Geometric Derivation of Macroscopic Physics and Deterministic Prime Number Generation via a Discrete Modulo-24 Causal Lattice
Abstract
This paper presents a rigorous, geometric model that resolves the apparent randomness of prime number distribution through a deterministic, discrete Modulo-24 causal lattice. By replacing continuous field equations with discrete binomial operators, the model proves that all prime numbers p \ge 5 act as topological resonance nodes on exactly 8 deterministic spokes of a cylindrical spacetime wheel (1, 5, 7, 11, 13, 17, 19, 23).
For researchers and mathematicians calculating prime numbers, this paper introduces a geometric sieve and a structural explanation for prime distribution based on fractal branching and a rigid 4-2-4-2 distance rhythm. Furthermore, it mathematically proves that the squaring (self-interaction) of any prime node p \ge 5 deterministically collapses to the exact origin (p^2 \equiv 1 \pmod{24}), enforcing a holographic synchronization of the macroscopic universe. The model provides a unified framework bridging deterministic prime number generation, twin prime architecture, and the geometric emergence of rest mass via chiral helices.
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BibTeX
@misc{bosin2026geometric,
title = {{Geometric Derivation of Macroscopic Physics and Deterministic Prime Number Generation via a Discrete Modulo-24 Causal Lattice}},
author = {Gerald Bosin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446658},
url = {https://zenodo.org/records/23446658},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Geometric Derivation of Macroscopic Physics and Deterministic Prime Number Generation via a Discrete Modulo-24 Causal Lattice
AU - Gerald Bosin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446658
UR - https://zenodo.org/records/23446658
AB - This paper presents a rigorous, geometric model that resolves the apparent randomness of prime number distribution through a deterministic, discrete Modulo-24 causal lattice. By replacing continuous field equations with discrete binomial operators, the model proves that all prime numbers p \ge 5 act as topological resonance nodes on exactly 8 deterministic spokes of a cylindrical spacetime wheel (1, 5, 7, 11, 13, 17, 19, 23). For researchers and mathematicians calculating prime numbers, this paper introduces a geometric sieve and a structural explanation for prime distribution based on fractal branching and a rigid 4-2-4-2 distance rhythm. Furthermore, it mathematically proves that the squaring (self-interaction) of any prime node p \ge 5 deterministically collapses to the exact origin (p^2 \equiv 1 \pmod{24}), enforcing a holographic synchronization of the macroscopic universe. The model provides a unified framework bridging deterministic prime number generation, twin prime architecture, and the geometric emergence of rest mass via chiral helices.
ER -