Abstract
Mathematical expressions for the entropyS, the average information gained per trial (Ī) from information theory, and the de Broglie cyclical action integralA from his reinterpretation of wave mechanics are shown to be similar. The importance of this observation in our understanding ofS andĪ is considered. Furthermore, the similarity in the mathematical form of these functions indicates a possible route to further interpretation of de Broglie'sA and the nature of his “hidden thermostat.”
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On leave 1972–1973 from Department of Chemistry, Vassar College, Poughkeepsie, New York.
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Mucci, J.F. On the mathematical form of de Broglie's cyclical action integral. Found Phys 4, 91–95 (1974). https://doi.org/10.1007/BF00708558
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DOI: https://doi.org/10.1007/BF00708558