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Friedmann equations and emergence of cosmic space

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arxiv 1309.3084 v3 pith:XSV32ITF submitted 2013-09-12 hep-th

classification hep-th
keywords conjecturecosmicemergencefriedmannnon-flatpadmanabhanspacevolume
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In this paper, we show that Padmanabhan's conjecture for the emergence of cosmic space [arXiv:1206.4916] holds for the flat Friedmann-Robertson-Walker universe in Einstein gravity but does not hold for the non-flat case unless one uses the aerial volume instead of the proper volume. Doing this, we also show that various works extending Padmanabhan's conjecture to non-Einstein and non-flat cases have serious shortfalls. This analysis is done using the Friedmann equation with the further assumptions of the holographic principle and the equipartition rule of energy.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe

    gr-qc 2019-08 conditional novelty 5.0 of 10

    In a non-flat Friedmann universe, the unified first law dE = TdS + WdV and the energy-flux form -dE = TdS are consistent only when the horizon volume is taken as the areal volume, not the proper invariant volume.

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