Recognition: unknown
Thermodynamics of Spacetime: The Einstein Equation of State
read the original abstract
The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ 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 $\delta Q$ 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 9 Pith papers
-
Frame invariant diffusive formulation of scalar-tensor gravity
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
-
Holographic duality from a four-fermion interaction: emergent AdS$_3$/CFT$_2$, D-branes, and Einstein gravity
The bosonic AdS3/CFT2 duality emerges from the Gross-Neveu model via higher-spin composites and fluctuations in competing spin-0 and spin-1 condensates that define the radial bulk coordinate.
-
Minimal noise in non-quantized gravity
Non-quantized gravity models that preserve Galilean invariance and reproduce Newtonian interaction on average require a minimal noise injection to remain non-entangling.
-
Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity
SU(∞)-QGR yields an Einstein-like energy-momentum constraint that includes spin-1 gravitons and treats inflation and accelerating expansion as order parameters tracking the evolution of the universe's quantum states u...
-
Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Tsallis entropy for RN black holes produces three thermodynamic branches with mean-field phase transitions whose signatures appear in photon-sphere optical observables.
-
Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a...
-
Uncertainty Principles and Maximum Entropic Force
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.
-
Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Tsallis statistics applied to Reissner-Nordström black holes yields a generalized entropy leading to Van der Waals-like phase transitions whose critical behavior is reflected in photon-sphere observables.
-
Emergence of Complex Structures
Coarse-grained spatial ordering can increase during structure formation even as full phase-space entropy grows through nonlocal transport, Jacobian-governed density amplification, and activation of lower free-energy b...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.