vix.ing · top · new · best · stats · spec

A New Approach to Quantising Space-Time: II. Quantising on a Category of Sets

2003/04/30 by C. J. Isham
Physics and Astronomy · #gr-qc #hep-th #quant-ph

paper · pdf

published as Adv.Theor.Math.Phys. 7 (2004) 807-829 · Latex2e; minor changes only

arxiv created 2004/01/07 · arxiv updated 2009/11/30

Abstract

In a recent paper by the author, a new approach was suggested for quantising space-time, or space. This involved developing a procedure for quantising a system whose configuration space--or history-theory analogue--is the set of objects in a (small) category \Q. In the present paper, we show how this theory can be applied to the special case when \Q is a category of sets. This includes the physically important examples where \Q is a category of causal sets, or topological spaces.

Related