Comment Re:Sensible (Score 2) 373
Coherence is not required for me to interact with the rest of the classical world, so why should it be required for me to interact with other universes?
It's required because otherwise your state vector gets entangled with the state vector of the rest of the universe, and then unitary time evolution requires that if you have a superposition alpha |psi_U> x |psi_O> + beta |psi_U'> x |psi_O'> [1] at time t = 0, and U(0,T) is the time evolution operator from time 0 to time T, then at time T the state must be alpha U(0,T) |psi_U> x |psi_O> + beta U(0,T') |psi_U'> x |psi_O'>, so the amplitude for any of the components which contain |psi_O> at time T can't depend on the amplitude for any of the components with |psi_O'> at time 0 unless U(0,T) mixes |psi_V> x |psi_O> with |psi_V> x |psi_O'> for some state of the rest of the universe V, which just amounts to postulating that the observer has an unreliable memory which depends on the rest of the universe.
[1] Here, |psi_U> and |psi_U'> are different states of the rest of the universe corresponding to projecting onto different values of some observable you have just measured; |psi_O> and |psi_O'> are different states of the observer (you) corresponding to having made (and, since they are distinct states, remembered) some observation, and x is the tensor product operator.