What `shape' is space-time?
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
Some examples from the mathematics of shape are presented that question some of the almost hidden assumptions behind results on limiting behaviour of finitary approximations to space-time. These are presented so as to focus attention on the observational problem of refinement and suggest the necessity for an alternative theory of `fractafolds' against which the limiting theory of -differential manifolds usually underlying (quantum) general relativity can be measured.
Cite
@article{arxiv.gr-qc/0210075,
title = {What `shape' is space-time?},
author = {Timothy Porter},
journal= {arXiv preprint arXiv:gr-qc/0210075},
year = {2007}
}
Comments
15 pages, 3 figures