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    Quantum F-un: the q=1 limit of Galois field quantum mechanics, projective geometry and the field with one element

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    Date
    2014-10-10
    Author
    Chang, Lay Nam
    Lewis, Zachary
    Minic, Djordje
    Takeuchi, Tatsu
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    Abstract
    We argue that the q = 1 limit of Galois Field Quantum Mechanics, which was constructed on a vector space over the Galois Field Fq = GF(q), corresponds to its ‘classical limit,’ where superposition of states is disallowed. The limit preserves the projective geometry nature of the state space, and can be understood as being constructed on an appropriately defined analogue of a ‘vector’ space over the ‘field with one element’ F1.
    URI
    http://hdl.handle.net/10919/73242
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    • All Faculty Deposits [3603]
    • Scholarly Works, Department of Physics [847]

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