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Equipartition energy, Noether energy and boundary term in gravitational action
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In the study of horizon thermodynamics and emergent gravity two natural expressions for energy, E= 2 TS (equipartition energy) and E=TS (Noether energy) arise which differ by a factor 2. I clarify the role of these two expressions in different contexts and show how E=TS is also closely related to the Noether charge arising from the boundary term of the Einstein-Hilbert action.
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Cited by 2 Pith papers
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Gravity and Quantum Theory: Domains of Conflict and Contact
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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Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics
A two-parameter mass-to-horizon entropy extension yields the Friedmann equation via Clausius and modified thermodynamics while satisfying entropy maximization and stable fluctuations.
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