On Sat, Nov 16, 2024 at 2:41 PM Russell Standish <[email protected]> wrote:
> On Sat, Nov 16, 2024 at 01:58:08PM +1100, Bruce Kellett wrote: > > On Sat, Nov 16, 2024 at 1:38 PM Russell Standish <[email protected]> > wrote: > > > > On Fri, Nov 15, 2024 at 12:02:14AM -0800, Alan Grayson wrote: > > > As I see it, JC's core claim about the MWI is that it follows from > S's > > > equation > > > > It comes about by not making any further assumptions, like the > > wavefunction collapse of CI, or pilot waves of Bohmian mechanics > which > > privilege one branch over the others. > > > > > > But MWI does assume that the wavefunction is a real physical object, even > > though it exists only in 3N-dimensional configuration space; > > I don't think it requires this assumption. In fact "physically real" > is a rather nebulous concept anyway. > If you want the 'other worlds' to be physically real, then the original wave function must be physically real. > and it also has to > > make some assumptions about probability that are equivalent to just > assuming > > the Born Rule. So the idea that it does not make any further assumptions > beyond > > the Schrodinger equation is something of a pipe dream. > > > > You need to assume something like the Kolmogorov axioms of > probability anyway, but these are by and large definitional. > > For the rest, the Gleason theorem really does the heavy lifting. > But one somehow has to relate the amplitudes of the wave function basis vectors to the probabilities. And since the Schrodinger equation is deterministic, introducing a probability interpretation is problematic. Bruce My disatisfaction with the state of the art stems from wanting to > derive Schroedinger's equation from something more basic. SE already > assumes a complex Hilbert space, from which the rest follows. We do > know that the SE is essentially a statement of energy conservation, in > the context of a complex Hilbert space. > -- 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 visit https://groups.google.com/d/msgid/everything-list/CAFxXSLQ7%2But_VPFoHn83vS3Y2VacaJEfa7%3DxCVk6HN39nJmHsA%40mail.gmail.com.
