منابع مشابه
Extensive Entropy Bounds
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 r...
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Beyond the uncoupled regime, the rigorous description of the dynamics of (piecewise) expanding coupled map lattices remains largely incomplete. To address this issue, we study repellers of periodic chains of linearly coupled Lorenz-type maps which we analyze by means of symbolic dynamics. Whereas all symbolic codes are admissible for sufficiently small coupling intensity, when the interaction s...
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Bekenstein's conjectured entropy bound for a system of linear size R and energy E, S ≤ 2πER, has counterexamples for many of the ways in which the " system, " R, E, and S may be defined. Here new ways are proposed to define these quantities for arbitrary nongravitational quantum field theories in flat spacetime, such as defining R as the smallest radius outside of which only vacuum expectation ...
متن کاملDefining Entropy Bounds ∗
Bekenstein's conjectured entropy bound for a system of linear size R and energy E, S ≤ 2πER, has counterexamples for many of the ways in which the " system, " R, E, and S may be defined. Here new ways are proposed to define these quantities for arbitrary nongravitational quantum field theories in flat spacetime, such as defining R as the smallest radius outside of which only vacuum expectation ...
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We show that the derivative of the relative entropy with respect to its parameters is lower and upper bounded. We characterize the conditions under which this derivative can reach zero. We use these results to explain when the minimum relative entropy and the maximum log likelihood approaches can be valid. We show that these approaches naturally activate in the presence of large data sets and t...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2003
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.67.127501