cycle convergence.
LUNAR CYCLES
Lunar Perigee Precession (8.85 yr)
In plain terms: the Moon's closest point to Earth drifts all the way around its orbit every 8.85 years, so the strongest "supermoon" tides come and go on that beat.
The Moon's orbit is an ellipse, and the point of closest approach (perigee) slowly rotates around Earth. One full rotation of the perigee takes 8.85 years. This modulates the strength of perigean spring tides.
Saros Eclipse Repeat (18.03 yr)
In plain terms: nearly identical eclipses come back about every 18 years, each one shifted to a different part of the world.
The Saros is a discrete recurrence, not a continuous oscillation. The sinusoidal model used in the tool is a simplification. Each Saros series produces an eclipse every 18.03 years, shifting roughly 120 degrees in longitude. The cycle arises from the near-coincidence of 223 synodic months, 242 draconic months, and 239 anomalistic months.
Lunar Nodal Precession (18.61 yr)
In plain terms: the tilt of the Moon's path slowly swivels over 18.6 years, raising and lowering how high the Moon rides and how strong the tides get.
The plane of the Moon's orbit is tilted about 5 degrees to the ecliptic. The line where these planes intersect (the nodes) rotates retrograde with a period of 18.61 years. At major lunar standstill, the Moon reaches its maximum declination; at minor standstill, the minimum. This modulates tidal amplitudes globally.
Metonic Cycle (19.00 yr)
In plain terms: every 19 years the Moon's phases line back up with the same calendar dates - which is why ancient calendars were built around it.
This is a resonance condition, not a physical oscillation. Nothing sinusoidally varies with a 19-year period. The Metonic cycle describes the fact that 235 synodic months (new moon to new moon) is almost exactly 19 tropical years, so lunar phases repeat on approximately the same calendar dates. It has been used for calendar construction since Meton of Athens proposed it in 432 BCE.
SOLAR CYCLES
Schwabe Sunspot Cycle (11.0 yr)
In plain terms: sunspots and solar storms build up and die down about every 11 years, though no two cycles are quite the same.
The sunspot number curve is asymmetric: fast rise (~4 years), slow decline (~7 years). A sinusoid is a rough approximation that accumulates phase error within 2-3 cycles. Grand minima (Maunder 1645-1715, Dalton 1790-1830) are NOT predictable from this model. They arise from nonlinear dynamo processes in the solar interior.
Hale Magnetic Cycle (22.0 yr)
In plain terms: the Sun flips its magnetic north and south each sunspot cycle, so a full magnetic round-trip takes about 22 years.
The Sun's magnetic field reverses polarity roughly every 11 years, so a full magnetic cycle takes about 22 years. The same quasi-periodic caveats as the Schwabe cycle apply. Named after George Ellery Hale, who discovered the magnetic nature of sunspots in 1908.
Gleissberg Cycle (88 yr)
In plain terms: the 11-year sunspot cycle itself grows stronger and weaker over roughly a century.
The Gleissberg cycle describes how the amplitude of successive Schwabe cycles waxes and wanes over roughly a century. Physically, this should be a multiplicative envelope (modulating Schwabe amplitude), but the tool models it as an additive sinusoid for simplicity.
de Vries / Suess Cycle (210 yr)
In plain terms: a slower, roughly 210-year swing in the Sun's activity, read from chemical traces left in tree rings and ice.
Detected in cosmogenic isotope records (14C, 10Be). One of the more well-established long-period solar signals, but still quasi-periodic. First identified by de Vries (1958) and Suess (1980).
Eddy Cycle (1000 yr)
In plain terms: a possible ~1,000-year ebb and flow in the Sun's activity - real-looking in the records, but not yet well pinned down.
Named after Jack Eddy, who studied the Maunder Minimum and established that solar variability is real. A ~1000-year periodicity appears in cosmogenic isotope records, but it is less well-established than the Gleissberg or de Vries cycles. Some researchers consider this part of a broader spectral feature rather than a distinct cycle.
Hallstatt Cycle (2300 yr)
In plain terms: an even slower, roughly 2,300-year solar rhythm seen faintly in thousands of years of tree-ring and ice records.
Detected in 14C records. Only 4-5 complete cycles fit within the Holocene proxy record, so the period is poorly constrained. First identified by Damon and Sonett (1991). Named after the Hallstatt culture period, which happens to fall near one of the apparent cycle boundaries.
PLANETARY CYCLES
Jupiter-Saturn Conjunction (19.86 yr)
In plain terms: the two biggest planets appear to meet in the sky about every 20 years - a striking sight, but with no real effect on Earth.
These "great conjunctions" have been tracked since antiquity. Jupiter and Saturn appear close together in the sky roughly every 20 years. While the orbital mechanics are precise, the physical influence on Earth is negligible.
Jupiter-Saturn-Neptune / Jose Cycle (178.7 yr)
In plain terms: the giant planets nudge the Sun around the solar system's shared center of gravity on a ~179-year cycle; claims that this steers the Sun or the weather are not accepted.
