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Probabilistic and Geometric Languages in the Context of the Principle of Least Action

Terekhovich, Vladislav E. (2012) Probabilistic and Geometric Languages in the Context of the Principle of Least Action. [Preprint]

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    Abstract

    This paper explores the question of the unifi�cation of the three basic languages of physics, the geometric language of forces, the geometric language of fi�elds or 4-dimensional space-time, and the probabilistic language of quantum mechanics. I will show that on the one hand, equations in each of these languages may be derived from any form of the Principle of Least Action (PLA). On the other hand, Feynman's `path integral' method could explain the physical sense of these particular forms of PLA. In conclusion, I will show that the axioms of classical and relativistic mechanics become consequences of Feynman's formulation of quantum mechanics.

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    Item Type: Preprint
    Keywords: minimal principles, Hamilton's principle, path integral, interpretation quantum mechanics, probability causality
    Subjects: General Issues > Causation
    Specific Sciences > Physics > Classical Physics
    General Issues > Laws of Nature
    General Issues > Models and Idealization
    Specific Sciences > Probability/Statistics
    Specific Sciences > Physics > Quantum Mechanics
    Specific Sciences > Physics > Relativity Theory
    General Issues > Structure of Theories
    Depositing User: Mr. Vladislav Terekhovich
    Date Deposited: 16 Oct 2012 08:38
    Last Modified: 16 Oct 2012 08:38
    Item ID: 9351
    URI: http://philsci-archive.pitt.edu/id/eprint/9351

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