From black holes to emergent gravity

Abstract

Many inequivalent approaches to study black holes yield identical results. Any meaningful theory of gravity should explain the origin of this property. Here we show that the basic holomorphic modes characterising the underlying two dimensional conformal symmetry near the horizon bring about this universality. Moreover these modes lead to a law of equipartition of energy for black holes which suggests a statistical origin of gravity. This emergent nature of gravity is further bolstered by showing the equivalence of entropy with the action $\left(S=-\frac{i}{\hslash }I\right)$ and expressing the generalised Smarr formula for mass as a thermodynamic relation, $S=\frac{E}{2T}$ where $S$, $E$ and $T$ are the entropy, energy and temperature, respectively, of a black hole.

Latex, 6 pages, Gravity Research Foundation essay 2010 (Received Honorable Mention)

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Cited by in corpus (9)

• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• A holographic map of action onto entropy
• Backreaction due to quantum tunneling and modification to the black hole evaporation process
• Entropic gravity versus gravitational pseudotensors in static spherically symmetric spacetimes
• Emergent quantum mechanics as a classical, irreversible thermodynamics
• Black Hole Entropy: From Shannon to Bekenstein
• An entropic picture of emergent quantum mechanics
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• Thermodynamics of Black Holes: Semi-Classical Approaches and Beyond