Unification of Relativistic and Quantum Mechanics from Elementary Cycles Theory

TL;DR

Elementary Cycles theory describes quantum particles as classical, ultra-fast relativistic spacetime cycles, unifying quantum and relativistic physics through geometrodynamics, reproducing quantum principles from classical physics.

Contribution

The paper introduces a classical-relativistic cyclic dynamics framework that unifies quantum mechanics and relativity without additional postulates.

Findings

Reproduces quantum axioms and path integrals from classical cyclic dynamics.

Derives gauge interactions from relativistic geometrodynamics.

Unifies quantum and relativistic physics through elementary spacetime cycles.

Abstract

In Elementary Cycles theory elementary quantum particles are consistently described as the manifestation of ultra-fast relativistic spacetime cyclic dynamics, classical in the essence. The peculiar relativistic geometrodynamics of Elementary Cycles theory yields de facto a unification of ordinary relativistic and quantum physics. In particular its classical-relativistic cyclic dynamics reproduce exactly from classical physics first principles all the fundamental aspects of Quantum Mechanics, such as all its axioms, the Feynman path integral, the Dirac quantisation prescription (second quantisation), quantum dynamics of statistical systems, non-relativistic quantum mechanics, atomic physics, superconductivity, graphene physics and so on. Furthermore the theory allows for the explicit derivation of gauge interactions, without postulating gauge invariance, directly from relativistic geometrodynamical transformations, in close analogy with the description of gravitational interaction in general relativity. In this paper we summarise some of the major achievements, rigorously proven also in several recent peer-reviewed papers, of this innovative formulation of quantum particle physics.