Abstract
Development of quantum gravity theories rarely takes inputs from experimental physics. In this letter, we take a small step towards correcting this by establishing a paradigm for incorporating putative quantum corrections, arising from canonical quantum gravity (QG) theories, in deriving falsifiable modified dispersion relations (MDRs) for particles on a deformed Minkowski space–time. This allows us to differentiate and, hopefully, pick between several quantization choices via testable, state-of-the-art phenomenological predictions. Although a few explicit examples from loop quantum gravity (LQG) (such as the regularization scheme used or the representation of the gauge group) are shown here to establish the claim, our framework is more general and is capable of addressing other quantization ambiguities within LQG and also those arising from other similar QG approaches.
Highlights
Development of quantum gravity theories rarely takes inputs from experimental physics
We take a small step towards correcting this by establishing a paradigm for incorporating putative quantum corrections, arising from canonical quantum gravity (QG) theories, in deriving falsifiable modified dispersion relations (MDRs) for particles on a deformed Minkowski space-time
Recent results in loop quantum gravity (LQG) have discovered that the symmetries of quantum space-time are deformed compared to the gauge structure of general relativity as made explicit in the modification of the hypersurface deformation algebra (HDA)
Summary
Recent results in symmetry-reduced LQG models which, in particular, has focussed on the study of quantum. Taking the opposite direction here, we compute MDRs from a fundamental QG theory – LQG – and, contribute to bridge the gap between top-down and bottom-up approaches. From this perspective, our work is part of an ongoing effort [37, 43] aimed at characterizing the Minkowski limit of LQG, and exploring if there is any relation to non-commutative geometries [44,45,46,47] as a way to characterize the so-called spacetime fuzziness or foaminess [48,49,50,51]
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