Biorthogonal quantum mechanics: super-quantum correlations and expectation values without definite probabilities

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dc.contributor.authorChang, Lay Namen
dc.contributor.authorLewis, Zacharyen
dc.contributor.authorMinic, Djordjeen
dc.contributor.authorTakeuchi, Tatsuen
dc.contributor.departmentPhysicsen
dc.date.accessioned2016-10-19T00:00:47Zen
dc.date.available2016-10-19T00:00:47Zen
dc.date.issued2013-12-06en
dc.description.abstractWe propose mutant versions of quantum mechanics constructed on vector spaces over the finite Galois fields GF(3) and GF(9). The mutation we consider here is distinct from what we proposed in previous papers on Galois field quantum mechanics. In this new mutation, the canonical expression for expectation values is retained instead of that for probabilities. In fact, probabilities are indeterminate. Furthermore, it is shown that the mutant quantum mechanics over the finite field GF(9) exhibits super-quantum correlations (i.e. the Bell-Clauser-Horne-Shimony-Holt bound is 4). We comment on the fundamental physical importance of these results in the context of quantum gravity.en
dc.description.versionPublished versionen
dc.format.extent? - ? (24) page(s)en
dc.identifier.doihttps://doi.org/10.1088/1751-8113/46/48/485306en
dc.identifier.issn1751-8113en
dc.identifier.issue48en
dc.identifier.urihttp://hdl.handle.net/10919/73290en
dc.identifier.volume46en
dc.languageEnglishen
dc.publisherIOPen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000327720300013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPhysics, Multidisciplinaryen
dc.subjectPhysics, Mathematicalen
dc.subjectPhysicsen
dc.subjectSTATISTICAL DISTANCEen
dc.subjectSITTER SPACEen
dc.subjectINEQUALITIESen
dc.subjectNONLOCALITYen
dc.subjectHOLOGRAPHYen
dc.subjectGRAVITYen
dc.subjectSTATESen
dc.subjectTIMEen
dc.titleBiorthogonal quantum mechanics: super-quantum correlations and expectation values without definite probabilitiesen
dc.title.serialJournal of Physics A-Mathematical And Theoreticalen
dc.typeArticle - Refereeden
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen

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