https://doi.org/10.1140/epjp/s13360-025-07168-1
Regular Article
Barrow black hole variable parameter model and information theory
1
Physics Department, Universidade Federal Rural do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
2
Applied Physics Graduate Program, Physics Institute, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
3
Physics Department, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil
Received:
19
August
2025
Accepted:
5
December
2025
Published online:
7
January
2026
One of the greatest challenges of theoretical physics today is to unveil the quantum information theory concerning what happens when one bit of information enters the black hole (BH) horizon. The Landauer principle showed that a certain amount of energy is generated when one-bit of information is erased as it enters the event horizon system. In this paper we used the recently developed Barrow BH model to calculate the addition to the area of the event horizon of his toy model by using the Landauer concept. Besides we make this computation considering 
as a constant and a variable parameter. We formulate the Barrow parameter () as a function of the energy/mass, which is new in the Barrow BH literature. We will investigate the differences between the Bekenstein–Hawking entropy (
) and the fractal (
) cases concerning the addition in the area of the BH. The asymptotical analysis is also mentioned and we will see that it affects only the fractal case. All the results accomplished here are new concerning BHs in general and the Barrow model literature in particular.
Mathematics Subject Classification: 03.67.-a / 04.70.Dy / 04.70.-s
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
