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The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities
 

Summary: The Linearity of Quantum Mechanics at Stake: The
Description of Separated Quantum Entities
Diederik Aerts and Frank Valckenborgh
Center Leo Apostel (CLEA) and
Foundations of the Exact Sciences (FUND),
Brussels Free University, Krijgskundestraat 33,
1160 Brussels, Belgium.
diraerts@vub.ac.be, fvalcken@vub.ac.be
Abstract
We consider the situation of a physical entity that is the compound
entity consisting of two `separated' quantum entities. In earlier work
it has been proved by one of the authors that such a physical entity
cannot be described by standard quantum mechanics. More precisely,
it was shown that two of the axioms of traditional quantum axiomatics
are at the origin of the impossibility for standard quantum mechan-
ics to describe this type of compound entity. One of these axioms
is equivalent with the superposition principle, which means that sep-
arated quantum entities put the linearity of quantum mechanics at
stake. We analyze the conceptual steps that are involved in this proof,
and expose the necessary material of quantum axiomatics to be able

  

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

 

Collections: Multidisciplinary Databases and Resources; Physics