Relativistic Nonlocality and the EPR Paradox

Jean Bricmont, Sheldon Goldstein, Douglas L. Hemmick

John R. Fanchi

Doyeol Ahn, Hyuk‐Jae Lee, Sung Woo Hwang

Relativistic bipartite entangled quantum states is studied to show that Nature doesn't favor nonlocality for massive particles in the ultra-relativistic limit. We found that to an observer (Bob) in a moving frame S', the entangled Bell state shared by Alice and Bob appears as the superposition of the Bell bases in the frame S' due to the requirement of the special relativity. It is shown that the entangled pair satisfies the Bell's inequality when the boost speed approaches the speed of light, thus providing a counter example for nonlocality of Einstein-Podolsky-Rosen(EPR) paradox.

Jianlan Chen

Like classical theory,quantum theory including non-relativistic quantum mechanics and relativistic quantum field theory has adopted locality description.But,essentially,quantum theory is a space nonlocality theory dressed by locality description.Since EPR paradox,Bell inequality,GHZ theorem,Hardy theorem and Cabello theorem were proposed,there have been a lot of theoretical and experimental works about the space nonlocality route along Bell-GHZ-Hardy-Cabello.Up to now the experimental results all support quantum theory.However,the essence of the space nonlocality characteristics of quantum theory has not been discovered yet,nor can the existence of hidden variables be denied,a situation that keeps attracting more attention and consideration to this hot issue.Here we generalize this route concisely and specify the related ideas,definition and theorem systemically.At last we give a detailed comment on this route.

Bidyut Kumar Datta, V. de Sabbata, Renuka Datta

F. De Martini, Enrico Santamato

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.