On Page's examples challenging the entropy bound

Abstract

According to the entropy bound, the entropy of a complete physical system can be universally bounded in terms of its circumscribing radius and total gravitating energy. Page's three recent candidates for counterexamples to the bound are here clarified and refuted by stressing that the energies of all essential parts of the system must be included in the energy the bound speaks about. Additionally, in response to an oft heard claim revived by Page, I give a short argument showing why the entropy bound is obeyed at low temperatures by a complete system. Finally, I remark that Page's renewed appeal to the venerable ``many species'' argument against the entropy bound seems to be inconsistent with quantum field theory.

RevTex 12 pages, expanded introduction and discussion of Page's latest counterexample

References in corpus (4)

• The Shortest Scale of Quantum Field Theory
• Defining Entropy Bounds
• Subsystem Entropy Exceeding Bekenstein's Bound
• Huge Violations of Bekenstein's Entropy Bound

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• Bekenstein bounds in de Sitter and flat space
• How does the entropy/information bound work ?
• Geometric entropy, area, and strong subadditivity
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• The Smeared Null Energy Condition
• Defining Entropy Bounds
• Subsystem Entropy Exceeding Bekenstein's Bound
• Note on Bound States and the Bekenstein Bound
• Holography and entropy bounds in the plane wave matrix model