Entanglement and the quantum spatial continuum

John V. Corbett*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    Abstract

    The non-locality of entangled systems provides more evidence that the spatial continuum of quantum particles is not classical. We assume that physical quantities take Dedekind real numbers in a topos for their numerical values. This means that the quantum spatial continuum is isomorphic to R D(EJ(M))3, where RD(E J(M)) the sheaf of Dedekind real numbers in the topos Shv(E J(M) of sheaves on the state space of the quantum system. In such a continuum, a single particle can have a quantum trajectory which passes through two classically separated slits and two particles in an entangled condition stay close to each other in their quantum space and hence Einstein locality is retained.

    Original languageEnglish
    Title of host publication75 Years of Quantum Entanglement
    Subtitle of host publicationFoundations and Information Theoretic Applications - S. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium
    EditorsDipankar Home, Guruprasad Kar, Archan S. Majumdar
    Place of PublicationCollege Park, MD
    PublisherAmerican Institute of Physics
    Pages34-41
    Number of pages8
    Volume1384
    ISBN (Print)9780735409453
    DOIs
    Publication statusPublished - 2011
    EventS. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium on 75 Years of Quantum Entanglement: Foundations and Information Theoretic Applications - Kolkata, India
    Duration: 6 Jan 201110 Jun 2011

    Other

    OtherS. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium on 75 Years of Quantum Entanglement: Foundations and Information Theoretic Applications
    CountryIndia
    CityKolkata
    Period6/01/1110/06/11

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