Fundamental Cycles

The Holistic model has two nested timescales above the year:

• Earth Fundamental Cycle (H = 335,317 years) — Earth’s master cycle, from which all of Earth’s precession sub-periods derive.
• Solar System Resonance Cycle (8H = 2,682,536 years) — the period in which every planet’s cycles return to their starting configuration simultaneously.

This page describes both, shows how they relate, and explains why Earth’s Fundamental Cycle is uniquely shorter than every other planet’s.

The Earth Fundamental Cycle

H = 335,317 years is the smallest period in which all of Earth’s precession sub-periods complete a whole number of cycles:

Empirically, H = 13 × Earth’s mean axial precession period: ~25,794 × 13 ≈ 335,317. Why the integer multiplier is exactly 13 — and why Earth’s axial precession lands at this specific value — is the deepest open question about Earth’s role in the model. See Why Earth Is Unique.

The Solar System Resonance Cycle

8H = 2,682,536 years is the smallest period in which every planet’s six principal long-period cycles (axial precession, ecliptic perihelion, ICRF perihelion / inclination cycle, ascending node, obliquity, eccentricity cycle) all complete a whole number of cycles. Across all 8 planets, every cycle is an integer divisor of 8H.

For Earth, the ascending-node period (8H/40) coincides with the ecliptic precession period, and the eccentricity-cycle period (8H/128) coincides with the perihelion-precession period — both Earth-specific degeneracies. For other planets these cycles are distinct.

The full 8 × 6 period table

Every long-period planetary cycle divides 8H by an integer — the complete table (8 planets × 6 cycle types, expressed as 8H/N fractions):

Sign convention: + prograde, − retrograde, ~∞ effectively frozen. Obliquity and eccentricity cycles are oscillation periods (no direction, shown unsigned).

The same values in years (8H = 2,682,536 yr):

Special-case notes:

• Uranus and Neptune axial precession periods are extremely long (~200 Myr and ~23 Myr) — effectively frozen on solar-system-cycle timescales.
• Venus and Neptune obliquity cycle = |ICRF period| (Venus 8H/110, Neptune 8H/100): the two-component obliquity formula cancels exactly, producing constant obliquity.
• Mercury’s axial precession period equals its ascending-node period (Cassini-state lock, confirmed by MESSENGER spacecraft data).
• Earth’s eccentricity cycle = perihelion precession period (both H/16): the wobble-period beat between axial and ICRF perihelion precession collapses to the perihelion cycle for Earth.
• Earth is the sole prograde ICRF perihelion in the eight; Venus is the sole prograde axial (its 177° obliquity flips the cos sign — Cottereau & Souchay 2009).

This 8 × 6 table is the model’s complete 8H lattice — the reference any direct planet-cycle cross-match should use.

System Reset

The System Reset is the epoch within each Solar System Resonance Cycle when all eight planets simultaneously reach their inclination extremes — the seven in-phase planets at minimum inclination, Saturn (anti-phase) at maximum. The current System Reset is at 2,649,854 BC (balanced-year anchor n = 7, the start of the current resonance cycle).

At intermediate balanced years (n = 0 through n = 6, spaced one Earth Fundamental Cycle apart), only a subset of planets are at their extremes — the others have drifted because their ICRF periods don’t all divide H evenly. The System Reset is the only moment when the entire system is synchronised.

For an interactive visualisation of all six cycle types per planet as 8H/N fractions, see the Solar System Resonance Cycle panel in the 3D simulation.

Each planet has its own Fundamental Cycle

A natural question: if H is Earth’s Fundamental Cycle, what’s the equivalent for each of the other planets? For each planet the Fundamental Cycle is the least common multiple (LCM) of its principal precession periods (ecliptic perihelion, ICRF perihelion, ascending-node). Computing it across all 8 planets reveals a striking structure:

Two natural tiers

What this reveals

1. Earth is genuinely unique. It’s the only planet in the 1× tier — its precession sub-periods share enough common structure (GCD(128, 24, 40) = 8) to produce a Fundamental Cycle equal to H itself, smaller than every other planet’s. Anchoring the model on H is therefore not arbitrary — H is the unique scale at which Earth’s sub-periods are simultaneously integer-divided.
2. Jupiter and Saturn are node-locked despite separate Fundamental Cycles. Both share asc-node period 8H/36 (74,515 yr) — the same period to the year. Their individual Fundamental Cycles are 8H because their 8H-lattice secular perihelion ICRF periods (8H/65 Jupiter, 8H/169 Saturn) introduce factor-of-13 prime denominators that don’t share common factors with the 8H/36 ascending node. The Jupiter–Saturn–Earth Law 6 coupling still holds — on the 8H lattice Jupiter ICRF = Saturn ecliptic = 8H/65 (Earth’s obliquity beat) — but their individual Fundamental Cycle does not reduce below 8H.
3. Every other planet has no internal sub-resonance. Their Fundamental Cycle equals the full Solar System Resonance Cycle (8H). They only return to start when the entire system does.
4. The hierarchy is internally consistent. The Solar System Resonance Cycle is the LCM of all eight planetary Fundamental Cycles.

How the two cycles relate

The smaller scale answers “what’s the master cycle from which Earth’s precessions derive?” The larger scale answers “when do all planets simultaneously reset?”

Open questions

• Why does Earth alone have a 1× tier? The model observes it; KAM theory provides plausibility for Fibonacci-rich configurations, but the uniqueness of Earth’s tier remains an empirical finding rather than a derived prediction.
• Are longer super-cycles structurally meaningful? Beyond 8H, do periods like 64H have observable consequences? Direct verification at those scales is even harder than for 8H itself.
• Does the three-tier structure generalise to exoplanetary systems? TRAPPIST-1 shows Fibonacci-fraction period ratios consistent with the model’s framework; whether other systems show the same Earth-like 1× tier remains open.

These cycles are best treated as the most probable structural framework consistent with the observed data, not as proven multi-million-year truths. Supporting Evidence discusses what evidence does and does not support each level.

See also

• Precession — Earth’s precession sub-periods (axial, inclination, perihelion) derived from H
• Fibonacci Laws — the formal framework that produces the H/n divisor structure
• Why Earth Is Unique — additional ways Earth differs from other planets
• Configuration: Why 1246 AD? — observational anchoring of H