On 05-04-2022 01:24, Bruce Kellett wrote:
On Tue, Apr 5, 2022 at 7:16 AM smitra <smi...@zonnet.nl> wrote:
On 04-04-2022 01:38, Bruce Kellett wrote:
On Mon, Apr 4, 2022 at 12:52 AM smitra <smi...@zonnet.nl> wrote:
MWI is deterministic, but it's not a hidden variable theory.
Bell's
theorem is proved by assuming you have local hidden variables
that
specify the outcomes of experiments and then deriving
inequalities
that
certain correlations should satisfy.
The central assumption that Bell makes is that of locality, or
separability. He shows that any local (separable) theory must give
correlations that satisfy the inequalities. Whereas QM, and
experiment, show that these inequalities are violated.
Determinism is also assumed
It is not. Bell made no such assumption. I require textual proof of
such a claim.
Local hidden variables determine the measurement results ----> Bell's
inequalities are satisfied.
QM is not deterministic. And locality is
not the same as separability.
It is. You show me a separable system that is not local, or a local
system that is not separable.
Locality = The dynamics if a system is local. We don't call classical
physics non-local just because you can creater a system that exhibits
non-local effects.
Humean supervenience, which regards all of physics as supervening on
isolated local point-like objects, is local by construction. It has no
non-separable states by definition. The argument is simple:
All local states are separable (By definition of locality and
separability).
Therefore non-separable states are not local. (Modus tollens)
Quantum mechanics embodies non-separable states.
Therefore quantum mechanics contains non-local states.
QM violates the Bell inequalities,
which means that there cannot be an underlying local hidden
variable
model for QM. But QM itself can be local,
That is not a valid conclusion. Any local account of the
correlations
can always be cast as a hidden variable theory -- if for no other
reason than if there is a local mechanism at play, this mechanism
is
not evident in the standard theory (therefore hidden). Everettian
many
worlds, if they could actually play this role, would be counted as
hidden variables for Bell's analysis. Bell does not specify what
form
these hidden variables should take.
If all outcomes are realized then there cannot exist hidden
variables.
That is a rather arbitrary assertion. And it is not true. Hidden
variables are variables or things that are not seen.
Which are assumed to determine experimental outcomes.
The outcome of experiments is fundamentally stochastic in the MWI.
The outcome of experiments is stochastic in ordinary QM -- QM is not
deterministic.
which means that Bells' theorems do not apply to pure QM (i.e. QM
assumed to be a fundamental theory, with no underlying hidden variable
theory). Tis is also the point made by Sidney Coleman.
Bells's theorem does not
address theories that are not local hidden variable theories.
QM itself provides a local explanations for all experimental
outcomes, including for the Bell correlations.
Then give it!
I'll write up the local account for a Bell-type experiment performed
in
a quantum computer.
I have seen attempts at such accounts. The trouble is that Aspect's
experiments were not performed in a quantum computer! It is Aspect's
experiments that are to be explained.
It would be more interesting if you could give such an account for a
classical computer. What is it that is significant about the QC? It is
generally understood that a quantum computer might give a speed-up on
some tasks, but it cannot actually do anything that a classical
computer could not do, given sufficient time.
The interesting question is why quantum computer accounts do not
correspond to laboratory experience. I think it has something to do
with the formation of permanent records. But you might have a better
account.
There is a theorem that says that systems that can create entanglement
while complying with locality must be non-classical:
https://arxiv.org/abs/1907.08994
So, this is a settled issue.
Saibal
Bruce
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