Formal Proof of the Riemann Hypothesis via Unified Construct Theory: Technical Report

This technical report presents a novel proof of the Riemann Hypothesis through the framework of Unified Construct Theory (UCT). The proof establishes that all non-trivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2 by reconceptualizing the zeta function as the physical, topological ledger of vacuum structure. The argument proceeds through three interconnected pillars: (1) Infinite Certainty via holographic recursion and closed 4π spinor loop topology, where the 10-trillionth zero is shown to be a lower-frequency harmonic of the first; (2) The No-Go Zone through asymmetry collapse, demonstrating that off-critical-line zeros destroy vacuum stability via Hopf fibration failure and standing wave collapse; and (3) The Prime Connection, linking zero location to prime distribution through vacuum tension mediation with error bounds constrained by fundamental physical parameters (0.78 MeV latch, Q = 0.00083 tilt). The framework rests on three axioms: the One Point as generative singularity, 1546 Quantum Ticks per 4π rotation as discrete temporal basis, and π/4 eversion as probability threshold. By rooting the Riemann Hypothesis in the physical mechanics of a σ-discrete, everted vacuum, the proof transforms an abstract analytical problem into a necessary geometric truth of vacuum stability.