The Bekenstein Bound

27 Apr 2018 Page Don N.

Bekenstein's conjectured entropy bound for a system of linear size $R$ and energy $E$, namely $S \leq 2 \pi E R$, has counterexamples for many of the ways in which the "system," $R$, $E$, and $S$ may be defined. One consistent set of definitions for these quantities in flat Minkowski spacetime is that $S$ is the total von Neumann entropy and $E$ is the expectation value of the energy in a "vacuum-outside-$R$" quantum state that has the the vacuum expectation values for all operators entirely outside a sphere of radius $R$... (read more)

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