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On probability theory and probabilistic physics—Axiomatics and methodology

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Abstract

A new formulation involving fulfillment of all the Kolmogorov axioms is suggested for acomplete probability theory. This proves to be not a purely mathematical discipline. Probability theory deals with abstract objects—images of various classes of concrete objects—whereas experimental statistics deals with concrete objects alone. Both have to be taken into account. Quantum physics and classical statistical physics prove to be different aspects ofone probabilistic physics. The connection of quantum mechanics with classical statistical mechanics is examined and the origin of the Schrödinger equation is elucidated. Attention is given to the true meaning of the wave-corpuscle duality, and the incompleteness of nonrelativistic quantum mechanics is explained.

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Authors and Affiliations

  1. Institute of Elemento-Organic Compounds, Academy of Sciences of the USSR, Moscow, USSR

    L. S. Mayants

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  1. L. S. Mayants
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Mayants, L.S. On probability theory and probabilistic physics—Axiomatics and methodology. Found Phys 3, 413–433 (1973). https://doi.org/10.1007/BF00709111

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  • DOI: https://doi.org/10.1007/BF00709111

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