Foundations of Physics 25 (8):1185-1208 (1995)

It will be shown that the probability calculus of a quantum mechanical entity can be obtained in a deterministic framework, embedded in a real space, by introducing a lack of knowledge in the measurements on that entity. For all n ∃ ℕ we propose an explicit model in $\mathbb{R}^{n^2 } $ , which entails a representation for a quantum entity described by an n-dimensional complex Hilbert space þn, namely, the “þn,Euclidean hidden measurement representation.” This Euclidean hidden measurement representation is also in a more general sense equivalent with the orthodox Hilbert space formulation of quantum mechanics, since every mathematical ingredient of ordinary quantum mechanics can easily be translated into the framework of these representations
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF02055257
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,290
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Lattice Theory.Garrett Birkhoff - 1940 - Journal of Symbolic Logic 5 (4):155-157.

Add more references

Citations of this work BETA

The Observer Effect.Massimiliano Sassoli de Bianchi - 2013 - Foundations of Science 18 (2):213-243.
The Entity and Modern Physics.Diederik Aerts - 1998 - In Elena Castellani (ed.), Interpreting Bodies. Princeton University Press. pp. 223--257.

Add more citations

Similar books and articles

Quantum Mechanics on Finite Groups.Stan Gudder - 2006 - Foundations of Physics 36 (8):1160-1192.
Survey of a Quark Model.Stanley P. Gudder - 1982 - Foundations of Physics 12 (11):1041-1055.
Division Algebras and Quantum Theory.John C. Baez - 2012 - Foundations of Physics 42 (7):819-855.
Quantum Logics and Hilbert Space.Sylvia Pulmannová - 1994 - Foundations of Physics 24 (10):1403-1414.
Two Dogmas About Quantum Mechanics.Jeffrey Bub & Itamar Pitowsky - 2007 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.


Added to PP index

Total views
33 ( #347,893 of 2,519,267 )

Recent downloads (6 months)
2 ( #271,748 of 2,519,267 )

How can I increase my downloads?


My notes