A q-parameter bound for particle spectra based on black hole thermodynamics with Rényi-entropy

Abstract

By regarding the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its formal logarithm, the Rényi entropy, is considered. The resulting temperature - horizon-radius relation has the same form as the one obtained from a 3+1-dimensional black hole in anti-de Sitter space using the original entropy formula. In both cases the temperature has a minimum. A semi-classical estimate of the horizon radius at this minimum leads to a Bekenstein bound for the q-parameter in the Rényi entropy of micro black holes, (q >= 1 + 2/pi^2), which is surprisingly close to fitted q-parameters of cosmic ray spectra and power-law distribution of quarks coalescing to hadrons in high energy accelerator experiments.

5 pages, 1 figure, to be published in Phys. Lett. B. arXiv admin note: text overlap with arXiv:1011.3442

References in corpus (10)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Hawking radiation from ultrashort laser pulse filaments
• Holographic Phase Transitions with Fundamental Matter
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Holographic Phases of Renyi Entropies
• Conformal Holography of Bulk Elliptic Flow and Heavy Quark Quenching in Relativistic Heavy Ion Collisions
• Renyi entropies of a black hole from Hawking radiation
• Entropy of gravitating systems: scaling laws versus radial profiles
• The Efficiency of Gravitational Bremsstrahlung Production in the Collision of Two Schwarzschild Black Holes

Cited by in corpus (69)

• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Thermodynamic approach to holographic dark energy and the Rényi entropy
• Rényi entropy and the thermodynamic stability of black holes
• Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Accelerated cosmos in a non-extensive setup
• Generalized entropies and corresponding holographic dark energy models
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• Thermodynamics in Rastall Gravity with Entropy Corrections
• Tsallis holographic dark energy in the brane cosmology
• The extended uncertainty principle inspires the Rényi entropy
• Kaniadakis Holographic Dark Energy in non-flat Universe
• Baryogenesis in non-extensive Tsallis Cosmology
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• $P-v$ criticalities, phase transitions and geometrothermodynamics of charged AdS black holes from Kaniadakis statistics
• q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
• Statistical approaches on the apparent horizon entropy and the generalized second law of thermodynamics
• Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Inflation in the Rényi cosmology
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Consistent nonadditive approach and nuclear equation of state
• On the equipartition theorem and black holes nongaussian entropies
• Extended $\Lambda$CDM model
• Relative information entropy in cosmology: The problem of information entanglement
• Non-extensive Statistical Mechanics and the Thermodynamic Stability of FRW Universe
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Topology of black hole thermodynamics via Rényi statistics
• Study of Tsallis holographic dark energy model in the framework of Fractal cosmology
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Offshell thermodynamic metrics of the Schwarzschild black hole
• Nonextensive entropies impact onto thermodynamics and phase structure of Kerr-Newman black holes
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Rényi Holographic Dark Energy
• Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law
• Thermodynamic phase transition based on the non-singular temperature
• Black hole horizons can hide positive heat capacity
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• Holographic Rényi Entropy and Generalized Entropy method
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Look beyond additivity and extensivity of entropy for black hole and cosmological horizons
• Volume dependent extension of Kerr-Newman black hole thermodynamics
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• The Rényi holographic dark energy model in Chern-Simons gravity: some cosmological implications
• Interacting and Non-interacting Reńyi Holographic Dark Energy Models in DGP Braneworld
• On superstatistics and black hole quasinormal modes
• Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes
• Rényi Holographic Dark Energy Models In Multidimensional Universe
• Regularized Black Hole Solution from a New String Cloud Source
• Phase space analysis of Rényi Holographic dark energy model
• Hawking-Rényi thermodynamics of rotating black holes from locally Kiselev-type behavior