Why 2 and 3 are not Primes: The Dimensional Collapse of Rational Primality: A Formal Proof in the Domain Q(ζ12) under ζ(s) Regularization

This paper establishes that the rational primes {2,3} are composite within a number theoretic framework defined by the cyclotomic field Q(ζ12) and the 26-dimensional (26D) bosonic manifold. By leveraging the algebraic properties of the unified Gaussian and Eisenstein rings and the ζ(s) regularization of the bosonic critical dimension, we prove that {2,3} function as reducible sub-units necessary for manifold stability rather than indivisible atomic primes. This work formalizes the Instability of Rational Primes under Higher-Dimensional Projection.