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Physica A Statistical Mechanics and its Applications

Boltzmann–Shannon entropy and the double-slit experiment

Kenneth H. Norwich

Published Jun 20, 2016• 13 citations
Publisher
DOI
10.1016/j.physa.2016.06.087

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This paper presents an environment-first account of the double-slit experiment grounded in Boltzmann-Landauer thermodynamics. It argues that classicality does not arise from particle dynamics, observation, or probability, but from irreversible registration executed by an entropy-bearing environment capable of enforcing exclusion at a minimum thermodynamic cost. Quantum amplitudes and Hilbert space are left unchanged and are treated as representations of admissible structure beyond thermodynamic solvency. Interference persists whenever energy-carrying processes remain unregistered. The disappearance of interference is attributed to environmental registration, not to collapse, observation, or decoherence as a causal mechanism. Decoherence and probability are interpreted as downstream statistical descriptions that apply after irreversible registration has occurred. The paper is diagnostic rather than constructive: it identifies a physical precondition for classical outcomes without proposing new dynamics or modifying quantum mechanics. The analysis reframes the double-slit experiment as a problem of environmental enforceability rather than probabilistic paradox, situating classical facts within thermodynamic constraint rather than epistemic update.