Extensive Entropy Bounds

Details Extensive Entropy Bounds Extensive Entropy Bounds

2002-12-20

arxiv.org/abs/gr-qc/0212087v2

Phys.Rev. D67 (2003) 127501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, revtex, To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.127501

It is shown that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. More explicitly, the Bekenstein entropy bound leads to the entropy of thermal radiation (the Unruh-Wald bound) and the spherical entropy bound implies the "causal entropy bound". Surprisingly, the first bound shows a close relationship between black hole physics and the Stephan-Boltzmann law (for the energy and entropy flux densities of the radiation emitted by a hot blackbody). Furthermore, we find that the number of different species of massless fields is bounded by $\sim 10^{4}$.

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