Is the Universe its own Largest Computer?
missingmatterboy writes: "If the universe is simply a giant calculating machine, how big is it? Seth Lloyd, who two years ago worked out the theoretical maximum possible power a laptop computer could posess, has now "estimated how much information the Universe can contain, and how many calculations it has performed since the Big Bang." His conclusion: you'd need about 10^90 bits, with something like 10^120 manipulations of those bits, to express the universe since time began."
If one plans on estimating the calculations (apparently changes) the universe has performed, how can you even make a guess when we still don't even know precisely how old the universe is, and how much matter there is?
And also, why does everything have to be made into a computer of some sort? DNA, and now the whole universe?
WWJD.... for a Klondike bar?
And also, why does everything have to be made into a computer of some sort?
Maybe because its so much easier to think about God as a fellow programmer?
If programs would be read like poetry, most programmers would be Vogons.
Between lesson 2 and lesson 3 you've botched things. Just because the particle has a wavefunction over an infinite domain does not mean it contains an infinite amount of information.
If the particle has finite energy, then that places a limit on the curvature of the wavefunction, and therefore on the "information density" of that wavefunction.
Furthermore, the finite age of the universe sets a limit on the distinguishability of particle states from one another. Very fine separation of energy states require a long evolution period to be distinguishable. (delta-E delta-t ~ h-bar) That sets a limit on the number of currently distinguishable eigenstates of the universe.