Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry

Abstract

Using non-extensive statistical mechanics, the Bekenstein-Hawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the Barbero-Immirzi parameter$(\gamma )$. The arbitrariness of $\gamma$ is encoded in the strength of the "bias" created in the horizon microstates through the coupling with the quantum geometric fields exterior to the horizon. An experimental determination of $\gamma$ will fix this coupling, leaving out the macroscopic area of the black hole to be the only free quantity of the theory.

arXiv comment6 pages, published version

References in corpus (19)

• Logarithmic correction to the Bekenstein-Hawking entropy
• Dynamical foundations of nonextensive statistical mechanics
• Rényi entropy and the thermodynamic stability of black holes
• A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy
• Quantum Black Hole Entropy
• Black hole entropy and isolated horizons thermodynamics
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Is Barbero's Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?
• A Real Polynomial Formulation of General Relativity in terms of Connections
• Renormalization and black hole entropy in Loop Quantum Gravity
• Yang-Mills analogues of the Immirzi ambiguity
• Entropy of Non-Extremal Black Holes from Loop Gravity
• Nonadditive entropy for random quantum spin-S chains
• Schwarzschild horizon dynamics and SU(2) Chern-Simons theory
• The reality conditions for the new canonical variables of General Relativity
• Regge calculus and Ashtekar variables
• The Microcanonical Entropy of Quantum Isolated Horizon, `quantum hair' $N$ and the Barbero-Immirzi parameter fixation
• Black Hole Entropy from indistinguishable quantum geometric excitations
• Conformal blocks on a 2-sphere with indistinguishable punctures and implications on black hole entropy

Cited by in corpus (62)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Early and late universe holographic cosmology from a new generalized entropy
• A Note on Tsallis Holographic Dark Energy
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Thermodynamics in Rastall Gravity with Entropy Corrections
• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• Observational constraints on interacting Tsallis holographic dark energy models
• Tsallis holographic dark energy in the brane cosmology
• Modified cosmology from the thermodynamics of apparent horizon
• Alternative entropies and consistent black hole thermodynamics
• The extended uncertainty principle inspires the Rényi entropy
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• New entropies, black holes, and holographic dark energy
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Cosmological perturbations in the Tsallis holographic dark energy scenarios
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism
• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Loop Quantum Gravity Immirzi parameter and the Kaniadakis statistics
• Tsallis holographic dark energy in Fractal Universe
• Inflation in the Rényi cosmology
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Note on Tsallis holographic dark energy in Brans-Dicke cosmology
• Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe
• Modified cosmology from quantum deformed entropy
• Study of Tsallis holographic dark energy model in the framework of Fractal cosmology
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• Interacting Tsallis holographic dark energy in higher dimensional Cosmology
• A Scale-invariant Generalization of the Rényi Entropy, Associated Divergences and their Optimizations under Tsallis' Nonextensive Framework
• Entanglement rates for Renyi, Tsallis and other entropies
• Tsallis uncertainty
• Generalized black hole entropy in two dimensions
• Rényi Holographic Dark Energy
• Tsallis' entropy, modified Newtonian accelerations and the Tully-Fisher relation
• Tsallis holographic dark energy under Complex form of Quintessence model
• On the uniqueness theorem for pseudo-additive entropies
• Quantum and Classical Information Theory with Disentropy
• Black holes quasinormal modes, Loop Quantum Gravity Immirzi parameter and nonextensive statistics
• The spectrum of Hawking radiation in Tsallis statistical mechanics
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Exploring the Effects of Generalized Entropy onto Bardeen Black Hole Surrounded by Cloud of Strings
• Exploring Modifications to FLRW Cosmology with General Entropy and Thermodynamics: A new Approach
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Constraints on Generalized Gravity-Thermodynamic Cosmology from DESI DR2
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Holographic bounce cosmological models induced by viscous dark fluid from a generalized non-singular entropy function
• H0 tension in Tsallis and Renyi statistics
• Multicomponent holographic dark energy model with generalized entropy
• Thermodynamic and observational implications of black holes in toroidal geometry
• Energy-time uncertainty relation from entropy measures
• Embolic aspects of black hole entropy
• Singularity softening and avoidance by the action of thermal radiation in a generalized entropic cosmology
• Modified Cosmology from Mass-to-Horizon Relation: Background Evolution