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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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This paper explores the question of the unification of the three basic languages of physics, the geometric language of forces, the geometric language of fields 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
Terekhovich, Vladislav E.
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 12:38
Last Modified: 13 Sep 2015 15:55
Item ID: 9351

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