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πŸ“„ Fibonacci Laws β€” Read the paper
3D SimulationConfiguration

Configuration

The active configuration is based on the perihelion alignment year of 1246 AD β€” the last time the December solstice aligned with Earth’s perihelion.


Key Parameters

ParameterValue
Perihelion Alignment Year1246 AD
Earth Fundamental Cycle335,317 years
Axial Precession~25,794 years (mean)
Inclination Precession~111,772 years
Perihelion Precession~20,957 years
Obliquity Cycle~41,915 years

Simulation Input Constants

The 3D software simulation uses these exact input constants. All other values in the model are derived from these inputs β€” nothing is hardcoded except these foundational parameters. These form the model’s 6 free parameters β€” all governing the Earth simulation; the planet configuration below adds no additional degrees of freedom (a unique mirror-symmetric solution emerges from the exhaustive search).

How it works: The simulation calculates everything from these constants. Change any input value and all derived values (day lengths, year lengths, precession rates, orbital positions) automatically update. This ensures internal consistency - the model cannot contradict itself.

View in the simulation: Open the About folder in the Tweakpane panel to see the Six Laws, all 6 Free Parameters, the 20 Calibration Inputs, and the full list of 125 Model Parameters β€” all with their live values.

For detailed explanations of what each parameter represents and how it’s used, see the Technical Guide: Input Parameter Reference.

Core Cycle Parameters

ConstantValueDescription
holisticyearLength335,317Length of Earth Fundamental Cycle in years
perihelionalignmentYear1246Last year longitude of perihelion aligned with solstice (J. Meeus)
perihelionalignmentJD2,176,152Same alignment date in Julian Day format
temperatureGraphMostLikely14.5Position in obliquity cycle (0-16 scale, determines Balanced Year)

Year & Day Length Parameters

ConstantValueDescription
inputmeanlengthsolaryearindays365.2422Reference solar year length in days (input)
meansiderealyearlengthinSeconds31,558,149.76Sidereal year in seconds (fixed anchor)
TROPICAL_YEAR_HARMONICS12 termsFourier harmonics for tropical year
SIDEREAL_YEAR_HARMONICS5 termsFourier harmonics for sidereal year
ANOMALISTIC_YEAR_HARMONICS8 termsFourier harmonics for anomalistic year

Model Start Position

ConstantValueDescription
startmodelJD2,451,716.5Model start date in Julian Day (June 21, 2000 00:00 UTC)
startmodelYear2000.5Model start year (mid-2000)
whichSolsticeOrEquinox1Start alignment: 0=March, 1=June, 2=Sept, 3=Dec
startAngleModel89.91949879Β°Earth’s orbital angle at start (just before 90Β° solstice)
correctionDays-0.8288Fine-tuning for exact solstice alignment
correctionSun0.49551Β°Correction because start is 00:00 UTC, not 01:47 UTC solstice

Obliquity (Axial Tilt) Parameters

ConstantValueDescription
earthtiltMean23.41354Β°Mean obliquity (optimized for IAU 2006)
earthInvPlaneInclinationAmplitude0.63603Β°Amplitude of obliquity oscillation
earthInvPlaneInclinationMean1.48113Β°Mean inclination to invariable plane
earthRAAngle~1.255Β°Right ascension correction (derived from cycle position)

Eccentricity Parameters

ConstantValueDescription
eccentricityBase0.015386Base eccentricity (arithmetic midpoint of cycle)
eccentricityAmplitude0.001356Amplitude of eccentricity oscillation

Physical Constants

ConstantValueDescription
currentAUDistance149,597,870.698828 km1 Astronomical Unit
speedOfLight299,792.458 km/sSpeed of light
deltaTStart63.63 sDelta-T correction at model start

Planet Configuration

The Fibonacci Laws assign three quantities to each planet: an oscillation period (an integer divisor of the Solar System Resonance Cycle 8H, with Earth’s periods specifically at H/Fibonacci per Law 1), a quantum number d (determining amplitude via amplitude = ψ / (d Γ— √m)), and a balance group (in-phase or anti-phase). The periods and balance groups are observationally constrained; the d-assignment is uniquely determined by the mirror-symmetry constraint and so adds no additional degree of freedom.

