Mordecai Gavila Alvarez

Spectral Gap and Arithmetic Structure in a Unified 432-Lattice Framework: Finite Combinatorial Lattices and Discrete Gauge Transfer Operators

Preprint (REVTeX 4.2 / APS two-column format): explicit finite-lattice results on index set Λ432 ≅ Z/16Z × Z/27Z ≅ Z/432Z. Includes exact Wilson transfer-matrix spectrum for Σ3 ⊂ SU(3) at L=1 (β=1/2), hybrid 432×432 contraction, twin-prime statistics mod 432 (p ≤ 106), Weil-form...

A HAL/Z3 Cosmological Model from TOE Postulates: Grand Deployment with Variational Closure (Postulate IV-b)

HAL/Z3 cosmological preprint (APS/revtex4-2 format): Grand Deployment narrative postulate (fold saturation at gmax, coherence relaxation C→C0, birth horizon LM) plus Postulate IV-b — gravitational saturation of the ADM Hamiltonian constraint yielding H2=(8πG/3)ρ(1−ρ/ρP) from δS/δ...