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What `shape' is space-time?

Timothy Porter
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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 $C^\infty$-differential manifolds usually underlying (quantum) general relativity can be measured.

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Timothy Porter. 2002-10-22. What `shape' is space-time?. https://arxiv.org/abs/gr-qc/0210075

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