This states that black holes cannot be distinguished except for their mass, charge and angular momentum. In other words, entropy cannot simply vanish and therefore black holes. Black holes are said to obey a ‘nohair’ theorem. So when we chuck our little object into the black hole, its entropy must go somewhere. Department of Theoretical Physics, Tata Institute of. It canīe readily demonstrated that Bekenstein‐Hawking black hole entropy is nonextensive, while the Hawking and the Unruh temperatures are nonintensive. with Hawking’s theorem is to set the black hole entropy proportional to the area of the event horizon itself. Black hole entropy in string theory - A window into the quantum structure of gravity. In this regard, black holes are hypothesized to be large systems, characterized by the Schwarzschild radius ( r s= 2 GM/ c 2)Īnd its associated “horizon” area ( A = 4π r s 2), where G, M, and c represent the universal constant of gravitation, the mass of the black hole, and the speed of light in vacuum, respectively. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central. This explains why ensembles comprised of just a few atoms cannot be considered thermodynamic systems.
These rules must be observed whenever a system is large enough to be characterized by macroscopic quantities, Similarly, entropy must remain extensive, in order to conform to the second law. Otherwise, the very definition of temperature is compromised. Go inside a black hole (from where you cannot come back) - the 2nd law. Intensive, a requirement set by the 0th law. Here he suggests that because of increasing entropy, it is impossible to go back. It is for this reason that quantities of thermodynamic relevance must retain their character wherever they appear. Total entropy outside the black hole (which is all that we are capable of measuring) would go downa clear violation of the second law of thermodynamics. The laws of thermodynamics play a central role in scientific inquiry, guiding physics as to the validity of hypothesized claims.
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