TL;DR
This paper proposes a new holographic principle for cosmology relating particle and gravitational entropy, finding that open and some flat universes comply, while closed and inflationary universes do not.
Contribution
It introduces a revised holographic principle for cosmology and analyzes its compatibility with different universe models, highlighting limitations for closed and inflationary universes.
Findings
Open and certain flat universes are compatible with the principle.
Closed universe models are incompatible with the proposed holography.
Inflationary universe models after the big bang do not satisfy the principle.
Abstract
A new version of holographic principle for cosmology is proposed, which dictates that particle entropy within `cosmological apparent horizon' should not exceed gravitational entropy associated with the apparent horizon. It is shown that, in the Friedman-Robertson-Walker (FRW) cosmology, the open Universe as well as a restricted class of flat cases are compatible with the principle, whereas closed Universe is not. It is also found that inflationary Universe after the big-bang is incompatible with the cosmic holography.
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