The Sun orbits the solar system's center of mass with a ~178.7-year modulation driven primarily by Jupiter, Saturn, and Neptune. The claimed link to solar activity (Charvatova/Jose hypothesis) is not accepted by mainstream solar physics. The Sun's convective zone is too massive for planetary tidal effects to modulate the dynamo.
Jupiter-Saturn Triangle (59.58 yr)
In plain terms: three of those 20-year meetings trace out a slowly turning triangle across the sky over about 60 years.
Three consecutive great conjunctions rotate through approximately 120 degrees of ecliptic longitude, forming a triangle pattern. The full triangle takes about 60 years to complete. This is a geometric consequence of the synodic cycle, not an independent phenomenon.
CLIMATE CYCLES
Bond / Dansgaard-Oeschger Events (1470 yr)
In plain terms: the North Atlantic has lurched between warm and cold spells roughly every 1,500 years - though whether that is a real clock or just chance spacing is debated.
A ~1470-year periodicity found in North Atlantic ice-rafted debris (Bond et al. 1997) and Greenland ice cores. Ditlevsen et al. (2007) argued the spacing is consistent with a stochastic process. The mechanism is unknown. These are abrupt climate shifts (rapid warming, gradual cooling), NOT smooth oscillations. The sinusoidal model is a very rough approximation.
ENSO Envelope (5.0 yr)
In plain terms: El Nino and La Nina shift weather around the globe every few years, but never on a schedule you can set a clock by.
ENSO is driven by ocean-atmosphere coupling in the tropical Pacific and is fundamentally unpredictable beyond roughly 1-2 years. The 5-year sinusoid used in the tool is a rough center-of-spectrum approximation. Real ENSO events are irregular in timing, amplitude, and character (El Nino vs La Nina are not symmetric).
Pacific Decadal Oscillation (25 yr)
In plain terms: the North Pacific Ocean drifts between warm and cool patterns over a couple of decades, nudging things like salmon runs and droughts.
A recognized climate mode first described by Mantua et al. (1997). Decadal-scale shifts in North Pacific SST patterns. Some researchers question whether it is a true oscillation or low-frequency variability. The 25-year period is a representative midpoint of the 20-30 year range.
Atlantic Multidecadal Oscillation (70 yr)
In plain terms: the North Atlantic does much the same over roughly 60-80 years, nudging Atlantic hurricanes and European weather.
Detected in SST records by Schlesinger and Ramankutty (1994). A 60-80 year oscillation correlating with European climate and Atlantic hurricane activity. Mann et al. (2020) questioned whether the AMO is a true internal oscillation or a response to external forcing.
EARTH CYCLES
Chandler Wobble (1.186 yr)
In plain terms: the Earth wobbles on its axis like a slightly off-balance top, a tiny sway about every 14 months that even fades away for years at a time.
Discovered by Seth Carlo Chandler in 1891. The wobble is stochastically excited by atmospheric and oceanic processes, and its amplitude varies unpredictably. A fixed-amplitude sinusoid cannot represent this behavior. The wobble was nearly undetectable around 2005-2006.
Axial Precession (25,772 yr)
In plain terms: the Earth's axis slowly traces a giant circle over about 26,000 years, so the "North Star" changes across the ages.
This is the "pole star drift" - Polaris will not always be the North Star. Earth's rotation axis traces a cone with a period of about 25,772 years. For climate forcing, what matters is "climatic precession" (~21,000 yr), which combines axial precession with orbital apsidal precession.
Climatic Precession (21,000 yr)
In plain terms: that same slow wobble decides whether Earth is closest to the Sun in summer or in winter - a key pacemaker of the ice ages - on a roughly 21,000-year beat.
The actual Milankovitch precession forcing that appears in paleoclimate spectra. Climatic precession combines the ~25,772-year axial precession with the apsidal precession of Earth's orbit to produce dominant periods near 19 and 23 kyr. The tool uses 21 kyr as a representative single period. This is arguably more climatically relevant than axial precession alone (Hays, Imbrie, Shackleton 1976).
Obliquity Cycle (41,000 yr)
In plain terms: the Earth's tilt nods between 22.1 and 24.5 degrees over 41,000 years, making the seasons milder or harsher.
A well-established Milankovitch parameter described by Berger (1978). The tilt of Earth's axis oscillates between 22.1 and 24.5 degrees. Higher obliquity means more extreme seasons in both hemispheres. The current tilt is about 23.44 degrees and decreasing.
Eccentricity Cycle (100,000 yr)
In plain terms: Earth's orbit stretches from more round to more oval and back over about 100,000 years - the slowest of the big ice-age drivers.
The dominant "pacemaker" of Pleistocene glacial cycles. Earth's orbital eccentricity has multiple spectral components; the tool models only the ~100 kyr term. The "100 kyr problem" - why glacial cycles lock to the weakest Milankovitch forcing term - remains one of the major unresolved questions in paleoclimatology.
VALIDITY RANGE
Not all cycles in the tool maintain accuracy over the same timescales. The sinusoidal model diverges from reality at different rates depending on the underlying physics.
