Friedmann equations and emergence of cosmic space

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.

LaTeX 13 pages, abstract revised, minor corrections, and a speculation about the spatial flatness of the universe is added

References in corpus (5)

• Friedmann Equations from Entropic Force
• Friedmann equations from emergence of cosmic space
• Emergence of Cosmic Space and the Generalized Holographic Equipartition
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Emergence and Expansion of Cosmic Space as due to the Quest for Holographic Equipartition

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• Holographic Cosmology from a System of M2-M5 Branes
• Holographic Cosmology from BIonic Solutions