Holographic entropy bound from gravitational Fock space truncation

Details Holographic entropy bound from gravitational Fock space truncation Holographic entropy bound from gravitational Fock space truncation

2004-09-03

arxiv.org/abs/hep-th/0409046v2

Europhys.Lett. 69 (2005) 36-40

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Latex (incl. style file), minor typos corrected

Scientific paper

10.1209/epl/i2004-10317-0

A simplified derivation of Yurtsever's result, which states that the entropy of a truncated bosonic Fock space is given by a holographic bound when the energy of the Fock states is constrained gravitationally, is given for asymptotically flat spacetimes with arbitrary dimension d greater or equal to four. For this purpose, a scalar field confined to a spherical volume in d-dimensional spacetime is considered. Imposing an upper bound on the total energy of the corresponding Fock states which ensures that the system is in a stable configuration against gravitational collapse and imposing a cutoff on the maximum energy of the field modes of the order of the Planck energy leads to an entropy bound of holographic type. A simple derivation of the entropy bound is also given for the fermionic case.

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