Metodo

International Studies in Phenomenology and Philosophy

Journal | Volume | Article

173779

Distance and similarity measures in generalised quantum theory

Dieter Gernert

pp. 303-313

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'.

Publication details

Published in:

Walach Harald, von Stillfried Nikolaus (2011) Generalizing Quantum theory. Axiomathes 21 (2).

Pages: 303-313

Full citation:

Gernert Dieter (2011) „Distance and similarity measures in generalised quantum theory“. Axiomathes 21 (2), 303–313.