Universal canonical entropy for gravitating systems |
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Authors: | Ashok Chatterjee Parthasarathi Majumdar |
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Institution: | (1) Theory Group, Saha Institute of Nuclear Physics, 700 064 Kolkata, India |
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Abstract: | The thermodynamics of general relativistic systems with boundary, obeying a Hamiltonian constraint in the bulk, is determined
solely by the boundary quantum dynamics, and hence by the area spectrum. Assuming, for large area of the boundary, (a) an
area spectrum as determined by non-perturbative canonical quantum general relativity (NCQGR), (b) an energy spectrum that
bears a power law relation to the area spectrum, (c) an area law for the leading order microcanonical entropy, leading thermal
fluctuation corrections to the canonical entropy are shown to be logarithmic in area with a universal coefficient. Since the
microcanonical entropy also has universal logarithmic corrections to the area law (from quantum space-time fluctuations, as
found earlier) the canonical entropy then has a universal form including logarithmic corrections to the area law. This form
is shown to be independent of the index appearing in assumption (b). The index, however, is crucial in ascertaining the domain
of validity of our approach based on thermal equilibrium. |
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Keywords: | Entropy canonical microcanonical black hole |
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