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We argue in the following that the entropy-area law of black-hole physics andthe various holographic bounds are the consequences of the microscopic dynamicsof elementary degrees of freedom living on or near the Planck scale. We locatethem both in the interior and on the boundary of, for example, the black holewith the strange area-behavior of various quantities being the result of along-range bulk-boundary dependence among these degrees of freedom. In contrastto other approaches we regard the vacuum fluctuations on microscopic scales asthe relevant elementary building blocks. In so far certain relations to to oldideas of Sakharov, Zeldovich et al are acknowledged (induced gravity). Mostimportantly, we prove that the existence of a large energy gap between a fewlow-lying excitation patterns and the majority of the other (in principle)possible excitation patterns in a subvolume with given boundary excitation iscrucial for this area-dependence. We also remark that this is an indicationthat some particular entangled space-time geometry of a somewhat non-localcharacter prevails in the microscopic (Planck) regime. Our findings arecorroborated by the explanation of a number of open questions in the field (seethe table of contents at the end of the introduction).

The Statistical Mechanics of Microscopic Long-Range Bulk-Boundary Dependence in Black-Hole Physics and Holography