Doesn't the multi-worlds interpretation of quantum mechanics define an arrow of time?
Imagine we have a random number generator which randomly adds or subtracts 1 from a given number, each with equal probability. Say our initial number is zero. After the first iteration, the space of possible values consists of {-1,1}. After two iterations, it expands to {-2,-1,0,1,2}. It seems clear that progressively larger iterations monotonically increase the space of possible outcomes. Doesn't this defines an arrow of time in the forward direction?
Likewise, suppose our universe comes into existence with some initial state, S(0). As you suggest in your article, this state can by fully specified by... (read more)
Question:
Doesn't the multi-worlds interpretation of quantum mechanics define an arrow of time?
Imagine we have a random number generator which randomly adds or subtracts 1 from a given number, each with equal probability. Say our initial number is zero. After the first iteration, the space of possible values consists of {-1,1}. After two iterations, it expands to {-2,-1,0,1,2}. It seems clear that progressively larger iterations monotonically increase the space of possible outcomes. Doesn't this defines an arrow of time in the forward direction?
Likewise, suppose our universe comes into existence with some initial state, S(0). As you suggest in your article, this state can by fully specified by... (read more)