English

Gravitation, Thermodynamics, and the Bound on Viscosity

General Relativity and Quantum Cosmology 2014-11-20 v1 High Energy Astrophysical Phenomena High Energy Physics - Theory

Abstract

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein gravity dual, the AdS/CFT correspondence predicts a universal value for the ratio of the shear viscosity to the entropy density, η/s=1/4π\eta/s=1/4\pi. It was conjectured recently that all fluids conform to the lower bound η/s1/4π\eta/s \geq 1/4\pi. This {\it conjectured} bound has been the focus of much recent attention. However, despite the flurry of research in this field we still lack a proof for the general validity of the bound. In this essay we show that this mysterious bound is actually a direct outcome of the interplay between gravity, quantum theory, and thermodynamics.

Keywords

Cite

@article{arxiv.0905.4113,
  title  = {Gravitation, Thermodynamics, and the Bound on Viscosity},
  author = {Shahar Hod},
  journal= {arXiv preprint arXiv:0905.4113},
  year   = {2014}
}

Comments

6 pages. This essay received the Third Award in the Annual Essay Competition of the Gravity Research Foundation for the year 2009

R2 v1 2026-06-21T13:05:54.392Z