Relative Base-10 Prime Sets: Positional Classification, Asymptotic Minimality, and Substrate Resonance

This paper introduces and formalizes the concept of Relative Base-10 Prime Sets, classifying prime numbers by their ordinal position within consecutive decade blocks Dn =[10n,10n + 10) ∩N[cite: 5]. We identify a central phenomenon termed Asymptotic Minimality, where the positional structure of primes converges irreversibly to a single active position class (P1)[cite: 5]. This work further identifies a structural resonance between this numerical ”shedding” and the boundary tension and mass gap phenomena observed in the author’s Layered Yang-Mills Substrate Model[cite: 4, 5]