Since we’re talking about a continuous probability measure, I’m not sure if that’s the right way to think about it. Perhaps it’s best to think of a randomly chosen point from the probability measure that evolves from a concentrated mass around a particular starting configuration— that is, a typical history given a particular branching point.
One could always argue that since there is only a finite (even if unimaginably huge) amount of possible branching points, we’re actually talking about a discrete probability distribution.
One could always argue that since there is only a finite (even if unimaginably huge) amount of possible branching points, we’re actually talking about a discrete probability distribution.
How do you mean?
I’m talking about the fundamental physics of the universe. From a mathematical perspective, it’s far more elegant (ergo, more likely) to deal with a partial differential equation defined on a continuous configuration space. Attempts to discretize the space in the name of infinite-set atheism seem ad-hoc to me.
Oh, right—I was under the impression that MWI would have involved discrete transitions at some point (I haven’t had the energy to read all of the MWI sequence). If that’s incorrect, then ignore my previous comment.
Since we’re talking about a continuous probability measure, I’m not sure if that’s the right way to think about it. Perhaps it’s best to think of a randomly chosen point from the probability measure that evolves from a concentrated mass around a particular starting configuration— that is, a typical history given a particular branching point.
One could always argue that since there is only a finite (even if unimaginably huge) amount of possible branching points, we’re actually talking about a discrete probability distribution.
Your approach works, too.
How do you mean?
I’m talking about the fundamental physics of the universe. From a mathematical perspective, it’s far more elegant (ergo, more likely) to deal with a partial differential equation defined on a continuous configuration space. Attempts to discretize the space in the name of infinite-set atheism seem ad-hoc to me.
Oh, right—I was under the impression that MWI would have involved discrete transitions at some point (I haven’t had the energy to read all of the MWI sequence). If that’s incorrect, then ignore my previous comment.