Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics

• URL: http://arxiv.org/abs/2107.04789v1
• Date: Sat, 10 Jul 2021 08:09:03 GMT
• Title: Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
• Authors: S. Jalalzadeh, F. Rodrigues da Silva and P. V. Moniz
• Abstract summary: This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. We retrieve the corresponding expressions for specific observables. Namely, the black hole mass spectrum, $M$, its temperature $T$, and entropy, $S$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective of black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as our main tool. Moreover, we restrict our analysis to the case of a Schwarzschild configuration. From a subsequently modified Wheeler-DeWitt equation, we retrieve the corresponding expressions for specific observables. Namely, the black hole mass spectrum, $M$, its temperature $T$, and entropy, $S$. We find that these bear consequential alterations conveyed through a fractional parameter, $\alpha$. In particular, the standard results are recovered in the specific limit $\alpha=2$. Furthermore, we elaborate how generalizations of the entropy-area relation suggested by Tsallis and Cirto \cite{Tsallis} and Barrow \cite{Barrow} acquire a complementary interpretation in terms of a fractional point of view. A thorough discussion of our results is presented.

Related papers

• Quantum Entanglement on Black Hole Horizons in String Theory and Holography [0.0]
  We compute the exact one-loop partition function of $mathbbZ_N$ orbifolds of Euclidean BTZ black hole. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$.
  arXiv  Detail & Related papers  (2023-12-21T19:11:57Z)
• Quantum tomography of helicity states for general scattering processes [55.2480439325792]
  Quantum tomography has become an indispensable tool in order to compute the density matrix $rho$ of quantum systems in Physics. We present the theoretical framework for reconstructing the helicity quantum initial state of a general scattering process.
  arXiv  Detail & Related papers  (2023-10-16T21:23:42Z)
• Quantum thermodynamics of de Sitter space [49.1574468325115]
  We consider the local physics of an open quantum system embedded in an expanding three-dimensional space. For a de Sitter space with Hubble parameter $h = $ const., the background fields act as a physical heat bath.
  arXiv  Detail & Related papers  (2023-07-10T18:00:09Z)
• Holographic Quantum Scars [0.0]
  We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct scarred states. A geometrical interpretation allows us to compute the expectation value of the stress tensor and entanglement entropy of these scarred states. We identify fixed points on the CFT plane associated with divergent or vanishing entanglement entropy in the limit where the scarred states have infinite energy.
  arXiv  Detail & Related papers  (2022-12-12T15:17:49Z)
• Reflected entropy in random tensor networks II: a topological index from the canonical purification [0.0]
  We show that the reflected entanglement spectrum is controlled by representation theory of the Temperley-Lieb algebra. We provide a gravitational interpretation in terms of fixed-area, higher-genus multiboundary wormholes with genus $2k-1$ initial value slices.
  arXiv  Detail & Related papers  (2022-10-26T20:03:29Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)
• Shape Invariant Potentials in Supersymmetric Quantum Cosmology [0.0]
  shape invariant potentials is an essential feature in many settings of $N=2$ supersymmetric quantum mechanics. We show how shape in property can be employed to bring a relation among several factor orderings choices for our Schr"odinger-Wheeler-DeWitt equation.
  arXiv  Detail & Related papers  (2022-05-31T19:51:21Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Eigenstate thermalization hypothesis through the lens of autocorrelation functions [0.0]
  Matrix elements of observables in eigenstates of generic Hamiltonians are described by the Srednicki ansatz. We study a quantum chaotic spin-fermion model in a one-dimensional lattice.
  arXiv  Detail & Related papers  (2020-11-27T19:05:32Z)
• Quantum particle across Grushin singularity [77.34726150561087]
  We study the phenomenon of transmission across the singularity that separates the two half-cylinders. All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection. This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
  arXiv  Detail & Related papers  (2020-11-27T12:53:23Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.