1210.1176 (Vladislav Terekhovich)

Probabilistic and Geometric Languages in the Context of the Principle of
Least Action    [PDF]

Vladislav Terekhovich

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.

View original: http://arxiv.org/abs/1210.1176