OS System / ε-Model — Time-Scale Duality & Fractal Projection Matrix ( part 17 )

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22837673
Primary Topic
Space Science and Extraterrestrial Life
Type
preprint
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preprint

OS System / ε-Model — Time-Scale Duality & Fractal Projection Matrix ( part 17 )

Danijus Kazlauskas
Zenodo (CERN European Organization for Nuclear Research)
Space Science and Extraterrestrial Life
preprint

OS System / ε-Model — Time-Scale Duality & Fractal Projection Matrix ( part 17 )

Danijus Kazlauskas
preprint en

Abstract

This research document formalizes the latest mathematical derivations and structural mechanics of the Universe OS theoretical framework, establishing physical reality as a scale-free, multidimensional holographic information matrix. Standard academic physics treats temporal durations, light speed, orbital dimensions, and subatomic parameters as independent empirical variables measured across a continuous vacuum. The Universe OS model demonstrates that dimensional units (seconds, kilometers, km/s) are measurement artifacts generated within the observer's Projection Layer, while the fundamental OS Layer operates strictly on non-dimensional invariants, phase-correction rates, and scale indices (10^N). Key mathematical breakthroughs detailed in this document include:1. Inverse Light Constant & Base-60 Matrix: Derivation of the inverse speed of light (c⁻¹) and throughput (c ≈ 299,792.45 km/s) from the square of base-60 pixel density (16.666...²) folded through the inter-scale shift operator (Go = 1.2008) and 6-bit spatial lattice modulus.2. The Master Field Invariant (c^1.5) & Planetary Architecture: Formalization of the volumetric field invariant F = c^1.5 (c·√c ≈ 164,146,294.67), which directly yields planetary circumferences and diameters across Earth (99.999%), Mars, Venus, Mercury, Jupiter, Saturn, Uranus, and Neptune when projected through integer cubic matrices (n³ = 4³, 7³, 10³, 11³) and spherical divisors (7).3. The 13.8–13.9 Matrix Projection Horizon: Proof that the empirical "age of the universe" (13.8 billion years) is not a temporal boundary or Big Bang origin, but the maximum resolution limit of the local scale window dictated by α⁻¹ / π² ≈ 13.88.4. Scale-Invariant Micro/Macro Coupling: Demonstration of the invariant mantissa sequence (1.157...) linking the Bohr atom (vb·rb), daily diurnal seconds (1/86,400 s), and orbital field converters (10^9 / (v²·π⁴)) with a variance margin of under 0.022%. The paper synthesizes these derivations into a self-consistent, scale-free geometric architecture, proving that subatomic quantum resonances and macro-astronomical orbital mechanics are locked within a single unified algorithmic code.

Zenodo (CERN European Organization for Nuclear Research)
Space Science and Extraterrestrial Life
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