The Energy Cost of Coherent Persistence in Spacetime

This work introduces an operational framework for analyzing the energetic requirements associated with maintaining coherent persistence of complex systems relative to spacetime. While General Relativity successfully describes the geometric structure of spacetime and quantum mechanics governs local state evolution, comparatively little attention has been given to the energetic cost incurred by systems that remain stably synchronized with an external spacetime reference structure. The framework defines a dimensionless interaction parameter, χ, which quantifies the degree of alignment between a system’s internal dynamics—such as energy flow, temporal regulation, and decoherence behavior—and its surrounding gravitational environment. Values of χ near unity correspond to stable synchronization, while lower values indicate increasing energetic demand and reduced causal robustness. Analysis of recovery and perturbation dynamics suggests the existence of threshold behavior, in which reduced χ is associated with sharply elevated energy expenditure and diminished stability. In this regime, restoration of high-χ states is predicted to occur via discrete, non-adiabatic transitions rather than gradual relaxation, consistent with phase-transition phenomena observed in other coherence-maintaining systems. The framework is defined strictly in operational terms and does not assume any privileged role for subjective experience, intentionality, or biological specificity. Biological systems are emphasized solely as experimentally accessible examples of high-coherence, energy-regulated systems. The approach complements existing physical theories by focusing on coherence maintenance rather than spacetime dynamics themselves, and it yields experimentally distinguishable predictions across gravitational, quantum, and energetic domains.