Effect of Modified Dispersion Relations on Immirzi Parameter

TL;DR

This paper explores how modified dispersion relations in loop quantum gravity influence black hole entropy calculations and the Immirzi parameter, highlighting potential inconsistencies between different approaches.

Contribution

It proposes an explanation for discrepancies in black hole entropy calculations by examining the impact of modified dispersion relations on the Immirzi parameter.

Findings

Modified dispersion relations can affect the constancy of the Immirzi parameter.

Inconsistencies between microstate counting and dispersion relation approaches are discussed.

Potential effects on the definition of black hole entropy in loop quantum gravity.

Abstract

Black hole entropy calculations which are based on counting of microstates and based on modified dispersion relations in the framework of loop quantum gravity are considered. We suggest that the inconsistency of two approaches can be explained by different ways. This inconsistency can affect the definition and constancy of the Immirzi parameter or order of the modification constants of dispersion relations. Possible results of these effects are discussed.