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arXiv · 0803.4517

Q-spaces and the foundations of quantum mechanics

G. Domenech·F. Holik·D. Krause
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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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G. Domenech, F. Holik, D. Krause. 2008-03-31. Q-spaces and the foundations of quantum mechanics. https://doi.org/10.1007/s10701-008-9246-9

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