info:oai:philsci-archive.pitt.edu:3957info:ofi/fmt:xml:xsd:oai_dc
Quasi-spaces an the foundation of quantum mechanics
Domenech, Graciela
Holik, Federico
Krause, Décio
Structure of Theories
Quantum Mechanics
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.
2008-03
Preprint
NonPeerReviewed
application/pdf
http://philsci-archive.pitt.edu/3957/1/QM_in_Q_Spaces.pdf
Domenech, Graciela and Holik, Federico and Krause, Décio (2008) Quasi-spaces an the foundation of quantum mechanics. [Preprint]
http://philsci-archive.pitt.edu/3957/