On Tue, Feb 25, 2025 at 9:15 AM Quentin Anciaux <allco...@gmail.com> wrote:

>
> You keep assuming that one branch corresponds to one observer, but that’s
> simply not what MWI proposes.
>

That is exactly what Everett (MWI) proposes. Have you not in the least
understood what I have been saying. On each measurement of the binary
wavefunction, the observer splits, so that there is one copy on each
branch. Continuing this process N times leads to the 2^N branches with one
observer on each sequence. There is only one observer per sequence
(branch), because that is what the unitary splitting process gives you.


Everett’s framework is about relative states, not discrete worlds with
> single, isolated observers. If you treat branches as coarse-grained
> partitions of an underlying continuous wavefunction, then observer
> instances scale with amplitude,
>

But that is not what unitary evolution and the Schrodinger equation say. It
is just pure fantasy on your part. I can ask, where do these additional
observers on each branch come from? They are not included in any of the
mathematics of unitary evolution.

and that’s what leads to the Born rule. The fact that all 2^N sequences
> exist doesn’t mean they contain the same number of observer copies. If you
> disagree, you need to justify why unitary evolution should produce equal
> weighting when the amplitudes explicitly define the structure of the
> wavefunction.
>

That is what has been done. Unitary evolution produces one observer for
each branch, because the observers are copies that arise from unitary
splits according to the Schrodinger equation. At this stage, there are no
such things as branch weights, because they have not been defined. I am
just following unitary evolution and, although the amplitudes get carried
along, they have no particular meaning or significance until some such is
imposed from outside.

Bruce

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