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Physical Review Letters
Article . 1995 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
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zbMATH Open
Article . 1995
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 1995
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Thermodynamics of Spacetime: The Einstein Equation of State

Thermodynamics of spacetime: The Einstein equation of state
Authors: Jacobson, Ted;

Thermodynamics of Spacetime: The Einstein Equation of State

Abstract

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $δQ=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with $δQ$ and $T$ interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air.

8 pages, 1 figure. Revised version has core unchanged but paper rewritten and expanded to clarify the reasoning and to emphasize some points. One figure added

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Black holes, FOS: Physical sciences, Methods of quantum field theory in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Quantization of the gravitational field, General Relativity and Quantum Cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2K
Top 0.1%
Top 0.1%
Top 10%
Green
bronze