Distance and Similarity Measures in Generalised Quantum Theory

Axiomathes 21 (2):303-313 (2011)
A summary of recent experimental results shows that entanglement can be generated more easily than before, and that there are improved chances for its persistence. An eminent finding of Generalised Quantum Theory is the insight that the notion of entanglement can be extended, such that, e.g., psychological or psychophysical problem areas can be included, too. First, a general condition for entanglement to occur is given by the term ‘common prearranged context’. A formalised treatment requires a quantitative definition of the similarity or dissimilarity between two complex structures which takes their internal structures into account. After some specific remarks on distance, metrics, and semi-metrics in mathematics, a procedure is described for setting up a similarity function with the required properties. This procedure is in analogy with the two-step character of measurement and with the well-known properties of perspective notions. A general methodology can be derived for handling perspective notions. Finally, these concepts supply heuristic clues towards a formalised treatment of the notions of ‘meaning’ and ‘interpretation’
Keywords Distance function  Entanglement  Generalised Quantum Theory  Macro-entanglement  Metric  Perspective notions  Semi-metric  Similarity measure
Categories (categorize this paper)
DOI 10.1007/s10516-010-9137-5
 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: 29,478
Through your library
References found in this work BETA

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Analogy and Distance.Raimo Tuomela - 1980 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 11 (2):276-291.
Do We Really Understand Quantum Mechanics?Franck Laloë - 2012 - Cambridge University Press.
Entanglement and Open Systems in Algebraic Quantum Field Theory.Rob Clifton & Hans Halvorson - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (1):1-31.
Evolution.Robert N. Brandon - 1978 - Philosophy of Science 45 (1):96-109.
The Subtleties of Entanglement and its Role in Quantum Information Theory.Rob Clifton - 2002 - Proceedings of the Philosophy of Science Association 2002 (3):S150-S167.
The Structural Metaphysics of Quantum Theory and General Relativity.Vincent Lam & Michael Esfeld - 2012 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):243-258.
Added to PP index

Total downloads
127 ( #38,757 of 2,180,556 )

Recent downloads (6 months)
3 ( #105,114 of 2,180,556 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums