The gist is that if one delves deep enough into physics, then one finds that the maximal amount of information a given volume of space can theoretically store is proportional to the _surface_, not as one might expect the _volume_!
That is surprising at first because clearly one can stack hard-drives or whatever data medium in 3 dimensions, right? But if you go very overboard with this, either by doing this at stellar scales or with absurd densities, then gravity says NO! The entire thing turns into a black hole and all is lost (or not; this is another can of worms, yet not unrelated).
If one does the math, you find that storing at the maximal possible information density, you barely avoid this scenario by staying proportional to the surface area of such a black hole. And thus all information you ever have in 3D can just as well be stored in a corresponding 2D object.
Latest Answers