Quantization of the Classical Maxwell-Nordstrom Fields

TL;DR

This paper presents a quantization of classical electromagnetic and gravitomagnetic fields in a five-dimensional framework, revealing their energy relations and spin properties, and extending the understanding of field quantization in higher dimensions.

Contribution

It introduces a novel quantization approach for Maxwell-Nordstrom fields in (3+2) dimensions derived from a five-dimensional Dirac equation.

Findings

Electromagnetic and gravitomagnetic energies cancel in the ground state.

Gravitomagnetic quanta possess spin 1.

The total field energy is linked to a component of the five-dimensional energy-stress tensor.

Abstract

The classical electromagnetic and gravitomagnetic fields in the vacuum, in (3+2) dimensions, described by the Maxwell-Nordstrom equations, are quantized. These equations are rederived from the field tensor which follows from a five-dimensional form of the Dirac equation. The electromagnetic field depends on the customary time t, and the hypothetical gravitomagnetic field depends on the second time variable u. The total field energy is identified with the component T44 of the five-dimensional energy-stress tensor of the electromagnetic and gravitomagnetic fields. In the ground state, the electromagnetic field and the gravitomagnetic field energies cancel out. The quanta of the gravitomagnetic field have spin 1.