Loop quantum gravity Immirzi parameter and the Kaniadakis statistics

Everton M.C. Abreu, Jorge Ananias Neto, Albert C.R. Mendes and Rodrigo M. de Paula

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 307-310

Abstract: In this letter we show that a possible connection between the LQG Immirzi parameter and the area of a punctured surface can emerge depending on the thermostatistics theory previously chosen. Starting from the Boltzmann–Gibbs entropy, the Immirzi parameter can be reobtained. Using the Kaniadakis statistics, which is an important non-Gaussian statistics, we derive a new relation between the Immirzi parameter, the kappa parameter and the area of a punctured surface. After that, we compare our result with the Immirzi parameter previously obtained in the literature within the context of Tsallis’ statistics. We demonstrate in an exact way that the LQG Immirzi parameter can also be used to compare both Kaniadakis and Tsallis statics.

Keywords: Immirzi parameter; Kaniadakis statistics; Tsallis statistics (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:118:y:2019:i:c:p:307-310

DOI: 10.1016/j.chaos.2018.11.033

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