The Coulomb solution as a coherent state of unphysical photons

TL;DR

This paper models the Coulomb solution as a coherent state of unphysical photons within a quantum electromagnetic framework, providing insights into black hole micro-states and entropy.

Contribution

It introduces a novel interpretation of the Coulomb solution as a coherent state of unphysical photons in a quantized electromagnetic field with negative norm states.

Findings

Coulomb solution represented as a coherent state of unphysical photons

Quantization includes negative norm states

Provides a toy model for black hole micro-states

Abstract

In the context of the problem of what micro-states are responsible for the entropy of black holes, we consider as a physical toy model the electromagnetic Coulomb solution. By quantizing the electromagnetic field in the presence of an external source of charge Q, the quantum state corresponding to the Coulomb solution is identified as a coherent state of longitudinal and temporal photons in a Hilbert space with negative norm states.