The notion of complex-valued or even quaternionic or octonionic
probabilities has been considered; see
http://physics.bu.edu/~youssef/quantum/quantum_refs.html
for some pointers into the literature.
-- Ben Goertzel
> -----Original Message-----
> From: scerir [mailto:scerir.domain.name.hidden]
> Sent: Friday, January 23, 2004 9:23 AM
> To: everything-list.domain.name.hidden
> Subject: Re: probabilities & measures & computable universes
>
>
> Are probabilities always and necessarily positive-definite?
>
> I'm asking this because there is a thread, started by Dirac
> and Feynman, saying the only difference between the classical
> and quantum cases is that in the former we assume the probabilities
> are positive-definite.
>
> Thus, speaking of MWI, we could also ask: what is the joint
> probability of finding ourselves in a universe alpha and of
> finding ourselves in a universe beta, which is 180 degrees
> out of phase with the first one (whatever that could mean)?
>
> s.
>
>
Received on Sat Jan 24 2004 - 13:29:40 PST