On Fri, Feb 21, 2025 at 6:29 PM Quentin Anciaux <[email protected]> wrote:

> Bruce,
>
> The claim follows from basic probability reasoning applied to MWI.
> Decoherence ensures that branches evolve independently, preventing
> interference. This means that observer instances in different branches
> cannot interact. If you accept that observer experiences are determined by
> where they find themselves in the wavefunction, then the relative frequency
> of experiences should follow the distribution of amplitudes squared.
>

That is an assumption that has never been shown to be true.

The justification is straightforward: if there are exponentially more
> observers in high-amplitude branches than in low-amplitude ones, then a
> randomly selected observer will overwhelmingly find themselves in a
> high-measure branch. This is not an additional assumption—it follows
> directly from the structure of unitary evolution.
>

No, it does not follow from unitary evolution. It follows from your
unjustified assumption that there are exponentially more observers in
high-amplitude branches than in low-amplitude ones. Talk about claims that
need to be justified. This stands out as an extraordinary claim.

Your argument assumes that every sequence contributes equally to
> probability estimation, but that assumption is precisely what is in
> question. You are treating "branches" as discrete, countable objects,
> rather than as partitions of a continuously evolving wavefunction.
>

That is just unjustified nonsense. You have not proved anything like this.

The fact that decoherence prevents recombination does not mean each branch
> carries equal measure in terms of observer experience.
>
> If you believe otherwise, then you need to justify why amplitudes, which
> govern all other quantum phenomena, should suddenly become irrelevant in
> determining observer distribution.
>

You are the one making extraordinary claims, and extraordinary claims
require extraordinary evidence -- which is not forthcoming.

Bruce

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