Black Hole Entropy and Exclusion Statistics
نویسندگان
چکیده
We compute the entropy of systems of quantum particles satisfying the fractional exclusion statistics in the space-time of 2+1 dimensional black hole by using the brick-wall method. We show that the entropy of each effective quantum field theory with a Planck scale ultraviolet cutoff obeys the area law, irrespective of the angular momentum of the black hole and the statistics interpolating between Bose-Einstein and Fermi-Dirac statistics.
منابع مشابه
The phase transition of corrected black hole with f(R) gravity
In this letter, we consider static black hole in f(R) gravity.We take advantage from corrected entropy and temperature and investigate such black hole. Finally, we study the $ P - V $ critically and phase transition of corrected black hole with respect to entropy and temperature. Here also, we obtain the heat capacity for the static black hole in $ f(R) $ gravity. This calculation help us...
متن کاملFractal Statistics and Quantum Black Hole Entropy
Simple considerations about the fractal characteristic of the quantummechanical path give us the opportunity to derive the quantum black hole entropy in connection with the concept of fractal statistics. We show the geometrical origin of the numerical factor of four of the quantum black hole entropy expression and the statistics weight appears as a counting of the quanta of geometry. PACS numbe...
متن کاملHolographic Quantum Statistics from Dual Thermodynamics
We propose dual thermodynamics corresponding to black hole mechanics with the identifications E → A/4, S → M , and T ′ → T−1 in Planck units. Here A, M and T are the horizon area, mass and Hawking temperature of a black hole and E, S and T ′ are the energy, entropy and temperature of a corresponding dual quantum system. We show that, for a Schwarzschild black hole, the dual variables formally s...
متن کاملar X iv : 1 40 5 . 20 46 v 1 [ he p - th ] 8 M ay 2 01 4 The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
In this paper we investigate statistics entropy of a 3-dimensional rotating acoustic black hole based on generalized uncertainty principle. In our results we obtain an area entropy and a correction term associated with the noncommutative acoustic black hole when λ introduced in the generalized uncertainty principle takes a specific value. However, in this method, is not need to introduce the ul...
متن کاملEntropy growth in the early universe , and the search for determining if gravity is classical or quantum , part I ( Confirmation of initial big bang conditions ?
Andrew Beckwith [email protected], [email protected] PACs: 98.80.Cq, 95.35.+d, 95.30.Sf, 65.40.gd, 11.25.Uv Abstract We begin our inquiry by asking two questions. First, is there an approximate match up between the total entropy of the universe, and the sum total of entropy between super massive black holes at the center of spiral galaxies? Note that Sean Carroll in 2005 presented a black hole ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998