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Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity

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arxiv 1904.04843 v2 pith:YTJNXPHC submitted 2019-04-09 gr-qc hep-th

classification gr-qchep-th
keywords diamondgravitytemperatureabsoluteattractionattractivenesscausalcondition
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We derive the Einstein equation from the condition that every small causal diamond is a variation of a flat empty diamond with the same free conformal energy, as would be expected for a near-equilibrium state. The attractiveness of gravity hinges on the negativity of the absolute temperature of these diamonds, a property we infer from the generalized entropy.

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