English

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

General Relativity and Quantum Cosmology 2007-05-23 v2 High Energy Physics - Theory Quantum Physics

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\Q. In the present paper, we show how this theory can be applied to the special case when \Q\Q is a category of sets. This includes the physically important examples where \Q\Q is a category of causal sets, or topological spaces.

Keywords

Cite

@article{arxiv.gr-qc/0304077,
  title  = {A New Approach to Quantising Space-Time: II. Quantising on a Category of Sets},
  author = {C. J. Isham},
  journal= {arXiv preprint arXiv:gr-qc/0304077},
  year   = {2007}
}

Comments

Latex2e; minor changes only