Gravity as elasticity of spacetime: a paradigm to understand horizon thermodynamics and cosmological constant

Details Gravity as elasticity of spacetime: a paradigm to understand horizon thermodynamics and cosmological constant Gravity as elasticity of spacetime: a paradigm to understand horizon thermodynamics and cosmological constant

2004-08-17

arxiv.org/abs/gr-qc/0408051v1

Int.J.Mod.Phys. D13 (2004) 2293-2298

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This essay received an ``honorable mention'' in the 2004 Essay Competition of the Gravity Research Foundation; accepted for pu

Scientific paper

10.1142/S0218271804006358

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, $l\gg (G\hbar/c^3)^{1/2}$. The long wave length description of spacetime, based on Einstein's equations, is similar to the description of a continuum solid made of a large number of microscopic degrees of freedom. This paradigm provides a novel interpretation of coordinate transformations as deformations of "spacetime solid" and allows one to obtain Einstein's equations as a consistency condition in the long wavelength limit. The entropy contributed by the microscopic degrees of freedom reduces to a pure surface contribution when Einstein's equations are satisfied. The horizons arises as "defects" in the "spacetime solid" (in the sense of well defined singular points) and contributes an entropy which is one quarter of the horizon area. Finally, the response of the microstructure to vacuum energy leads to a near cancellation of the cosmological constant, leaving behind a tiny fluctuation which matches with the observed value.

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