Phenomenology of effective geometries from quantum gravity
Ricardo Gallego Torrom\'e, Marco Letizia, Stefano Liberati

TL;DR
This paper explores how effective geometries emerge from quantum gravity, showing that such frameworks typically do not produce higher-order dispersion relations and must be highly classical to align with current observations.
Contribution
It extends previous work on quantum gravity-induced space-time emergence, demonstrating the general absence of higher-order dispersion relations in matter sectors.
Findings
Emergence of classical space-time geometries from quantum gravity.
Lack of higher-order modified dispersion relations in generic scenarios.
Space-time must be nearly classical to satisfy observational constraints.
Abstract
In a recent paper (arXiv:1412.6000) a general mechanism for emergence of cosmological space-time geometry from a quantum gravity setting was devised and departure from standard dispersion relations for elementary particle were predicted. We elaborate here on this approach extending the results obtained in that paper and showing that generically such a framework will not lead to higher order modified dispersion relations in the matter sector. Furthermore, we shall discuss possible phenomenological constraints to this scenarios showing that space-time will have to be by nowadays classical to a very high degree in order to be consistent with current observations.
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