Quantum states with space-like energy-momentum

TL;DR

This paper demonstrates that, contrary to common assumptions, quantum states in a Dirac-Maxwell field can have space-like energy-momentum, challenging traditional views in quantum field theory.

Contribution

It proves the existence of quantum states with space-like energy-momentum in a Dirac-Maxwell field, which was previously assumed impossible.

Findings

Quantum states with space-like energy-momentum exist in Dirac-Maxwell fields

Challenges the assumption that all quantum states have time-like energy-momentum

Provides theoretical proof for space-like energy-momentum states

Abstract

A common assumption in quantum field theory is that the energy-momentum 4-vector of any quantum state must be time-like. It will be proven that this is not the case for a Dirac-Maxwell field. In this case quantum states can be shown to exist whose energy-momentum is space-like.