V43R: Stochastic Quantum Heartbeat — Deviations from the Born Rule via Environmental Bath Coupling
Yoshida, Satoshi, ChatGPT, A., Gemini, G. +1 more
This paper introduces Langevin noise from environmental bath coupling into the V41 quantum heartbeat model, completing the theoretical progression V41→V42→V43. We systematically investigate how Born-rule correlations are modified under realistic thermal conditions. The stochastic heartbeat model:dχ/dt = −γ(χ − χ*) + η|ψ(x)|² · breathing(t) + √(2D)ξ(t) where D is noise strength and ξ(t) is white Gaussian noise, linked by the fluctuation-dissipation theorem (FDT). Key results:- Deterministic limit (D=0): r ≃ 0.9999, consistent with V41- Non-monotonic beat count dependence on D discovered: competition between noise-assisted activation and noise-induced suppression- Robustness confirmed: Born correlation r ≳ 0.97 maintained even at D = 0.05- (τ, D) phase diagram visualizing "good" vs "bad" measurement windows- FDT constraint D ∝ k_BT/τ validated along thermally consistent trajectories The Born rule emerges as remarkably robust against environmental noise, supporting the universality of quantum mechanics within the breathing paradigm. Part of the YAGC project (Project COSMOS) on information-philosophical cosmology.
•Dec 7, 2025•0 citations