Distance and Similarity Measures in Generalised Quantum Theory

Axiomathes 21 (2):303-313 (2011)
Abstract
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)
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
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,724
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
Citations of this work BETA

No citations found.

Similar books and articles
Raimo Tuomela (1980). Analogy and Distance. Journal for General Philosophy of Science 11 (2):276-291.
Robert N. Brandon (1978). Evolution. Philosophy of Science 45 (1):96-109.
Rob Clifton (2002). The Subtleties of Entanglement and its Role in Quantum Information Theory. Proceedings of the Philosophy of Science Association 2002 (3):S150-S167.
Analytics

Monthly downloads

Added to index

2010-11-28

Total downloads

45 ( #36,095 of 1,098,599 )

Recent downloads (6 months)

8 ( #26,702 of 1,098,599 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.