منابع مشابه
Bound states and the Bekenstein bound
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...
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.
متن کاملEarth's Extensive Bekenstein Bound
It is pointed out that two geophysical quantities have comparable values. First, Earth’s total negative entropy flux integrated over geological time and, second, its extensive Bekenstein entropy bound, which follows if entropy is an extensive function of volume and energy. The similarity between both numbers suggests that the formation of young, i.e. non-primordial, planetary mass black holes m...
متن کاملRelative 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...
متن کاملHolography, Dimensional Reduction and the Bekenstein Bound
We consider dimensional reduction of the lightlike holography of the covariant entropy bound from D + 1 dimensional geometry of M × S1 to the D dimensional geometry M . With a warping factor, the local Bekenstein bound in D+ 1 dimensions leads to a more refined form of the bound from the D dimensional view point. With this new local Bekenstein bound, it is quite possible to saturate the lightli...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2004
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2004/02/025