2004/09/30 by Andreas Aste, A Aste
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1209/epl/i2004-10317-0
published as Europhys.Lett. 69 (2005) 36-40 · 5 pages, Latex (incl. style file), minor typos corrected
arxiv created 2004/10/20 · openalex publication_date 2004/12/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 ⩾ 4. 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.