Defining Entropy Bounds

Abstract

Bekenstein's conjectured entropy bound for a system of linear size R and energy E, S < 2 pi E R, has counterexamples for many of the ways in which the "system," R, E, and S may be defined. Here new ways are proposed to define these quantities for arbitrary nongravitational quantum field theories in flat spacetime, such as defining R as the smallest radius outside of which only vacuum expectation values occur. Difficulties of extending these definitions to gravitational quantum theories are noted.

30 pages, LaTeX, rewritten Introduction and references added

References in corpus (9)

• Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law
• How does the entropy/information bound work ?
• Non-Archimedean character of quantum buoyancy and the generalized second law of thermodynamics
• On the Status of Highly Entropic Objects
• Are there hyperentropic objects ?
• On Page's examples challenging the entropy bound
• Subsystem Entropy Exceeding Bekenstein's Bound
• The optimal entropy bound and the self-energy of test objects in the vicinity of a black hole
• Huge Violations of Bekenstein's Entropy Bound

Cited by in corpus (9)

• Hawking Radiation and Black Hole Thermodynamics
• Relative entropy and the Bekenstein bound
• How does the entropy/information bound work ?
• Casimir Effect of Graviton and the Entropy Bound
• Hyper-Entropic Gravitational Fireballs (Grireballs) with Firewalls
• On Page's examples challenging the entropy bound
• A proof of the Bekenstein bound for any strength of gravity through holography
• Holography and entropy bounds in the plane wave matrix model
• What exactly does Bekenstein bound?