On 5/4/2022 4:01 PM, Bruce Kellett wrote:
On Thu, May 5, 2022 at 8:04 AM Brent Meeker <meekerbr...@gmail.com> wrote:
On 5/4/2022 12:27 PM, smitra wrote:
In fact, that idea introduces a raft of problems of its own --
what is
the measure over this infinity of branches? What does it mean to
partition infinity in the ratio of 0.9:0.1? What is the mechanism
(necessarily outside the Schrodinger equation) that achieves this?
That simply means that there is as of yet no good model for QM
without the Born rule.
But there is no mechanism for the Born rule. It is inconsistent
with pure Schroedinger evolution of the wave function. I think
the problem of measures on infinity is overcome if you simply
postulate a very large but finite number of branches to split.
The trouble if the number of branches is finite is that, given the
large number of splits since the beginning of time, you will
eventually run out of branches to split.
There's always a bigger, but still finite number. Hilbert space already
assumes continuous complex values.
Or why not not an continuum probability and just measure by the
density around the eigenvalue
How do you measure the density? You still need to impose a measure on
an infinite set.
The reals have natural measurable subsets which define the Lebesque measure.
https://e.math.cornell.edu/people/belk/measuretheory/LebesgueMeasure.pdf
Brent
...the measured values are never exact anyway. I don't these
things are wrong or show MWI is inconsistent, but I think they
show it has just moved the problems it purported to solve off to
some unobservable worlds, which is no better than CI.
They show that MWI, as proposed by Everett, cannot work without such
extensive modification that it is no longer the same theory. What is
more, the required modifications are all ad hoc patches -- you lose
any claim to rigour.
Bruce
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