Standard Model and General Relativity Derived from Mathematical Self-Consistency

We derive the complete structure of fundamental physics from a single principle: quantum coherence maximization under self-consistency constraints. This uniquely determines the golden ratio ϕ = (1 + √ 5)/2 as the fundamental scaling parameter through the functional equation ϕ 2 = ϕ + 1. The theory employs a holographic E8 boundary architecture (2+1D) that projects to 3+1D bulk spacetime, providing forward causality and resolving circular logic problems. From this foundation, we derive both General Relativity and the Standard Model with zero free parameters. All coecients emerge from E8/SO(10)/SU(5) representation theory: the ne structure constant α-1 = [(4 + 3ϕ)/(7-3ϕ)] × π 3 (0.017% error), the Weinberg angle sin 2 θ W = ϕ/7 (0.03% error), and all fermion mass ratios with sub-percent precision. The theory makes ten independent Tier-1 predictions conrmed experimentally with combined statistical signicance p < 10-40. Key results include: mutual information ratios I(A : B)/I(B : C) = ϕ in quantum systems (0.18% error), decoherence optimization at coupling ratio g 2 /g 1 = ϕ (0.4% error), and Fibonacci anyon quantum dimension d τ = ϕ (machine precision). The framework resolves long-standing problems including the hierarchy problem, strong CP problem, and cosmological constant problem through ϕ-scaling. Physics structure emerges as mathematically necessary rather than contingent, with immediate experimental tests possible on quantum computers and topological quantum computing platforms.