Bell Doesn't Play Dice! The Classical Mechanical Origin of Quantum Entanglement

Within the most general framework allowed by the classical Principle of Least Action, we find that a specific subclass of classical dynamics, characterized by Intrinsic Periodicity of spacetime, potentially leads to violations of Bell's inequalities. 
This violation of Bell's inequality at a classical level is coherent with the findings of our previous works where we have extensively proven the exact formal equivalence between the statistical description of these ultra-fast inherently classical cyclic dynamics and the predictions of standard quantum mechanics. We have a scenario concealing Einstein's vision of a causal, local reality with Bell's request of non-locality, without involving any hidden variable. In particular, these cyclic classical dynamics introduce a peculiar element that could be interpreted as a ``non-locality'' for what which concerns the Bell experiment, but it is in truth fundamentally distinct from the non-locality postulated in quantum mechanics. It is  manifestly compatible with classical mechanics and is also implicitly present in General Relativity, without breaking causality.   The apparent indeterminism of quantum mechanics seems to arise from the present fundamental experimental limitation in directly observing these ultra-fast cycles, which occur on timescales of approximately $\sim 10^{-21}$ seconds.