On the Cyclic Nature of Time and the Consequent Exact Derivation of Quantum Mechanics from Classical-Relativistic Physics
We have proven, with mathematical certainty and in several independent ways, the exact equivalence between the classical statistical description of ultra-fast harmonic dynamics and quantum mechanics. The equivalence has been rigorously confirmed in: canonical quantization, Feynman quantization, second quantization, and successfully verified for non-trivial quantum phenomena of condensed matter and high energy physics. The non-trivial topology of the theory has revealed a further remarkable result: the principle of relativistic covariance directly yields gauge interaction, without postulating gauge invariance, as much as gravitational interaction. All these independent results constitute an abundant amount of unequivocal evidence to postulate the intrinsic periodicity of elementary systems as the fundamental classical principle at the base of quantum mechanics. That is, the whole plethora of quantum phenomena turns out to be fully conciliated, in a fully unified description, with the principle of classical-relativistic physics, provided the introduction of a cyclic nature for the relativistic time.