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

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

2003-04-22

arxiv.org/abs/gr-qc/0304077v2

Adv.Theor.Math.Phys. 7 (2004) 807-829

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e; minor changes only

Scientific paper

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.

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