On 2/12/2025 5:09 AM, John Clark wrote:
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.*
But you commonly apply it in examples in which there are only two
possibilities.
/> 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, *
That's no better than just saying results are probabilistic because the
Schroedinger equation predicts different results with different
amplitudes and only one of them happens. MWI just adds the step,
"self-location", in order to replace "one thing happens".
*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.*
That's a bad example. It goes back to the idea that consciousness
collapses the wave-function.
Brent
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