alt Hacker News> infinite-time or infinite-memory computer
That doesn't apply for the Bekenstein Bound though.
Literally the first line of the wikipedia article:
> In physics, the Bekenstein bound (named after Jacob Bekenstein) is an upper limit on the thermodynamic entropy S, or Shannon entropy H, that can be contained within a given *finite* region of space which has a *finite* amount of energy—or equivalently, the maximum amount of information that is required to perfectly describe a given physical system down to the quantum level.
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Okay, then we just use a bunch of tiny black holes and pack some extra dark energy between them, then we can get back to volumetric scaling. In fact, since dark matter isn't yet fully understood, once we can harness it, we can fit several times as much black hole surface area in the same space as a singular black hole.
I'm arguing against the use of Big-O "in the limit" as GP puts it; our tech is far away from that limit and O(N^{1/3}) is a better model.