A similarly odd question is how this plays with Solomonoff induction. Is a universe with infinite stuff in it of zero prior probability, because it requires infinite bits to specify where the stuff is? Quantum mechanics would say no: we can just specify a simple quantum state of the early universe, and then we’re within one branch of that wavefunction. And the (quantum) information required to locate us within that wavefunction is only related to the information we actually see, i.e. finite.
A similarly odd question is how this plays with Solomonoff induction. Is a universe with infinite stuff in it of zero prior probability, because it requires infinite bits to specify where the stuff is? Quantum mechanics would say no: we can just specify a simple quantum state of the early universe, and then we’re within one branch of that wavefunction. And the (quantum) information required to locate us within that wavefunction is only related to the information we actually see, i.e. finite.