PlanetEcliptic PeriodFormuladFibonacciGroupMirror pair
Mercury243,867HΓ—(8/11)21Fβ‚ˆIn-phase↔ Uranus
Venus447,089βˆ’8H/6 (ecliptic-retrograde)34F₉In-phase↔ Neptune
Earth~20,957H/163Fβ‚„In-phase↔ Saturn
Mars76,644HΓ—(8/35)5Fβ‚…In-phase↔ Jupiter
Jupiter67,063H/55Fβ‚…In-phase↔ Mars
Saturn41,915βˆ’H/8 (ecliptic-retrograde)3Fβ‚„Anti-phase↔ Earth
Uranus111,772H/321Fβ‚ˆIn-phase↔ Mercury
Neptune670,6342H34F₉In-phase↔ Venus

Config #11 is the unique mirror-symmetric solution from an exhaustive search of 7,558,272 possible assignments of Fibonacci divisors and phase groups. Five successive physical constraints β€” inclination balance β‰₯ 99.994%, eccentricity balance β‰₯ 99%, Laplace–Lagrange bounds, direction match with rate error ≀ 6β€³, and mirror symmetry β€” narrow the candidates from 7,558,272 to 42 viable configurations, of which only one is mirror-symmetric. Each candidate is evaluated at its own optimal anchor position and ascending node integers, making the comparison fair. Inner and outer planets share the same Fibonacci divisors in reverse order (3, 5, 21, 34 ↔ 34, 21, 5, 3), with the asteroid belt acting as the mirror axis. Because the configuration is uniquely determined by the constraints, it adds no additional degree of freedom to the 6 Earth parameters above. See the Fibonacci Laws for the complete derivation.


Why 1246 AD?

According to J. Meeus’s formula, on December 14, 1245 AD, the December solstice was almost fully aligned with Earth’s perihelion. This means the longitude of perihelion was approximately 90Β° (measured from the vernal equinox in the direction of Earth’s orbital motion).

By June 2000 AD, the longitude of perihelion had grown to ~102.947Β° - a shift of ~12.947Β° in 754 years.

This alignment date determines where we are in the perihelion precession cycle, which in turn determines all other cycle positions.


Why 335,317 Years?

The Earth Fundamental Cycle length of 335,317 years is determined by six factors:

  1. Solstice-perihelion alignment in 1246 AD - must be exactly at a cycle boundary
  2. Fibonacci ratios - precession cycles must relate as 3:13 (inclination:axial)
  3. Climate cycles - three ~112k year cycles visible in ice core data
  4. Planet orbital periods - all major planets must complete whole orbits
  5. Moon cycles - lunar periods must align with the master cycle
  6. Observed precession rates - current measurements must fit within the cycle

335,317 is the smallest number satisfying all constraints.


Fibonacci Breakdown

FibonacciCycleDuration
1Earth Fundamental Cycle335,317 years
3Inclination Precession~111,772 years
5Ecliptic Inclination~67,063 years
8Obliquity~41,915 years
13Axial Precession~25,794 years
16Perihelion Precession~20,957 years

These Fibonacci divisors also govern the relationships between planetary eccentricities and inclination amplitudes β€” see Fibonacci Laws Derivation for six independent laws connecting all eight planets through Fibonacci numbers and the mass-weighted quantity eΓ—me \times \sqrt{m}.


Match Quality

What This Configuration Explains Well

AspectQualityDetails
Precession cyclesExcellentAll three precession types match observations
Moon cyclesGoodSynodic, sidereal, nodal periods all fit
ObliquityGoodOscillation between 22.21Β° - 24.72Β° matches data
Climate patternsGood~112k year cycles visible in ice cores

Known Limitations

AspectQualityDetails
EccentricityPartialMatches short-term (under 500 years), diverges long-term
Delta-TPartialGeneral trend correct, specific values vary
Historic year lengthsPartialSome discrepancy with ancient observations

These limitations are being investigated. Alternative alignment years may be explored in the future to improve these matches.


Predictions

This configuration makes the following testable predictions which contradict the current theory:

  1. Sun at max declination: the RA value (in ICRF) will shift from 6h to less than 6h
  2. Eccentricity will decrease until 11,725 AD, then increase
  3. Mercury’s β€œmissing” advance will decrease over the coming century

These can be verified against future observations. For the complete list of 18 testable predictions organized by timeframe, see Predictions.


Resources


How It All Connects

Holistic Universe Model overview diagram showing all precession cycles and their Fibonacci relationships

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