NDLI: The Hidden Measurement Formalism: What Can Be Explained and Where Quantum Paradoxes Remain

Content Provider	Springer Nature Link
Author	Aerts, Diederik
Copyright Year	1998
Abstract	In the hidden measurement formalism that we havedeveloped in Brussels we explain quantum structure asdue to the presence of two effects; (a) a real change ofstate of the system under influence of the measurement and (b) a lack of knowledge abouta deeper deterministic reality of the measurementprocess. We show that the presence of these two effectsleads to the major part of the quantum mechanical structure of a theory describing a physicalsystem, where the measurements to test the properties ofthis physical system contain the two mentioned effects.We present a quantum machine, with which we can illustrate in a simple way how the quantumstructure arises as a consequence of the two effects. Weintroduce a parameter that measures the amount of lackof knowledge on the measurement process, and by varying this parameter, we describe acontinuous evolution from a quantum structure (maximallack of knowledge) to a classical structure (zero lackof knowledge). We show that for intermediate values of∈ we find a new type of structure that isneither quantum nor classical. We analyze the quantumparadoxes in the light of these findings and show thatthey can be divided into two groups: (1) The group(measurement problem and Schrodinger cat paradox) where theparadoxical aspects arise mainly from the application ofstandard quantum theory as a general theory (e.g., alsodescribing the measurement apparatus). This type of paradox disappears in the hiddenmeasurement formalism. (2) A second group collecting theparadoxes connected to the effect of nonlocality (theEinstein-Podolsky-Rosen paradox and the violation of Bell's inequalities). We show that theseparadoxes are internally resolved because the effect ofnonlocality turns out to be a fundamental property ofthe hidden-measurement formalism itself.
Starting Page	291
Ending Page	304
Page Count	14
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	37
Issue Number	1
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1998-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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