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arXiv · 1003.3703

Does Zeeman's Fine Topology Exist?

Norberto Sainz
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Abstract

We work on the family of topologies for the Minkowski manifold M. We partially order this family by inclusion to form the lattice \Sigma(M), and focus on the sublattice Z of topologies that induce the Euclidean metric space on every time axis and every space axis. We analyze the bounds of Z in the lattice \Sigma(M), in search for its supremum. Our conclusion --that such a supremum does not belong in Z-- is compared with constructive proofs of existence of the fine topology, defined as the maximum of Z and conceived to play an essential role in contemporary physical theories. Essential mathematical and physical questions arise.

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Norberto Sainz. 2010-03-19. Does Zeeman's Fine Topology Exist?. https://arxiv.org/abs/1003.3703

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