Geometric Derivation of Macroscopic Physics and Deterministic Prime Number Generation via a Discrete Modulo-24 Causal Lattice

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 ≥ 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 ≥ 5 deterministically collapses to the exact origin (p^2 ≡ 1 {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.