4 ms·
my attempt at a short proof about laplace's demon (they may not necessarily be correct, however..); laplace's demon is part of the universe. to simulate the u
by foxhill 12y ago
my attempt at a short proof about laplace's demon (they may not necessarily be correct, however..);
laplace's demon is part of the universe.
to simulate the universe, laplace's demon must simulate itself.
assuming P!=NP, this self simulation cannot be more efficient than the "lower level" simulation.
so either the "self-simulation" hole will become increasingly deeper (to infinity), or the resources required to do the simulation at each level will exponentiate away.
proof 2;
the smallest space at which a single bit of information is storable is O(a subatomic particle). but that subatomic particle is defined by more than one bit of information.
therefore to have knowledge of the entire state of the universe at some time requires more matter than exists in the observable universe.