Covariant Entropy Bound and Padmanabhan's Emergent Paradigm
Year: 2016
Type: preprint
Abstract: The covariant entropy conjecture is invariant under time reversal and consequently its origin must be statistical rather than thermodynamical. This may impose a fundamental constraint on the number of degrees of freedom in nature. Indeed, the covariant entropy bound imposes an upper entropy bound for any physical system. Considering a cosmological system, we show that Padmanabhan's emergent paradigm, which indicates that the emergence of cosmic space is due to the discrepancy between the surface and bulk degrees of freedom, leads to a lower entropy bound. The lower and upper entropy bounds may coincide on the apparent horizon for the radiation field and dark energy with the equations of state $\omega=\frac{1}{3}$ and $\omega=-1$, respectively. Moreover, the maximal entropy inside the apparent horizon occurs when it is filled completely by the radiation field or dark energy. It turns out that for dark energy case (pure de Sitter space) the holographic principle is satisfied in the sense that the number of degrees of freedom inside the apparent horizon (bulk) is equal to the number of degrees of freedom on the surface of apparent horizon
Source: arXiv (Cornell University)
Authors: H. Hadi, Y. Heydarzade, F. Darabi
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2522475312