QICT Resolution of the Gauge-Hierarchy Problem: Information-Protected Mass Generation from Strictly Local Quantum Dynamics

We present a constructive approach to the gauge-hierarchy problem within the Quantum Information Copy Time (QICT) framework.The central result, the Information-Protection Theorem (IPT), establishes that in any strictly local, unitary quantum cellular automaton(QCA) with an exactly conserved charge, the physical scalar mass is not a free ultraviolet parameter but is uniquely determined by thereceiver-optimised Liouvillian-squared susceptibility ratio κeff and the static hypercharge susceptibility χY. Because the QCA isstrictly local, its Liouvillian-squared susceptibility is ultraviolet-finite: no mode with |k|> π/a exists in the QCA Hilbert space, sothe quadratic divergence δ m2 ∼Λ2UV is structurally absent from the operator framework. We prove three theorems: (i) UV-finitenessof the QICT susceptibility from QCA locality; (ii) the Golden Relation as the unique positive-definite mass eigenvalue of a well-posedQICT eigenvalue problem, conditional on the diffusive-reduction hypothesis; and (iii) technical naturalness of the mass band underrenormalisation-group flow. The predicted singlet-scalar mass mS = 58.5 ±15.6GeV sits near the Higgs resonance and is consistentwith current LZ direct-detection and ATLAS invisible-width constraints. The framework yields a falsifiable mass band: it is excludedif Higgs-portal searches eliminate the entire interval [43, 74] GeV.