Abstract
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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ArXiv ePrint: 1309.3084
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Chang-Young, E., Lee, D. Friedmann equation and the emergence of cosmic space. J. High Energ. Phys. 2014, 125 (2014). https://doi.org/10.1007/JHEP04(2014)125
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DOI: https://doi.org/10.1007/JHEP04(2014)125