On 08-04-2022 00:45, Bruce Kellett wrote:
On Fri, Apr 8, 2022 at 1:41 AM smitra <smi...@zonnet.nl> wrote:
On 07-04-2022 01:51, Bruce Kellett wrote:
On Thu, Apr 7, 2022 at 8:19 AM smitra <smi...@zonnet.nl> wrote:
On 06-04-2022 09:01, Bruce Kellett wrote:
You have not responded to this direct argument. I should point
out
that I did not make it clear in the original presentation that I
am
talking about states that are defined at two or more distinct
spacetime points. If you have everything at a single point, the
distinction between locality and separability becomes blurred.
So, in
more detail. We have a state defined at two distinct spacetime
points,
x and y: C(x,y). If we assume Humeanism, each spacetime point is
complete and independent of all other spacetime points. This is
locality,
his is a far stronger constraint than locality, it's only
satisfied in
classical models with local interactions.
It is the relevant concept of locality for consideration of the
Bell
correlations. HV models are, in fact, essentially classical
models
with local interactions. Other formulations of the locality
postulate
also imply Humeanism -- the complete state of the world is
determined
by the intrinsic physical state of each spacetime point and the
spatio-temporal relations between these points.
Local realism, QM is local but does not satisfy realism.
It has nothing to do with realism. Local physics is completely defined
by what happens at the individual spacetime points. But that does not
imply that variables have definite values before they are measured. We
allow for stochastic dependence on the physics at local spacetime
points and also allow for MWI -- the operation of the deterministic
Schrodinger equation giving every possible outcome on every
interaction. If you are not careful, you are going to make MWI
realistic. The Humean assumption underlies any local theory, including
MWI if that can be shown to be local. It is not intrinsically realist.
Locality implies separability. If you disagree, show me the
mathematics of a local state (referring to distinct spacetime points)
that is not separable -- without begging the question, that is!
Locality refers to the dynamics of a theory, not to properties of some
particular state. In classical physics, you don't have non-separable
states, but you can get to non-local correlations using only local
dynamics. In QM you can get to non-separable states using only local
dynamics. The mere fact that you can have non-classical entangled states
does not imply that the dynamics of the theory is non-local
Bruce
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