# 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} }

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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