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Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity

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arxiv 1003.5665 v2 pith:JG64DOAC submitted 2010-03-29 gr-qc astro-ph.COhep-th

T. Padmanabhan This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords entropydegreesfreedomspacetimedensitysurfacetheoryallows
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I show that the principle of equipartition, applied to area elements of a surface which are in equilibrium at the local Davies-Unruh temperature, allows one to determine the surface number density of the microscopic spacetime degrees of freedom in any diffeomorphism invariant theory of gravity. The entropy associated with these degrees of freedom matches with the Wald entropy for the theory. This result also allows one to attribute an entropy density to the spacetime in a natural manner. The field equations of the theory can then be obtained by extremising this entropy. Moreover, when the microscopic degrees of freedom are in local thermal equilibrium, the spacetime entropy of a bulk region resides on its boundary.

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Cited by 4 Pith papers

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    A scale-dependent Barrow-Tsallis entropy cosmology fits cosmic data but is statistically disfavored versus ΛCDM, with only a modest and partially circular Hubble-tension 'alleviation'.

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    Stress-tensor deformations of QFTs are mapped to gravitational actions at metric saddles, with bidirectional examples and an induced Newton constant from the one-loop effective action of a massive scalar.

  3. Boundary Term in the Gravitational Action is the Heat Content of the Null surfaces

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  4. Gravity and Quantum Theory: Domains of Conflict and Contact

    gr-qc 2019-09 conditional novelty 4.0 of 10

    A review that uses horizon thermality and invariance under vacuum-energy shifts to argue that gravity is thermodynamic, with a predicted cosmological constant.

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