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Quasi-spaces an the foundation of quantum mechanics

Domenech, Graciela and Holik, Federico and Krause, Décio (2008) Quasi-spaces an the foundation of quantum mechanics. [Preprint]

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    Abstract

    Our aim in this paper is to take quite seriously Heinz Post's claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a posteriori by introducing symmetry conditions. Using a different mathematical framework, namely, quasi-set theory, we avoid working within a label-tensor-product-vector-space-formalism, to use Redhead and Teller's words, and get a more intuitive way of dealing with the formalism of quantum mechanics, although the underlying logic should be modified. Thus, this paper can be regarded as a tentative to follow and enlarge Heinsenberg's suggestion that new phenomena require the formation of a new ``closed" (that is, axiomatic) theory, coping also with the physical theory's underlying logic and mathematics.


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    Item Type: Preprint
    Keywords: quasi-sets, particle number, Fock space, quantum indistinguishability
    Subjects: General Issues > Structure of Theories
    Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Décio Krause
    Date Deposited: 26 Mar 2008
    Last Modified: 07 Oct 2010 11:16
    Item ID: 3957
    URI: http://philsci-archive.pitt.edu/id/eprint/3957

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