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In this paper, I consider the issue of how two mathematical models of modernphysics, the variational principles and the quantum path integral formalism,relate to reality. I assume that the observed phenomena are consistent with thecalculations because both of these models have some common ontologicalfoundations. According to the hypothesis of the summation of coexistingalternative possibilities, at the quantum level, the system at once moves alongall histories that possible in given boundary conditions. The actual history isa mere result of the summation of all these alternative possible histories.This resultant history differs from others with the minimal action and maximalprobability. I observe this history as a macroscopic trajectory of the system.

Ontological Foundations of the Variational Principles and the Path Integral Formalism