Topological Genesis of Particle Physics: From Pre-Geometric Spinor Networks to Observable Masses

Abstract We present a first-principles derivation of Standard Model parameters from pre-geometric topology. A discrete 4096-node Dirac spinor network on a 4D hypercubic lattice, character-ized by Betti numbers b = [1, 20√48, 384, 32, 1] and instanton charge Q = 1, generates: (i)critical frustration Ccrit = (2/3) 3 ≈ 0.385 from geometric consistency, determining the electroweak phase transition trigger; (ii) Yukawa hierarchy yf e−Qf /β with Qf = 0, 3, 7 from cycle windings; (iii) Josephson oscillation mechanism across 3000 cycles ( 10−22 s) executing mass generation via phase-switching between superconducting and normal states;(iv) dual causal speeds cq = 0.62 cg converging to cfinal = 0.95 cg, resolving Hubble tension (H0 = 74.5 km s−1 Mpc−1). We prove topological inevitability of the framework through homotopy theory, assess feasibility against string theory and holographic approaches, de-rive the complete Josephson death dynamics, and predict particle mass spectrum. Single compromise: β = 1.15 (renormalization-group sensitive). External input: TCMB = 2.725 K only.