But is the universe even modeled by real numbers or is this solely a concept of the mathematical domain? Hawking calculated the Bekenstein bound, which proved

But is the universe even modeled by real numbers or is this solely a concept of the mathematical domain? Hawking calculated the Bekenstein bound, which proved an upper bound on the amount of information that can be contained within a given volume. As black holes are maximal entropy objects, one can compute the entropy for a certain black hole volume and equate that with Shannon entropy to determine the number of bits. This suggests, to some degree, that the fundamental particle is the bit. (This also proves that a true Turing machine with unbounded memory is not physically possible.)