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

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.

Talk at the {\it Fifth Int. Workshop DICE2010 Space-Time-Matter}, Castiglioncello, September 13-17, 2010, 11 pages

References in corpus (10)

• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• Hamiltonian Relativistic Two-Body Problem: Center of Mass and Orbit Reconstruction
• The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics
• Basis States for Relativistic, Dynamically-Entangled Particles
• The Rest-Frame Instant Form and Dirac Observables for the Open Nambu String
• New Directions in Non-Relativistic and Relativistic Rotational and Multipole Kinematics for N-Body and Continuous Systems
• Introduction to relativistic quantum information
• Massless Particles plus Matter in the Rest-Frame Instant Form of Dynamics
• Dark Matter as a Relativistic Inertial Effect in Einstein Canonical Gravity?
• The Einstein-Maxwell-Particle System in the York Canonical Basis of ADM Tetrad Gravity: III) The Post-Minkowskian N-Body Problem, its Post-Newtonian Limit in Non-Harmonic 3-Orthogonal Gauges and Dark Matter as an Inertial Effect