Momentum entanglement in relativistic quantum mechanics

TL;DR

This paper introduces a group-theoretical framework in relativistic quantum mechanics showing that two-particle states are inherently momentum entangled, which naturally leads to interactions similar to gauge theories with a coupling constant matching the electromagnetic value.

Contribution

It presents a novel group-theoretical approach demonstrating that momentum entanglement in two-particle states under the Poincare group explains particle interactions and determines the coupling constant.

Findings

Two-particle states are inherently momentum entangled due to Poincare group symmetries.

Momentum entanglement acts as an interaction mechanism via virtual gauge quanta.

The derived coupling constant matches the empirical electromagnetic coupling.

Abstract

I present a new group-theoretical approach to the interaction mechanism of elementary particle physics. Within an irreducible unitary two-particle representation of the Poincare group, the commutation relations of the Poincare group require that the two-particle states be momentum entangled. As in gauge theories, momentum entanglement defines a correlation between two particles that can be described as an interaction provided by the exchange of virtual (gauge) quanta. The coupling constant of this interaction is uniquely determined by the structure of the irreducible two-particle state space. For two massive spin one-half particles, the coupling constant matches the empirical value of the electromagnetic coupling constant.