The Fundamental Commutator For Massless Particles

TL;DR

This paper proposes a modified commutation relation suitable for massless particles, leading to a canonical quantization of electromagnetic fields that naturally results in zero vacuum energy, addressing the vacuum catastrophe.

Contribution

It introduces an alternative to the Heisenberg commutation relation for massless particles and applies it to electromagnetic fields, eliminating the need for normal ordering.

Findings

Vacuum energy is automatically zero without normal ordering.

The approach offers a potential solution to the electromagnetic vacuum catastrophe.

Provides a new framework for quantizing massless fields.

Abstract

It is discussed that the usual Heisenberg commutation relation (CR) is not a proper relation for massless particles and then an alternative is obtained. The canonical quantization of the free electromagnetic(EM)fields based on the field theoretical generalization of this alternative is carried out. Without imposing the normal ordering condition,the vacuum energy is automatically zero.This can be considered as a solution to the EM fields vacuum catastrophe and a step toward managing the cosmologial constant problem at least for the EM fields contribution to the state of vacuum.