Mathematical quantum theory I: Random ultrafilters as hidden variables

Synthese 107 (1):83 - 143 (1996)
Abstract
The basic purpose of this essay, the first of an intended pair, is to interpret standard von Neumann quantum theory in a framework of iterated measure algebraic truth for mathematical (and thus mathematical-physical) assertions — a framework, that is, in which the truth-values for such assertions are elements of iterated boolean measure-algebras (cf. Sections 2.2.9, 5.2.1–5.2.6 and 5.3 below).The essay itself employs constructions of Takeuti's boolean-valued analysis (whose origins lay in work of Scott, Solovay, Krauss and others) to provide a metamathematical interpretation of ideas sometimes considered disparate, heuristic, or simply ill-defined: the collapse of the wave function, for example; Everett's many worlds'-construal of quantum measurement; and a natural product space of contextual (nonlocal) hidden variables.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00413903
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,178
Through your library
References found in this work BETA
A Treatise of Human Nature.David Hume - 1739/2000 - Oxford University Press.
The Anthropic Cosmological Principle.John D. Barrow - 1986 - Oxford University Press.
Set Theory.Thomas Jech - 2008 - Journal of Symbolic Logic.

View all 19 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

117 ( #41,435 of 2,163,853 )

Recent downloads (6 months)

2 ( #188,913 of 2,163,853 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums