Geometric Phases, Entropic Suppression, and Quantum Trajectories
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This document presents an exhaustive, step-by-step synthesis of:- Stochastic geometric phases (GPs) in monitored quantum trajectories (Viotti et al., 2023),- The universal 1/E^2 coherence-suppression law (Stanley, 2025) across quantum, gravitational, and biological systems,- Analytical derivations from five first-principles frameworks,- Numerical simulation protocols with 10^5 trajectories per point,- Polished tables demonstrating key claims with fully worked numbers,- Experimental proposals for superconducting qubits, LIGO O4 data, and more.
