On 7/1/2021 4:20 AM, John Clark wrote:
On Wed, Jun 30, 2021 at 5:55 PM 'Brent Meeker' via Everything List
<[email protected]
<mailto:[email protected]>> wrote:
>> "superposition" is just a word that means a collection of
particles that exist in very different physical states at
exactly the same time,
/> 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, and if you choose a coordinate basis
aligned with it, it would only have, say an x'-component. And of course
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. It enters indirectly into measurements because in
general we can't make a measurement along that x' direction, in which
case we'd just get probability=1 that the vector is along x'. Instead
our instruments may only measure in the x,y axes and so with some
probability we get either x or y and that's where Everettians say the
world splits.
Brent
John K Clark See what's on my new list at Extropolis
<https://groups.google.com/g/extropolis>
o06
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