The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyls differential geometry are presented. The theory applied to the case of the relativistic single quantum spin 1/2 leads a novel and unconventional derivation of Diracs equation. The further extension of the theory to the case of two spins 1/2 in EPR entangled state and to the related violation of Bells inequalities leads, by an exact albeit non relativistic analysis, to an insightful resolution of all paradoxes implied by quantum nonlocality.
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