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The Violation of Bell Inequalities in the Macroworld Diederik Aerts, Sven Aerts, Jan Broekaert and Liane Gabora
 

Summary: The Violation of Bell Inequalities in the Macroworld
Diederik Aerts, Sven Aerts, Jan Broekaert and Liane Gabora
Center Leo Apostel, Brussels Free University
Krijgskundestraat 33, 1160 Brussels, Belgium.
diraerts@vub.ac.be, saerts@vub.ac.be
jbroekae@vub.ac.be, lgabora@vub.ac.be
Abstract
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.
Dedication: Marisa always stimulated interdisciplinary research connected to quantum mechanics, and
more specifically she is very enthusiastic to the approach that we are developing in CLEA on quantum

  

Source: Aerts, Diederik - Leo Apostel Centre, Vrije Universiteit Brussel

 

Collections: Multidisciplinary Databases and Resources; Physics