[1009.5523] On the metric structure of space-time

Authors: Jochen Rau

Date: 28 Sep 2010

Abstract: I present an analysis of the physical assumptions needed to obtain the metric structure of space-time. For this purpose I combine the axiomatic approach pioneered by Robb with ideas drawn from works on Weyl's "Raumproblem". The concept of a Lorentzian manifold is replaced by the weaker concept of an "event manifold", defined in terms of volume element, causal structure and affine connection(s). Exploiting properties of its structure group, I show that distinguishing Lorentzian manifolds from other classes of event manifolds requires the key idea of general relativity: namely that the manifold's physical structure, rather than being fixed, is itself a variable.

abs pdf

Sep 29, 2010

1009.5523 (/preprints)
2010-09-29, 15:36 [edit]

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Tantum in modicis, quantum in maximis