Violation of the Born Rule: Implications for the Classical Electromagnetic Field

TL;DR

This paper explores how violating the Born Rule could disrupt the fundamental link between quantum and classical electromagnetic fields, potentially causing deviations from energy conservation laws like Poynting's Theorem.

Contribution

It demonstrates that the Born Rule is essential for maintaining the correspondence between quantum states and classical electromagnetic fields.

Findings

Violating the Born Rule affects the quantum-classical correspondence.

Potential deviations from energy conservation in electromagnetic fields.

Highlights the fundamental role of the Born Rule in physics.

Abstract

It is shown that violation of the Born Rule leads to a breakdown of the correspondence between the quantum electromagnetic field and its classical counterpart. Specifically, the relationship of the quantum coherent state to the classical electromagnetic field turns out to imply that if the Born Rule were violated, this could result in apparent deviations from the energy conservation law applying to the field and its sources (Poynting's Theorem). The result suggests that the Born Rule is just as fundamental a law of Nature as are the conservation laws.