Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics

Abstract

It is argued that, using the black hole area entropy law together with the Boltzmann-Gibbs statistical mechanics and the quasinormal modes of the black holes, it is possible to determine univocally the lowest possible value for the spin $j$ in the context of the Loop Quantum Gravity theory which is $j_{min}=1$. Consequently, the value of Immirzi parameter is given by $\gamma =\ln 3/(2\pi \sqrt{2})$. In this paper, we have shown that if we use Tsallis microcanonical entropy rather than Boltzmann-Gibbs framework then the minimum value of the label $j$ depends on the nonextensive $q$-parameter and may have values other than $j_{min}=1$.

8 pages, 2 figures, version accepted for publication in PLB

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Cited by in corpus (5)

• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• Statistical approaches and the Bekenstein bound conjecture in Schwarzschild black holes
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• On superstatistics and black hole quasinormal modes