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ON THE ASSUMPTION OF STORAGE EQUIVALENCE IN QUANTUM ENERGY SUBSYSTEMS

Darren Cudd

Published Jan 13, 2026• 0 citations
Publisher

Abstract

This paper examines the physical validity of treating internal quantum energy retention as equivalent to classical energy storage. Using a strict logical-necessity framework, it tests whether retained quantum excitations enforce work, force, or energy transfer across a system boundary during operation. By fixing the system boundary and applying conservation laws and eliminative removal tests, the paper shows that internal quantum subsystems only redistribute pre-existing energy and do not constitute physically enforcing storage mechanisms. The analysis isolates and rejects the implicit assumption of storage equivalence that underlies many quantum battery claims, without disputing experimental observations, coherence effects, or internal dynamics.

DOI
10.5281/zenodo.18229597

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This paper examines the physical validity of treating internal quantum energy retention as equivalent to classical energy storage. Using a strict logical-necessity framework, it tests whether retained quantum excitations enforce work, force, or energy transfer across a system boundary during operation. By fixing the system boundary and applying conservation laws and eliminative removal tests, the paper shows that internal quantum subsystems only redistribute pre-existing energy and do not constitute physically enforcing storage mechanisms. The analysis isolates and rejects the implicit assumption of storage equivalence that underlies many quantum battery claims, without disputing experimental observations, coherence effects, or internal dynamics.
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This paper identifies what physical enforcement reduces to when stripped to pure quantum physics. Using a strict logical-necessity framework and excluding observers, measurement, mathematics, and interpretation, it shows that persistent constraints can exist only through ongoing interaction that suppresses otherwise allowed quantum transitions. That suppression necessarily involves coupling, back-reaction, and dissipation; when interaction is removed, constraints immediately fail. The result isolates physical enforcement as an active, energy-consuming process at the quantum level and rules out passive or cost-free notions of laws or constraints.
Estimation of work at the quantum scale remains a central challenge in quantum thermodynamics. Canonical approaches have a fundamental drawback: they assume classical control of the quantum system, as implicit in a time-dependent Hamiltonian. Yet the energetic cost of implementing this control is omitted and can exceed the system's energy scale by orders of magnitude, calling into question the operational significance of work values. We address this by autonomizing the controlled energy transfer, embedding the driven dynamics into an energy-conserving evolution on a larger quantum system. Work is then unambiguously identified with the energy transferred between the two systems, singling out a unique observable on the driven system: the work operator. We show that the quantum work operator evades a no-go theorem by deriving a quantum fluctuation theorem that recovers the Jarzynski equality in classical scenarios. We incorporate imperfect control and quantify corrections to work statistics. Extending the framework to open quantum systems, we obtain an operatorial first law in which work, heat, and internal-energy changes are represented by distinct operators on the reduced system. Together, these results settle the long-standing debate over whether work is a quantum observable: it is, once the controlling system is included in the description rather than treated as external.
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This paper examines whether physical laws can exist as fundamental enforcers when all components of physics—the observer, the environment, and the act of observation—are stripped to pure quantum mechanics. Using a strict logical-necessity framework, it shows that quantum systems permit transitions by default and that persistent regularities arise only when interactions suppress those transitions through coupling, back-reaction, and dissipation. What are called “physical laws” therefore cannot act as causes or governing agents; they are descriptive invariants that summarize the repeated outcomes of identical enforcement mechanisms operating across systems. No new physics is introduced—only the physical basis of law is clarified.