  Every system in physics is described in terms of interacting elementary
particles characterized by modulated spacetime recurrences. These intrinsic
periodicities, implicit in undulatory mechanics, imply that every free particle
is a reference clock linking time to the particle's mass, and every system is
formalizable by means of modulated elementary spacetime cycles. We propose a
novel consistent relativistic formalism based on intrinsically cyclic spacetime
dimensions, encoding the quantum recurrences of elementary particles into
spacetime geometrodynamics. The advantage of the resulting theory is a formal
derivation of quantum behaviors from relativistic mechanics, in which the
constraint of intrinsic periodicity turns out to quantize the elementary
particles; as well as a geometrodynamical description of gauge interaction
which, similarly to gravity, turns out to be represented by relativistic
modulations of the internal clocks of the elementary particles. The
characteristic classical to quantum correspondence of the theory brings novel
conceptual and formal elements to address fundamental open questions of modern
physics.
