Linking loop quantum gravity quantization ambiguities with phenomenology

Antonino Marciano; Giovanni Amelino-Camelia; Michele Ronco; Suddhasattwa Brahma

Linking loop quantum gravity quantization ambiguities with phenomenology

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arxiv 1610.07865 v1 pith:3YQKPLZC submitted 2016-10-25 gr-qc hep-th

Linking loop quantum gravity quantization ambiguities with phenomenology

Suddhasattwa Brahma , Michele Ronco , Giovanni Amelino-Camelia , Antonino Marciano This is my paper

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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.

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Geometric Constraints on Quantum Gravity-Inspired Dispersion Relations
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All major Loop Quantum Gravity dispersion relations pass a curvature-based hyperbolicity test, while logarithmic, exponential, and trigonometric MDRs receive new no-decay and stability bounds.