Yin-Yang balance : a dialectical view of variational principles of physics
Résumé
The aim of this work is to provide a possible philosophical motivation to the variational principles of physics and a possible way to unify the axiomatic formulations of classical mechanics and statistical mechanics. The leitmotif of this work is a dialectical view of the world: any smooth motion in nature is the consequence of the interplay and dynamical balance between pairs of opposite, mutually exclusive but complementary and mutually transformable essences or elements of the motion. This dynamical balance is expressed by an invariant variational relationship between all the pairs of opposite elements in the considered phenomenon. Derivation of several principles of physics from this idea is given.
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