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arxiv: 1312.4795 · v1 · submitted 2013-12-17 · ✦ hep-th · astro-ph.CO· gr-qc· hep-ph· quant-ph

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Quantum Compositeness of Gravity: Black Holes, AdS and Inflation

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classification ✦ hep-th astro-ph.COgr-qchep-phquant-ph
keywords inflationaryquantumblackholesmetricbeyondconstituentcosmological
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Gravitational backgrounds, such as black holes, AdS, de Sitter and inflationary universes, should be viewed as composite of N soft constituent gravitons. It then follows that such systems are close to quantum criticality of graviton Bose-gas to Bose-liquid transition. Generic properties of the ordinary metric description, including geodesic motion or particle-creation in the background metric, emerge as the large-N limit of quantum scattering of constituent longitudinal gravitons. We show that this picture correctly accounts for physics of large and small black holes in AdS, as well as reproduces well-known inflationary predictions for cosmological parameters. However, it anticipates new effects not captured by the standard semi-classical treatment. In particular, we predict observable corrections that are sensitive to the inflationary history way beyond last 60 e-foldings. We derive an absolute upper bound on the number of e-foldings, beyond which neither de Sitter nor inflationary Universe can be approximated by a semi-classical metric. However, they could in principle persist in a new type of it quantum eternity state. We discuss implications of this phenomenon for the cosmological constant problem.

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