Search results for "inconsistent connectedness"

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Contextuality Analysis of the Double Slit Experiment (With a Glimpse Into Three Slits)

2018

The Contextuality-by-Default theory is illustrated on contextuality analysis of the idealized double-slit experiment. The experiment is described by a system of contextually labeled binary random variables each of which answers the question: has the particle hit the detector, having passed through a given slit (left or right) in a given state (open or closed)? This system of random variables is a cyclic system of rank 4, formally the same as the system describing the EPR/Bell paradigm with signaling. Unlike the latter, however, the system describing the double-slit experiment is always noncontextual, i.e., the context-dependence in it is entirely explainable in terms of direct influences of…

Rank (linear algebra)inconsistent connectednessGeneral Physics and AstronomyFOS: Physical scienceslcsh:Astrophysics01 natural sciencesArticledirect influencesProbability theoryRealizabilitylcsh:QB460-4660103 physical sciencesFOS: MathematicscontextualitykvanttimekaniikkaStatistical physicslcsh:Science010306 general physicskvanttiteoriadouble-slitMathematicsQuantum Physicstriple-slitta114010308 nuclear & particles physicsta111Probability (math.PR)Observablecontext-dependencelcsh:QC1-999Constraint (information theory)Double-slit experimentcontext-dependence; contextuality; direct influences; double-slit; inconsistent connectedness; signaling; triple-slitlcsh:QMarginal distributiontodennäköisyyssignalingQuantum Physics (quant-ph)81P13 81Q99 60A99Random variablelcsh:PhysicsMathematics - Probability
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Is there contextuality in behavioural and social systems?

2015

Most behavioral and social experiments aimed at revealing contextuality are confined to cyclic systems with binary outcomes. In quantum physics, this broad class of systems includes as special cases Klyachko-Can-Binicioglu-Shumovsky-type, Einstein-Podolsky-Rosen-Bell-type, and Suppes-Zanotti-Leggett-Garg-type systems. The theory of contextuality known as Contextuality-by-Default allows one to define and measure contextuality in all such system, even if there are context-dependent errors in measurements, or if something in the contexts directly interacts with the measurements. This makes the theory especially suitable for behavioral and social systems, where direct interactions of "everythin…

Matching (statistics)Class (set theory)Computer scienceGeneral Mathematicsinconsistent connectednessFOS: Physical sciencesGeneral Physics and AstronomyWorking hypothesisPublic opinion01 natural sciences050105 experimental psychology0103 physical sciencesFOS: Mathematicscontextuality0501 psychology and cognitive sciences010306 general physicsta515Quantum Physicsbusiness.industryOptical illusionProbability (math.PR)ta11105 social sciencescyclic systemsGeneral EngineeringKochen–Specker theorem81P13 81Q99 60A99 81P13 81Q99 60A99 81P13 81Q99 60A99Social systemFOS: Biological sciencesQuantitative Biology - Neurons and CognitionNeurons and Cognition (q-bio.NC)Quantum Physics (quant-ph)businessSocial experimentMathematics - ProbabilityCognitive psychologyPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Contextuality Analysis of the Double Slit Experiment (with a Glimpse into Three Slits)

2018

The Contextuality-by-Default theory is illustrated on contextuality analysis of the idealized double-slit experiment. The experiment is described by a system of contextually labeled binary random variables each of which answers the question: Has the particle hit the detector, having passed through a given slit (left or right) in a given state (open or closed)? This system of random variables is a cyclic system of rank 4, formally the same as the system describing the Einsten-Podolsky-Rosen-Bell paradigm with signaling. Unlike the latter, however, the system describing the double-slit experiment is always noncontextual, i.e., the context-dependence in it is entirely explainable in terms of d…

kontekstuaalisuustriple-slitdirect influencesinconsistent connectednesskvanttimekaniikkacontext-dependencesignalingtodennäköisyyskvanttiteoriadouble-slit
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