CONVERGENCE SCORE
The convergence score at any point in time is the sum of all positive-phase cycle values, weighted by the selected mode. When multiple cycles happen to be in their positive phase simultaneously, the score is high. When few are positive, the score is low.
This shows mathematical overlap, NOT physical conjunction or prediction. Superposing unrelated physical phenomena (polar wobble + orbital eccentricity + sunspot number + ENSO) has no established scientific predictive value. The cycles operate through completely different physical mechanisms at completely different scales.
Historical events overlaid on the chart are provided for context and interest. They do not imply that cycle convergence caused those events. Correlation in a chart is not causation - especially when 22 overlapping signals virtually guarantee that some cycles will be in positive phase during any historical event.
HISTORICAL EVENTS
The timeline overlays 164 historical events across its full 60,000-year span (30000 BCE - 30000 CE). Each carries a one-word subtype and a 1-2 sentence note, and belongs to one of four categories you can toggle independently from the Events control bar (or hide entirely).
Dates before about 2000 BCE come from natural records - layers in ice cores, tree rings, and ash from ancient eruptions - and carry real uncertainty; the labels note the method where it matters. The few events past the present are pure orbital math (when sunlight peaks at far northern latitudes, which star becomes the next pole star); nothing about the future is on record anywhere, because it has not happened yet.
These events are context, not evidence. An event sitting near a convergence peak is coincidence: with 22 overlapping signals, some cycle is in positive phase during virtually any year. Nothing in the cycle model caused any listed event. See Convergence Score.
WEIGHT MODES
The tool provides four weighting modes that change how each cycle contributes to the convergence score.
ATOMIC MODE - THE MATTER AXIS
The tool's second mode hunts for the same kind of repeating structure in matter that the cosmic side finds in time. Instead of scanning across years, it scans across the building blocks of atoms - how many protons and neutrons sit in a nucleus, and how many electrons surround it. It starts from the 17 most basic particles we know of, climbs up to atomic nuclei, and ends at the chemical elements, with each layer built out of the one below.
Honest scope: almost everything you see in Atomic mode is calculated, not measured. The nuclear pictures come from one classic formula that treats a nucleus like a wobbling drop of liquid (the semi-empirical mass formula), plus a small, deliberately simple stand-in for the quantum "shells" that protons and neutrons fill. Real measurements are used only to tune that formula - its handful of constants and a short list of known decay rates. So treat the heavy, never-yet-made nuclei as the model's best guess, not as fact.
17 Fields
Build a Nucleus
Add or take away protons and neutrons and watch everything update at once: which element it is, a ring diagram of its electrons, whether it would hold together, and the quark-and-electron "recipe" that makes it. Add a neutron to lead, or keep adding until the nucleus can no longer hold together - it is the fastest way to get a feel for which combinations survive and which fall apart.
Particle Forge
Build a particle out of quarks and antiquarks. The same rules nature uses decide whether your combination is allowed: the electric charges have to add up correctly, and the quarks have to combine into complete, color-balanced groups - a lone quark or a half-finished set is not allowed. If it works, the tool names it from the real particle zoo (proton, neutron, pion, kaon, and friends) and drops it onto the Eightfold Way - a triangular map physicists use to sort these particles by their properties. Particles with names show their true measured mass; a valid but unnamed combination shows a rough estimate, clearly marked as a guess. The lesson: a proton is just one recipe (two up quarks and a down), not a building block of its own.
Island of Stability (Chart of Nuclides)
Every possible nucleus, from hydrogen on up, is a square in a grid. The color shows how it would fall apart, and the brightness shows how long it would last. The bright diagonal stripe is the "valley of stability" - the combinations that hold together. The dark zone past the heavy elements is the "sea of instability," and the bright patch beyond it is the predicted "island of stability," where a special neutron count (184) might let some super-heavy nuclei survive far longer than their neighbors.
Binding Curve
How tightly each particle in a nucleus is held, plotted against how big the nucleus is. The peak sits at iron (about 56 particles): lighter nuclei release energy when they fuse together, heavier ones release energy when they split apart, and iron is the most tightly bound of all. It is why stars run out of fuel at iron, and why both fusion and fission can power a reactor.
Periodic Table
The familiar table, but the layout is worked out in code from the rule for the order electrons fill their shells - not copied from a picture. Color it by the usual chemical families, or by where in the universe each element is made (the Big Bang, ordinary stars, exploding stars, colliding neutron stars, or a laboratory). It even predicts that the not-yet-common element 119 would land in hydrogen's column - the same "this pattern repeats" idea the cosmic side uses, now in chemistry.
Universe Lab
Turn the dials on the five numbers inside that nuclear formula - in effect, the "constants of nature" for a made-up universe - plus a pressure knob (the crushing gravity inside a dying star). The whole chart of possible nuclei regrows into the matter of a universe that may never have existed. Everything here is hypothetical; "reset" brings you back to ours.
For the underlying physics, the in-tool "Learn more" links point to the Particle Data Group, the IAEA Live Chart of Nuclides, and the free Feynman Lectures.