Re: Provable vs Computable

From: scerir <scerir.domain.name.hidden>
Date: Sat, 05 May 2001 20:37:48 +0100

>> Such a virtual reality or universe is perfectly well-defined.
 
> Such a universe would violate Bell's inequality theorem. Quantum randomness
> cannot be simulated by hidden variables. We have to move beyond
> realism......to get a model of objective reality we must first develop a
> model of consciousness.
> George Levy.

The picture seems even more fuzzy. There are, also, classical dynamical
systems, and classical fields, violating Bell's inequality. And we can
realize quantum entanglement ... by classical computers (experiment done).
And, above all, can we use (as Bell did) the classical probability theory in
the quantum domain?
- scerir

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quant-ph/0007019

Non-locality and quantum theory: new experimental evidence

Luigi Accardi, Massimo Regoli

Starting from the late 60's many experiments have been performed to verify
the violation Bell's inequality by Einstein-Podolsky-Rosen (EPR) type
correlations. The idea of these experiments being that: (i) Bell's
inequality is a consequence of locality, hence its experimental violation is
an indication of non locality; (ii) this violation is a typical quantum
phenomenon because any classical system making local choices (either
deterministic or random) will produce correlations satisfying this
inequality. Both statements (i) and (ii) have been criticized by quantum
probability on theoretical grounds (not discussed in the present paper) and
the experiment discussed below has been devised to support these theoretical
arguments. We emphasize that the goal of our experiment is not to reproduce
classically the EPR correlations but to prove that there exist perfectly
local classical dynamical systems violating Bell's inequality.

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quant-ph/0007005

Locality and Bell's inequality

Luigi Accardi, Massimo Regoli

We prove that the locality condition is irrelevant to Bell in equality. We
check that the real origin of the Bell's inequality is the assumption of
applicability of classical (Kolmogorovian) probability theory to quantum
mechanics. We describe the chameleon effect which allows to construct an
experiment realizing a local, realistic, classical, deterministic and
macroscopic violation of the Bell inequalities.

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quant-ph/9606019

A Proposed Experiment Showing that Classical Fields Can Violate Bell's
Inequalities

Patrick Suppes (Stanford University, USA), J. Acacio de Barros (Federal
University at Juiz de Fora, Brazil), Adonai S. Sant'Anna (Federal University
at Parana, Brazil)

We show one can use classical fields to modify a quantum optics experiment
so that Bell's inequalities will be violated. This happens with continuous
random variables that are local, but we need to use the correlation matrix
to prove there can be no joint probability distribution of the observables.

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quant-ph/0007044

The Violation of Bell Inequalities in the Macroworld

Diederik Aerts, Sven Aerts, Jan Broekaert, Liane Gabora

We show that Bell inequalities can be violated in the macroscopic world. The
macroworld violation is illustrated using an example involving connected
vessels of water. We show that whether the violation of inequalities occurs
in the microworld or in the macroworld, it is the identification of
nonidentical events that plays a crucial role. Specifically, we prove that
if nonidentical events are consistently differentiated, Bell-type Pitowsky
inequalities are no longer violated, even for Bohm's example of two
entangled spin 1/2 quantum particles. We show how Bell inequalities can be
violated in cognition, specifically in the relationship between abstract
concepts and specific instances of these concepts. This supports the
hypothesis that genuine quantum structure exists in the mind. We introduce a
model where the amount of nonlocality and the degree of quantum uncertainty
are parameterized, and demonstrate that increasing nonlocality increases the
degree of violation, while increasing quantum uncertainty decreases the
degree of violation.

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Received on Sat May 05 2001 - 11:40:46 PDT