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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. Philosophy of Science, 52 (2). pp. 108-120.

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Abstract

This paper explores the issue of the unification of three languages of physics, the geometric language of forces, geometric language of fields or 4-dimensional space-time, and probabilistic language of quantum mechanics. On the one hand, equations in each language may be derived from the Principle of Least Action (PLA). On the other hand, Feynman's path integral method could explain the physical meaning of PLA. The axioms of classical and relativistic mechanics can be considered as consequences of Feynman's formulation of quantum mechanics.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Terekhovich, Vladislav E. v.terekhovich@gmail.com
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: 08 Apr 2014 14:52
Last Modified: 08 Apr 2014 14:52
Item ID: 10603
Journal or Publication Title: Philosophy of Science
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
Date: 3 October 2012
Page Range: pp. 108-120
Volume: 52
Number: 2
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/10603

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