  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.
