Overview

In this monograph we attempt to motivate the following question: to the extent that quantum theory is random, regardless of the origin of this randomness, is there anything in the physics that properties of random graphs can model or help to explain? A graph is random if the decision whether or not to attach pairs of vertices with an edge is taken at random. We describe a research programme focussing our attention on some plausible novel links and giving indications of a possible relational or global theory of discrete quantum properties. Our account includes philosophical motivations for the ideas. This work lies at the intersection of philosophy, mathematics and physics; it is a description of a proposed research programme with background notes. The notes are intended more as motivation and sometimes as hints at possible directions for further work, as well as a re-emphasis of results regarded as standard theory. A full mathematization awaits.

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9781500613655

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