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

Preview

PDF QM_in_Q_Spaces.pdf Download (283kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Domenech, Graciela Holik, Federico Krause, Décio
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 15:16
Item ID:	3957
Subjects:	General Issues > Structure of Theories Specific Sciences > Physics > Quantum Mechanics
Date:	March 2008
URI:	https://philsci-archive.pitt.edu/id/eprint/3957

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item