Holography in (2+1)-dimensional cosmological models
Bin Wang, Elcio Abdalla

TL;DR
This paper investigates the validity of the cosmic holographic principle in (2+1)-dimensional cosmological models, finding it holds for flat and open universes but generally fails for closed universes regardless of matter properties.
Contribution
It extends the analysis of the holographic principle to lower-dimensional cosmologies, revealing limitations in its applicability to closed universes in (2+1) dimensions.
Findings
Holographic principle holds in flat and open universes
Fails in closed universes regardless of matter properties
Negative pressure or unconventional matter does not restore the principle
Abstract
The cosmic holographic principle suggested by Fischler and Susskind has been examined in (2+1)-dimensional cosmological models. Analogously to the (3+1)-dimensional counterpart, the holographic principle is satisfied in all flat and open universes. For (2+1)-dimensional closed universes the holographic principle cannot be realized in general. The principle cannot be maintained, neither introducing negative pressure matter nor matter with highly unconventional equation of state.
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