This site has been permanently archived. This is a static copy provided by the University of Southampton.
--- 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. altloc: - http://www.vub.ac.be/CLEA/liane/PAPERS00/fop/bell.pdf - http://www.vub.ac.be/CLEA/liane/PAPERS00/fop/bell.ps chapter: ~ commentary: ~ commref: ~ confdates: ~ conference: ~ confloc: ~ contact_email: ~ creators_id: [] creators_name: - family: Aerts given: Diederik honourific: '' lineage: '' - family: Aerts given: Sven honourific: '' lineage: '' - family: Broekaert given: Jan honourific: '' lineage: '' - family: Gabora given: Liane honourific: '' lineage: '' date: 2000-10 date_type: published datestamp: 2004-02-09 department: ~ dir: disk0/00/00/34/16 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: - family: van der Merwe given: Alwyn honourific: '' lineage: '' eprint_status: archive eprintid: 3416 fileinfo: /style/images/fileicons/application_pdf.png;/3416/1/bell.pdf|/style/images/fileicons/application_postscript.png;/3416/2/bell.ps full_text_status: public importid: ~ institution: ~ isbn: ~ ispublished: pub issn: ~ item_issues_comment: [] item_issues_count: 0 item_issues_description: [] item_issues_id: [] item_issues_reported_by: [] item_issues_resolved_by: [] item_issues_status: [] item_issues_timestamp: [] item_issues_type: [] keywords: 'Bell inequalities, quantum, nonlocality, uncertainty, microworld, macroworld, EPR paradox, Pitowsky inequalities, Clauser Horne Inequalities, category, concept, memory, distributed memory, entanglement, radial basis function, conceptual space, content addressability, abstraction, closure, phase transition, association, hierarchy, reminding, reminding' lastmod: 2011-03-11 08:55:28 latitude: ~ longitude: ~ metadata_visibility: show note: ~ number: 9 pagerange: 1387-1414 pubdom: FALSE publication: Foundations of Physics publisher: Plenum/Kluwer refereed: TRUE referencetext: ~ relation_type: [] relation_uri: [] reportno: ~ rev_number: 14 series: ~ source: ~ status_changed: 2007-09-12 16:50:49 subjects: - cog-psy succeeds: 862 suggestions: 'Sorry, had the page numbers wrong.' sword_depositor: ~ sword_slug: ~ thesistype: ~ title: The Violation of Bell Inequalities in the Macroworld type: journalp userid: 352 volume: 30