2010

Saturating the holographic entropy bound

Bousso, Raphael, Freivogel, Ben, Leichenauer, Stefan

Understand

The covariant entropy bound states that the entropy, S, of matter on a light-sheet cannot exceed a quarter of its initial area, A, in Planck units.

The gravitational entropy of black holes saturates this inequality.
The entropy of matter systems, however, falls short of saturating the bound in known examples.
This puzzling gap has led to speculation that a much stronger bound, S< A^{3/4}, may hold true.

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