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.
Welcome to the May 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questions asked by Patreons, whittle them down to a more manageable size — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!
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