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Relative entropy and the Bekenstein bound
Elaborating on a previous work by Marolf et al, we relate some exact results in quantum field theory and statistical mechanics to the Bekenstein universal bound on entropy. Specifically, we consider the relative entropy between the vacuum and another state, both reduced to a local region. We propose that, with the adequate interpretation, the positivity of the relative entropy in this case cons...
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We explore the validity of the generalized Bekenstein bound, S ≤ πMa. We define the entropy S as the logarithm of the number of states which have energy eigenvalue below M and are localized to a flat space region of width a. If boundary conditions that localize field modes are imposed by fiat, then the bound encounters wellknown difficulties with negative Casimir energy and large species number...
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متن کاملNote on Bound States and the Bekenstein Bound
In this brief note we draw attention to examples of quantum field theories which may hold interesting lessons for attempts to devise a precise formulation of the Bekenstein bound. Our comments mirror the recent results of Bousso (hep-th/03110223) indicating that the species problem remains an issue for precise formulations of this bound.
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2008
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/25/20/205021