On 7/1/2021 12:22 PM, John Clark wrote:
On Thu, Jul 1, 2021 at 2:18 PM 'Brent Meeker' via Everything List
<everything-list@googlegroups.com
<mailto:everything-list@googlegroups.com>> wrote:
/> The math says the wave function travels thru both slots. /
But when a single electron hits a photographic plate it doesn't
produce a vague smudge that a wave would, it produces a discreet spot.
First, why do you think a probability amplitude wave would not produce a
discreet spot? Do you imagine it should produce smear werever it is
greater than 10% or 1% or what? Second, in an actual experiment, it
doesn't produce a discreet spot. On film it produces a cluster of
silver atoms. And since an electron is a point particle, any spot at
all is much bigger than the electron.
That's because the complex wave function, which contains the square
root of -1 in it, is NOT an observable quantity,
Right, only the amplified and decohered effect of the probabilistic
event is observable. That's why Bohr insisted that a classical world
was necessary in order that science be possible, since only classical
observables could be objectively agreed upon.
only the square of the absolute value of it is, and even then only as
a probability. And that is exactly what you would expect things to be
like if when an electron encounters two slits everything in the
universe splits, including you the observer. In the instant after the
universe is split into 2 when an observer does not yet know which
branch he is in, Born's rule is the only one that produces the correct
probabilities in Everett's multiverse.
It's actually the only rule that provides a probability measure on a
Hilbert space (Gleason's theorem). But there's a disconnect between the
mechanism of decoherence and the assignment of probabilities to
different worlds, as Bruce has pointed out. There has to be a separate
axiom that says there is this splitting into worlds that is
probabilistic. Self-locating uncertainty was invented to explain this,
but it seems incoherent in that it supposes there is some "self" that
could be here or there, independent of the physical being which is both
places.
Brent
/> That happens in the same world and so the two paths produce
interference patterns.
/
True, the interference is only observable if the two worlds
recombineback into one.
//John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>
n8va
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