Bruce,

The measure isn’t something I’m inventing, it’s implicit in the squared
amplitudes of the wavefunction. The Schrödinger equation preserves the L²
norm, and decoherence ensures that branches with extremely low amplitudes
contribute negligibly to observer statistics. Ignoring that structure and
treating all branches as equally weighted is not quantum mechanics, it’s
just branch counting under a flat prior.

Quentin

All those moments will be lost in time, like tears in rain. (Roy
Batty/Rutger Hauer)

Le mar. 26 août 2025, 08:29, Bruce Kellett <[email protected]> a écrit :

> On Tue, Aug 26, 2025 at 4:21 PM Quentin Anciaux <[email protected]>
> wrote:
>
>> You’re conflating mathematical possibilities with experiential
>> frequencies. Yes, all 2^N sequences exist in the wavefunction, but their
>> measures are not equal. The Born rule emerges because observers are not
>> uniformly distributed across these sequences: almost all self-locating
>> observers end up in high-measure branches. If you assume equal weighting,
>> you’re rejecting the very structure of the wavefunction and replacing
>> quantum mechanics with branch counting.
>>
>
> I do not assume equal weighting. This argument has been tried before and
> still fails because all 2^N sequences necessarily exist when every
> possibility is realized on every trial. There is no probability associated
> with the sequences, and all have equal weight simply by construction. The
> "measure" you talk about is your own fantasy -- there is no unequal
> "measure" between the sequences. You cannot give any reasonable account of
> any such "measure" -- it does not follow from the Schroedinger equation or
> any other postulate of quantum mechanics.
>
> Bruce
>
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