# Quantum buoyancy, generalized second law, and higher-dimensional entropy bounds

@article{Hod2011QuantumBG,
title={Quantum buoyancy, generalized second law, and higher-dimensional entropy bounds},
author={Shahar Hod},
journal={Journal of High Energy Physics},
year={2011},
volume={2010},
pages={1-12}
}
• S. Hod
• Published 17 January 2011
• Physics
• Journal of High Energy Physics
Bekenstein haspresented evidencefor theexistenceofa universalupperbound of magnitude 2πR/ℏc to the entropy-to-energy ratio S/E of an arbitrary three dimensional system of proper radius R and negligible self-gravity. In this paper we derive a generalized upper bound on the entropy-to-energy ratio of a (D + 1)-dimensional system. We consider a box full of entropy lowered towards and then dropped into a (D + 1)-dimensional black hole in equilibrium with thermal radiation. In the canonical case of…
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