On 7/1/2021 12:34 PM, John Clark wrote:
On Thu, Jul 1, 2021 at 2:03 PM 'Brent Meeker' via Everything List
<[email protected]
<mailto:[email protected]>> wrote:
/>>> It's more that a particle or a system of particles
exist in a single physical state, which is represented by
different components in our basis for the Hilbert space. /
>> To me that sounds like a basically correct but needlessly
convoluted euphemism for sayingthe universe splits. I mean…
How would things be different if instead ofthe "/a particle or
a system of particles exist in a single physical state, which
is represented by different components in our basis for the
Hilbert space/", the universe just split? Seems to me that if
one thing needstwo "/different components in our basis for the
Hilbert space/" then you don't have 1 thing, you have 2 things.
> No, it's just like a representation of a vector. It has an
x-component and y-component but it's one thing,
The electron's wave function may be just one thing but I'm far more
interested in the electron than I am with its wave function. The
electron is observable,
Actually it's not. Only the decohered effect of an electron is ever
observed, silver atoms on a film, click of detector.
the electron's wave function is not, and the wave function is not
fundamental either, you can do quantum mechanics and not use
Schrodinger's equation at all, matrix mechanics doesn't need it.
And you can use path-integrals too in which case the electron goes thru
both slots and interferes with itself to produce the probabilistic
interference pattern.
/> a Hilbert space can have countably many dimensions. This
doesn't directly have anything to do with the world splitting.
That comes from making a measurement. /
Exactly what I've been saying, you can't make a measurement without
making a difference and you can't make a difference without splitting
the universe.
Which is why the universe splits when the electron interacts a silver
halide molecule at a spot on the screen...not when it goes thru both slots.
Brent
John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>
pwe2
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