On the role of Barrow's fractal entropy in the loop quantum gravity Barbero-Immirzi parameter

Abstract It is claimed that, using the Boltzmann-Gibbs statistical mechanics together with the Bekenstein-Hawking area entropy law, it is possible to determine a value for the Barbero-Immirzi parameter, . In this letter, we have shown that if we use Barrow's entropy rather than Bekenstein-Hawki...

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Bibliographic Details
Published inEurophysics letters Vol. 137; no. 4; pp. 49002 - 49004
Main Authors Abreu, Everton M. C., Neto, Jorge Ananias
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.02.2022
IOP Publishing
Subjects
Entropy
Parameters
Quantum gravity
Statistical mechanics
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Summary:Abstract It is claimed that, using the Boltzmann-Gibbs statistical mechanics together with the Bekenstein-Hawking area entropy law, it is possible to determine a value for the Barbero-Immirzi parameter, . In this letter, we have shown that if we use Barrow's entropy rather than Bekenstein-Hawking's area entropy law then the Barbero-Immirzi parameter will depend on the Δ parameter. As a consequence, the loop quantum gravity area element will also depend on the Δ parameter.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/ac3291