Nonlocality, No-Signalling and Bell's Theorem investigated by Weyl's Conformal Differential Geometry

TL;DR

This paper uses Weyl's conformal differential geometry within Conformal Quantum Geometrodynamics to derive Dirac's equation and analyze EPR entanglement, offering new insights into quantum nonlocality and Bell's theorem.

Contribution

It introduces a novel geometric approach to quantum mechanics that derives Dirac's equation and addresses quantum nonlocality without paradoxes.

Findings

Derivation of Dirac's equation from conformal geometry

Resolution of quantum nonlocality paradoxes

Insight into Bell's inequality violations

Abstract

The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyl's 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 Dirac's 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 Bell's inequalities leads, by an exact albeit non relativistic analysis, to an insightful resolution of all paradoxes implied by quantum nonlocality.