Relativistic Entanglement from Relativistic Quantum Mechanics in the Rest-Frame Instant Form of Dynamics

TL;DR

This paper introduces a new relativistic quantum mechanics framework in the rest frame that addresses issues like clock synchronization and relativistic entanglement, emphasizing non-locality inherent in Poincaré generators.

Contribution

It proposes a formulation of relativistic quantum mechanics based on relative variables in the rest frame, overcoming traditional synchronization and non-locality challenges.

Findings

Addresses clock synchronization issues in relativistic quantum mechanics.

Highlights the non-locality of Poincaré generators affecting entanglement.

Provides a consistent framework for relativistic bound states.

Abstract

After a review of the problems induced by the Lorentz signature of Minkowski space-time, like the need of a clock synchronization convention for the definition of 3-space and the complexity of the notion of relativistic center of mass, there is the introduction of a new formulation of relativistic quantum mechanics compatible with the theory of relativistic bound states. In it the zeroth postulate of non-relativistic quantum mechanics is not valid and the physics is described in the rest frame by a Hilbert space containing only relative variables. The non-locality of the Poincare' generators imply a kinematical non-locality and non-separability influencing the theory of relativistic entanglement and not connected with the standard quantum non-locality.