Prime Time

Following the closure of the AM-Regulator series at Preprint 31, the present work advances a relational interpretation of prime distribution under conserved structural accumulation. Rather than proposing predictive localization of primes, the author examines their logarithmic thinning as a dilation phenomenon governed by regulated additive–multiplicative growth. Within this framework, accumulation controls geometric regime transitions, while prime density reflects a conserved spectral constraint. The analysis is compatible with the Prime Number Theorem ^[1][2] and the spectral duality underlying the Riemann zeta function. ^[3][5] The structure is presented as mathematically autonomous yet simultaneously applicable across scale-regulated systems.