On Tue, Feb 11, 2025 at 6:34 PM Brent Meeker <[email protected]> wrote:

*> as soon as you involve separate non-interacting worlds, and rely on
> decoherence to give (approximate) orthogonality, then you have assumed that
> small amplitudes correspond to low probability -- which is just the Born
> rule*



*If, due to decoherence, a systen is orthogonal to all other systems and
the elements of the system are maximally entangled with each other, then
because of symmetry, elements with equal quantum amplitude must have equal
probability, so if the total effect of something is the sum of its
individual parts then the only consistent probability rule, in three
dimensions or higher, is one in which the probability is proportional to
the square of the amplitude.*

*> there is no evidence that the Schrodinger equation itself "evolves the
> amplitude", *


*I don't know what you mean by that. At different times in different places
Schrodinger's equation says the quantum wave will be different, and so will
be its amplitude. *

* > The idea of "branch weight" is just a made-up surrogate for assuming a
> probabilistic interpretation; namely, the Born rule.*


*We know from experiment the Born Rule works, everybody agrees about that,
but Copenhagen, Pilot Wave and Objective Collapse don't even try to explain
WHY it works, they just take it as a starting assumption; but Many Worlds
doesn't , it can explain WHY the Born Rule works. Also Many Worlds can
explain why we need to use probability even though the Multiverse is
deterministic (because Schrodinger's equation is deterministic); it's
because of self‐locating uncertainty, until you open the box you lack the
information needed to know if you're in the world where the cat is alive or
the world with the cat is dead.*

*John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*
4n1

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