Quantum Homeostasis : The Dead Cat Thermal Time and Non-Equilibrium Coherence Maintenance

Abstract We present a framework of Quantum Homeostasis wherein temporal modes (Past, Present, Future) are thermodynamic attractors, not external parameters. The “Dead Cat” (Past) represents terminal stasis (high-entropy eigenstate); the “Live Cat” (Future) represents maintained disequilibrium via metabolic work; the “Unknown Cat” (Present) represents the timeless Wheeler-DeWitt constraint. By extending the Connes-Rovelli thermal time hypothesis with a non-equilibrium chemical potential for coherence (Λ), we derive a homeostatic Lindbladian that actively maintains quantum superposition against environmental decoherence. This provides the ontological foundation for error-prevention architectures in quantum systems. Keywords: quantum homeostasis, thermal time hypothesis, decoherence, Lindbladian dynamics, Wheeler-DeWitt equation, non-equilibrium thermodynamics, quantum error prevention