Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics of Local Causal Horizons   We propose an expression for the entropy density associated with the Local
Causal Horizons in any diffeomorphism invariant theory of gravity. If the
black-hole entropy of the theory satisfies the physical process version of the
first law of thermodynamics then our proposed entropy satisfies the Clausius
relation. Thus, our study shows that the thermodynamic nature of the spacetime
horizons is not restricted to the black holes; it also applies to the local
causal horizons in the neighborhood of any point in the spacetime.

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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess