Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How Objective is Black Hole Entropy?   The objectivity of black hole entropy is discussed in the particular case of
a Schwarzchild black hole. Using Jaynes' maximum entropy formalism and
Euclidean path integral evaluation of partition function, it is argued that in
the semiclassical limit when the fluctutation of metric is neglected, the black
hole entropy of a Schwarzchild black hole is equal to the maximal information
entropy of an observer whose sole knowledge of the black hole is its mass.
Black hole entropy becomes a measure of number of its internal mass eigenstates
in accordance with the Boltzmann principle only in the limit of negligible
relative mass fluctutation. {}From the information theoretic perspective, the
example of a Schwarzchild black hole seems to suggest that black hole entropy
is no different from ordinary thermodynamic entropy. It is a property of the
experimental data of a black hole, rather than being an intrinsic physical
property of a black hole itself independent of any observer. However, it is
still weakly objective in the sense that different observers given the same set
of data of a black hole will measure the same maximal information entropy.

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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph