| Issue |
EPL
Volume 137, Number 4, February 2022
|
|
|---|---|---|
| Article Number | 49002 | |
| Number of page(s) | 3 | |
| Section | Gravitation, cosmology and astrophysics | |
| DOI | https://doi.org/10.1209/0295-5075/ac3291 | |
| Published online | 26 April 2022 | |
On the role of Barrow's fractal entropy in the loop quantum gravity Barbero-Immirzi parameter
1 Departamento de Física, Universidade Federal Rural do Rio de Janeiro - 23890-971, Seropédica, RJ, Brazil
2 Departamento de Física, Universidade Federal de Juiz de Fora - 36036-330, Juiz de Fora, MG, Brazil
3 Programa de Pós- Graduação Interdisciplinar em Física Aplicada, Instituto de Física, Universidade Federal do Rio de Janeiro - 21941-972, Rio de Janeiro, RJ, Brazil
(a) evertonabreu@ufrrj.br (corresponding author)
(b) jorge@fisica.ufjf.br
Received: 6 July 2021
Accepted: 22 October 2021
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.
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