Too Long; Didn't ReadWe’re exploring Snyder’s space-time quanta and their relation to Bekenstein’s universal bound. Snyder’s algebra implies that non-commutative geometry relies on a fundamental minimal length, and Bekenstein’s bound provides a limit on the amount of information needed to ...
The non-zero value of Planck constant $hbar$ underlies the emergence of several inequalities that must be satisfied in the quantum realm, the most prominent one being the Heisenberg Uncertainty Principle. Among these inequalities, the Bekenstein bound provides a universal limit on the entropy that ...
We propose a rigorous derivation of the Bekenstein upper limit for the entropy/information that can be contained by a physical system in a given finite region of space with given finite energy. The starting point is the observation that the derivation of such a bound provided by Casini (2008)...
Bekenstein has obtained an upper limit on the entropy S, and from that, an information number bound N is deduced. In other words, this is the information contained within a given finite region of space that includes a finite amount of energy. Similarly, this can be thought as the maximum ...
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1) the gravitational interaction provides a limit on the traditional Heisenberg uncertainty relations associated with an energy fluctuation of {\Delta}E; 2) the phase space induced by all possible vacuum fluctuations is not a conventional one, but rather an extended phase space with the symplectic ...
a 2 The other conformally invariant answer would be infinite size, but conformal invariance is broken away from the fixed point so that the mesons will have some finite size in the full theory (which can then be neglected in the long wavelength limit). 1 –3– option (1) ...
We further consider the effect of adding massive scalar or fermionic matter and show that the Bekenstein bound is satisfied when the Casimir energy is regularized under the constraint that it vanishes in the large mass limit. These calculations can be generalized straightforwardly for the case of ...
Finally, we comment on the effects of physical boundary on Hawking radiation and show that relaxing the assumption of equilibrium with Hawking radiation sets SBH as an upper limit for Black Hole entropy.SaravaniPerimeter Institute for Theoretical Physics...
For a diagonal choice of tetrades, stable Nariai metrics can be found, emitting Bekenstein-Hawking radiation in semiclassical limit. However, for a non-diagonal choice of tetrades, evaporation and antievaporation instabilities are turned on. In turn, this causes a back-reaction effect suppressing ...