The holographic principle says that if i have a region of space, and i surround it by a boundary. The amount of information inside the region can be incoded or is no greater than the area of the boundary as measured in plank units. So you don't need a very big region before there are far fewer plank units the boundary then there are plank volumes in the region. That's the only reason hilography is possible. A raphael buso has in a nicely formulated the holographic principle in a completely rigorous way.

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