A qr-number description of the two-slit experiment

John V. Corbett

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

    Abstract

    The two-slit experiment for a massive scalar particle is described using quantum real numbers (qr-numbers) as the numerical values of the particle’s position and momentum. The model assigns physical reality to single quantum particles enabling it to describe the build up of the interference pattern. The qr-numbers are Dedekind real numbers in the topos of sheaves on the state space of the particle. Propositional truth values are given by open subsets of state space, each interpreted as the complete state of a single particle and called its condition. Each condition determines quantum real number values for all the particle’s attributes. The spatial locations of quantum particles form a non-classical spatial continuum such that a single particle can have a trajectory that passes through two classically separated slits while not being detectable in either slit. Questions about the behaviour of single particles, unanswered in the standard quantum description, are answered.
    Original languageEnglish
    Title of host publicationTheoretical Physics and its new Applications
    EditorsT. F. Kamalov
    Place of PublicationMoscow
    PublisherMoscow Institute of Physics and Technology
    Pages22-37
    Number of pages16
    ISBN (Print)9785741705193
    Publication statusPublished - 2014
    EventInternational Conference on Theoretical Physics (3rd : 2013) - Moscow, Russia
    Duration: 24 Jun 201328 Jun 2013

    Conference

    ConferenceInternational Conference on Theoretical Physics (3rd : 2013)
    CityMoscow, Russia
    Period24/06/1328/06/13

    Keywords

    • real numbers in a sheaf
    • locatlity in quantum space
    • quantum measurement

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