On 22-04-2018 01:00, agrayson2...@gmail.com wrote:
On Saturday, April 21, 2018 at 9:07:37 PM UTC, smitra wrote:
On 21-04-2018 21:44, agrays...@gmail.com wrote:
On Saturday, April 21, 2018 at 3:12:48 PM UTC-4, smitra wrote:
On 20-04-2018 02:44, Brent Meeker wrote:
On 4/19/2018 5:29 PM, smitra wrote:
One can a priori rule out any non-local effects using the fact
that
the dynamics as described by the Schrödinger equation is
local.
So, in
any theory where there is no collapse and everything follows
from
only
the Schrödinger equation, there cannot be non-local effects
The wave-function exists in configuration space so a point in it
already refers to multiple points in 3space.
Brent
Yes, but that doesn't yield any non-local effects.
Saibal
Why would you think it would, or should? Even the wf for the
singlet
system doesn't do that on its face. It's the Bell statistics that
establish non locality. AG
What the Bell statistics prove is that any hidden variable theory
that
would explain why in an experiment we obtain one result rather than
one
of the other possible results, would necessarily have to be a
non-local
theory.
But wouldn't a non local theory also have the detraction of implying
instantaneous action at a distance? AG
Yes, so e.g. Bohm theory is a hidden variable theory but it's non-local
and that then leads to trouble, e.g. it becomes possible to send signals
faster than the speed of light:
https://en.wikipedia.org/wiki/Quantum_non-equilibrium
"Valentini showed that his expansion of the De Broglie–Bohm theory would
allow “signal nonlocality” for non-equilibrium cases in which
\rho(x,y,z,t) ≠|\psi(x,y,z,t)|^2,[3][4] thereby violating the assumption
that signals cannot travel faster than the speed of light."
Saibal
This means that if we reject non-local theories, we have to
reject any hidden variable theory.
While one considers the special case of entangled particles to get
this
result, the conclusion is, of course, valid in general: If there
were a
hidden variable theory underlying QM, it would have to fully
reproduce
QM and one can then show using the special case of entangled
particles
that the actual dynamics of the hidden variable theory must be
non-local.
But as long as we stay away from any hypothetical hidden variable
theory
(there isn't a shred of evidence for such theories) any non-locality
associated with such theories is totally irrelevant.
Saibal
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