Reflexive Micro-Granular Prime Dynamics: A Spectral Fixed-Point Framework for the Physical Origin of Prime Density Fluctuations

This work develops a deterministic spectral–geometric framework in which the global distribution and local fluctuations of prime numbers emerge from the fixed-point spectrum of Reflexive Micro-Granular (RMG) Dynamics. By constructing a prime wavefunction from RMG eigenmodes and extending the model through interference, curvature flow, collapse dynamics, and reflexive quantization (v1–v5), the manuscript provides a unified physical interpretation of prime density fluctuations and introduces a deterministic Reflexive Prime Functional that approximates an index-based closed-form generator for primes. Although the framework does not prove the Riemann Hypothesis, it offers a structurally coherent explanation for GUE-type correlations, the significance of the critical line ℜ(s)=1/2, and the generative origin of prime irregularities.