Abstract
The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic gravity and constrain the deformation parameter by using observational bounds from Big Bang Nucleosynthesis and primordial abundances of the light elements {}^4 He, D, {}^7 Li. We show that our result fits with most of existing bounds on beta derived from other cosmological studies.
Highlights
Quantum Theory and General Relativity are the two best descriptions of Nature to date
The natural domain of Generalized Uncertainty Principle (GUP) is high-energy physics, the best – and, for the time being, unique - arena to quantify the magnitude of GUP corrections is low-energy regime
It should be understood the large number of attempts to constrain the GUP deformation parameter via optomechanical/interferometry experiments on one hand and gravitational/cosmological measurements on the other
Summary
Quantum Theory and General Relativity are the two best descriptions of Nature to date. C (2021) 81:1086 ent horizon of the Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime [34,35,36,37,38] This procedure has recently been proven to be quite general, being applicable in theories of gravity beyond General Relativity [39] and even in the presence of a modified entropy-area law [40]. Along this line, in [41] Friedmann equations have been derived from the GUP-modified expression of the entropy, obtaining generalized (i.e. β-dependent) relations. Besides the plethora of theoretical studies on the GUP, a research direction widely pursued in QG phenomenology is attempting to quantify the magnitude of GUP corrections by
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