Lorentz Invariance and the semiclassical approximation of loop quantum gravity

TL;DR

This paper demonstrates that the effective field equations for Maxwell and gravitational fields in the semiclassical limit of loop quantum gravity are Lorentz invariant, aligning with observational evidence.

Contribution

It shows Lorentz invariance of the effective field equations derived from loop quantum gravity using rotational invariant states.

Findings

Field equations are Lorentz invariant in the semiclassical approximation.

Lorentz invariance is consistent with observational evidence.

Uses geometrical properties of electromagnetic fields in the derivation.

Abstract

It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states) are Lorentz invariant. To derive this result, which is in agreement with the observational evidence, we use the geometrical properties of the electromagnetic field.