Please:
Probability and Entanglement
https://globaljournals.org/GJSFR_Volume18/E-Journal_GJSFR_(F)_Vol_18_Issue_2.pdf
pp.27-32
[11] Probability and Entanglement http://vixra.org/pdf/1803.0678v1.pdf
Regards,Dr. Gunnhttps://www.youtube.com/watch?v=uvHalv2f5oM
On Sunday, November 3, 2019, 11:17:28 PM GMT+1, 'Brent Meeker' via
Everything List <[email protected]> wrote:
On 11/3/2019 10:43 AM, Philip Thrift wrote:
In order for this statement to be useful, we need to solve the preferred basis
problem. For example, consider the mathematical identity
|u a w> + |e d c> = |n+ s+ f+> + |n+ s- f-> + |n- s+ f-> + |n- s- f+> (2)
where
|n+> = |u> + |e>, |n-> = |u> - |e> |s+> = |a> + |d>, |s-> = |a> - |d>, |f+> =
|w> + |c>, |f-> = |w> - |c>.
Unless we introduce a further piece of interpretive apparatus, we are in
danger of supposing that the system described by |phi> is also described by |n+
s+ f+> or each of the other components in (2), which would mean we have not
solved the original problem. However, this is easily solved, as follows:
Postulate 1. A quantum system and environment described by the state |phi> is
also described by one of the states of the basis in which the reduced density
matrix of |phi> is diagonal after the environment has been traced over. The
`collapse' from |phi> to one of |u a w> and |e d c> is now no different from
the abrupt change in a classical probability distribution when more information
becomes available.
At this point one is then tempted to ask why not just say the wf collapsed?
Tracing over the environment is already something the experimenter does on
paper. It's not part of the Schroedinger equation unitary evolution. Sure it
makes the off-diagonal terms small...but it doesn't make them zero. It's still
just FAPP.
Brent
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