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

Configuration: 1246 AD Alignment

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
Holistic-Year335,317 years
Axial Precession~25,794 years (mean)
Inclination Precession111,772 years
Perihelion Precession20,957 years
Obliquity Cycle41,915 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. Together with the planet configuration below, these form the model’s 6 free parameters (5 continuous Earth parameters + 1 discrete configuration choice).

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 Holistic-Year 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_HARMONICS3 termsFourier harmonics for tropical year (H/8, H/3, H/16)
SIDEREAL_YEAR_HARMONICS2 termsFourier harmonics for sidereal year (H/8, H/3)
ANOMALISTIC_YEAR_HARMONICS4 termsFourier harmonics for anomalistic year (H/8, H/3, H/16, H/24)

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, time-averaged mean = 0.015387)
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 (from Law 1’s Fibonacci hierarchy), a quantum number d (determining amplitude via amplitude = ψ / (d Γ— √m)), and a phase angle (in-phase or anti-phase). The periods and phases are observationally constrained; only the d-assignment is a free choice, making this a single discrete parameter.

PlanetEcliptic PeriodFormuladFibonacciGroupMirror pair
Mercury243,867H Γ— 8/1121Fβ‚ˆIn-phase↔ Uranus
Venus670,6342H34F₉In-phase↔ Neptune
Earth111,772H / 33Fβ‚„In-phase↔ Saturn
Mars76,644H Γ— 8/355Fβ‚…In-phase↔ Jupiter
Jupiter67,063H / 55Fβ‚…In-phase↔ Mars
Saturn41,915H / 83Fβ‚„Anti-phase↔ Earth
Uranus111,772H / 321Fβ‚ˆIn-phase↔ Mercury
Neptune670,6342H34F₉In-phase↔ Venus

Config #8 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 ≀ 5β€³, and mirror symmetry β€” narrow the candidates from 7,558,272 to 41 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. This is the model’s 6th free parameter β€” a discrete configuration choice rather than a continuous value. 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 270Β° (or equivalently, ~90Β° when measured from the vernal equinox).

By June 2000 AD, the longitude of perihelion had grown to ~102.95Β° - a shift of ~12.95Β° 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 Holistic-Year 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 ~111k 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
1Holistic-Year335,317 years
3Inclination Precession111,772 years
5Ecliptic Inclination67,063 years
8Obliquity41,915 years
13Axial Precession~25,794 years
16Perihelion Precession20,957 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 patternsGoodApprox. 100k 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 obliquity the RA value will shift from 6h to less than 6h
  2. Eccentricity will decrease until 11,725 AD, then increase
  3. Mercury missing advance will be lesser the coming century

These can be verified against future observations. For the complete list of 17 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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