Linking loop quantum gravity quantization ambiguities with phenomenology

TL;DR

This paper explores how different quantization choices in loop quantum gravity affect particle dispersion relations, providing potential phenomenological tests to distinguish between these quantum gravity models.

Contribution

It links quantization ambiguities in loop quantum gravity with observable phenomenological predictions, highlighting how different schemes influence particle dispersion relations.

Findings

Quantization choices impact modified dispersion relations.

Different Immirzi parameters lead to distinct phenomenological outcomes.

Potential for experimental tests to differentiate quantization schemes.

Abstract

Fundamental quantum gravity theories are known to be notoriously difficult to extract viable testable predictions out of. In this paper, we aim to incorporate putative quantum corrections coming from loop quantum gravity in deriving modified dispersion relations for particles on a deformed Minkowski spacetime. We show how different choices of the Immirzi parameter can, in some cases, serendipitously lead to different outcomes for such modifications, depending on the quantization scheme chosen. This allows one to differentiate between these quantization choices via testable phenomenological predictions.