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Cosmological quantum tunneling and holographic principle

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arxiv 1108.0682 v2 pith:T4LDTETL submitted 2011-08-02 gr-qc

Cosmological quantum tunneling and holographic principle

classification gr-qc
keywords tunnelingquantumuniversecosmologicalholographicprincipleratearises
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The probable trajectory of the ground state wave function of the universe arises through a quantum tunneling by gravitational instantons. We calculate the quantum tunneling rate for a $n>2$ dimensional closed Friedmann-Robertson-Walker universe with a positive cosmological constant. In four dimensions, by using of the holographic principle, the tunneling rate is related to the maximal entropy of the early universe after quantum tunneling.

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