On Friday, July 2, 2021 at 2:54:19 PM UTC+2 Lawrence Crowell wrote:
> The GRW interpretation states there is with any quantum wave a fundamental > phenomenon of collapse. The collapse occurs fundamentally by a stochastic > rule. Fundamental, irreducible probability seems like an incompletely baked concept. Mathematically/structurally, probability can be defined in terms of pure sets, like any other mathematical/structural concept. Pure sets (combinations of combinations of combinations etc. founded on the empty combination) are the fundamental concept from which it is possible, in principle, to build up any structure. MWI attempts to define the quantum probability in terms of sets, whose most straightforward interpretation seems to be worlds. But the problem is that there seem to be infinitely many worlds in MWI and a system of infinitely many objects may have different probability measures that give different results, so it seems that the Schrodinger equation is not sufficient to calculate probabilities even in MWI and MWI also needs a probability measure as an additional property of the quantum multiverse, namely such that it results in the Born rule. There have been some claims that such a measure is the only possible one and as a layman I can't comment on that but as far as I know there is no consensus among physicists on how to derive the Born rule and so it may be a property of the quantum multiverse in which we happen to live and other quantum multiverses may have different probability measures. Or the Born rule might be derived with the help of another property that emerges from a deeper theory such as quantum gravity (which perhaps restricts the number of worlds to a finite number). -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ba04366e-c995-4ee7-825d-9a528fbeda68n%40googlegroups.com.
