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

John Richard Smith Smith, SHAI / HATI

Published Jan 28, 2026• 0 citations
Publisher

Abstract

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

DOI
10.5281/zenodo.18397160

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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
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We introduce the Quantum Theory of Life (QTL), a biorealistic physical frameworkthat operationalizes living systems as non-equilibrium phase transitions actively sustainingquantum coherence against environmental decoherence pathways. Rejecting spectatorcollapsehypotheses and speculative consciousness postulates, QTL grounds biological agencystrictly in open quantum system dynamics and non-equilibrium thermodynamics. Wedemonstrate that living systems maintain functional superpositions within a non-Markovianprotected subspace (HP ) while directionally executing state transitions through a dissipativegating channel (HG). Furthermore, high-frequency biomolecular vibrations act via motionalnarrowing and dynamical decoupling to shield coherence, continuously sustained by a drivenmetabolic entropy-export fee. Finally, we propose two explicit, experimentally falsifiable 2Dspectroscopic protocols to test active coherence maintenance in intracellular complexes.
This paper proposes a quantum measurement framework based on structuralstability theory, aiming to resolve the logical dilemma of the quantum–classicaltransition in Schrödinger’s cat paradox. Traditional quantum mechanics relies onexternal mechanisms such as “observer introduction” or “decoherence” to explainmacroscopic reality, leading to vague ontological commitments. We argue that thefundamental reason macroscopic quantum states cannot maintain coherent superpositions lies in the self-organizing critical behavior constrained by the system’sinternal structural stability. The core mechanism is: when a quantum system couples with a classical measuring device, its Hilbert space representation is forced toproject from a high-dimensional unitary representation onto a low-dimensional classical representation, a process driven by the extremization of a structural stabilityfunctional, not by external observation. We rigorously prove that when the system’sstructural information density exceeds a critical threshold, the quantum superposition state cannot satisfy self-consistency constraints mathematically; the systemmust select a classical eigenstate through an “algebraic filtration” mechanism. Thetheory yields three testable predictions: (1) a microscopic entropy production pulseat the moment of coupling between the measuring device and the quantum system,of order 10−21 J/K; (2) a deviation of the quantum Zeno suppression factor fromstandard quantum mechanical predictions on microsecond scales; (3) a scaling-lawdivergence of the decoherence time of macroscopic superpositions at critical parameters. These effects can be tested in coupled superconductor qubit–mechanicalresonator systems. The framework does not modify unitary evolution, does not relyon many-worlds assumptions, and does not introduce collapse postulates; instead,it transforms the measurement problem into a question of compatibility betweenquantum information structure and geometric–topological constraints.
Abstract This paper introduces Quantum Homeostasis as an interpretive framework for understanding quantum decoherence, superposition, and recoherence through the concept of boundary regulation. Rather than treating decoherence as wavefunction collapse triggered by observation, the framework recharacterises it as boundary saturation—the point at which a system can no longer sustain unresolved ambiguity within its regulatory capacity. Superposition is reframed as tolerated ambiguity: a condition in which multiple incompatible configurations coexist within stable boundary conditions. Recoherence is understood not as a return to a prior state but as recovery into a new homeostatic configuration. The framework draws disciplined structural comparisons across quantum, cognitive, and biological systems without asserting metaphysical equivalence between domains. No new physical formalism is proposed. The aim is interpretive clarification: to offer a process-level vocabulary that may help researchers think more precisely about how stability persists through ambiguity across scale. The paper explicitly identifies its own limits and non-claims. Keywords: quantum homeostasis, decoherence, boundary regulation, superposition, recoherence, process isomorphism, interpretive framework
Abstract This paper introduces TTU-Q (Quantum Temporal Theory of the Universe), a novel ontological framework in which time is treated as a quantum field τ(x, Θ) evolving along an internal hypertemporal axis Θ. Unlike classical and quantum models where time is a passive parameter, TTU-Q formalizes time as a dynamic, quantizable substance with its own operator structure, spectrum, and internal evolution. The theory defines a canonical pair (τ̂, p̂Θ), establishes a hypertemporal Schrödinger equation: i·ħ·(∂τ̂ / ∂Θ) = [τ̂, Ĥ] and derives a Klein–Gordon-type field equation for temporal fluctuations. These foundations enable a new paradigm for cybernetics and artificial intelligence, where information is structured temporality and computation is the manipulation of time configurations. TTU-Q provides a physical basis for self-awareness, memory, and causality in intelligent systems, and predicts measurable effects such as phase shifts in interferometry and temporal decoherence in atomic clocks. Keywords Quantum time; hypertemporal evolution; TTU-Q; temporal field; causal operator; temporal  Abstract + Keywords  1. Introduction: Time as Substance, Not Parameter  2. Mathematical Foundations of TTU-Q  3. Temporal Coherence as Informational Structure  4. Architecture of Temporal Computing  5. Experimental Predictions and Applications  6. Philosophical Implications and Future Work
Abstract Across quantum foundations, gravitational physics, and high-energy astrophysics, a recurring structural pattern is observed: systems exhibit delayed responses, threshold-dependent transitions, and stabilising behaviour that resists simple characterisation as entropy maximisation, teleological control, or external optimisation. This paper introduces Ecological Homeostasis (EH) as a structural interpretive framework — not a physical theory — for identifying and describing this class of regulatory behaviour. EH denotes constraint-driven feedback and relational mismatch as the structural basis of stability in physical systems. The framework introduces no new dynamical laws, no new equations, no new observables, and no modifications to General Relativity, Quantum Field Theory, or ΛCDM cosmology. Its value lies in providing a shared conceptual vocabulary that reduces category errors when patterns of regulation are discussed across domain boundaries. The paper defines EH formally, illustrates its interpretive application to non-thermodynamic decoherence and gravitational boundary phenomena, states explicitly what EH is not, and assesses its value as a tool for conceptual clarity. It is designed to stand alone, to be safe to cite, and to remain useful even if no further work on EH is undertaken. Keywords: ecological homeostasis, structural regulation, decoherence, quantum foundations, gravitational systems, conceptual framework, category error, relational mismatch