On the Lorentz invariance of the Square root Klein-Gordon Equation

TL;DR

This paper demonstrates that the Born rule conflicts with Lorentz invariance in the Square Root Klein-Gordon equation, suggesting a need to modify the rule for relativistic quantum descriptions.

Contribution

It reveals the incompatibility of Born's rule with Lorentz symmetry in the SRKG equation and proposes the necessity for its modification in relativistic quantum mechanics.

Findings

Born's rule is incompatible with Lorentz invariance in SRKG

Modification of Born's rule is required for relativistic quantum descriptions

Highlights the need for revised quantum measurement rules in relativistic regimes

Abstract

We show that the Born's rule is incompatible with Lorentz symmetry of the Square Root Klein-Gordon equation (SRKG equation). It has been demonstrated that the Born rule must be modified in relativistic regime if one wishes to keep the SRKG equation as the correct equation for describing quantum behavior.