and negative fluctuations strongly compensate each other which technically is expressed by property (\[fluc\]).

Remark: In [@R5] we extended such a vacuum fluctuation analysis and applied it to measurement instruments, being designed to detect (possibly) microscopic fluctuations of distances due to passing gravitational waves.

We hence infer that the fluctuation pattern of e.g. energy-momentum has to be strongly [anticorrelated]{}. But under the above assumption it is possible that the underlying compensation mechanism which balances e.g. the positive and negative energy fluctuations is of short-range type, viz., individual grain-energies may still fluctuate almost independently if their spatial distance is sufficiently large. We show in the following that the true significance of the so-called [holographic principle]{} is it, to enforce a very rigid and [long-ranged]{} anticorrelated fluctuation pattern in the quantum vacuum. As we are at the moment only interested in matters of principle, we assume the simplest case to prevail, called the [space-like]{} holographic principle (holding in contexts like e.g. quasi-static backgrounds or asymptotic Minkowski-space; see e.g. the beautiful review [@Bousso]).

There exists a class of scenarios in which the maximal amount of information or entropy which can be stored in a spherical volume is proportional to the area of the 