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arXiv · 0803.3352

Inexistence of Zeeman's fine topology

Norberto Sainz
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Abstract

The family of topologies that induce the Euclidean metric space on every time axis and every space axis exhibits no maximal element when partially ordered by the relation ``finer than'', as demonstrated in this article. One conclusion and two reflections emerge and are addressed herein: Conclusion: a. Zeeman's fine topology [1] and Göbel's extension to arbitrary spacetimes [2] do not exist. Reflections: a. Both authors' attempts may be classified as type-2 strategies, within the taxonomy of [3]. b. How could these inexistent topologies be used for decades?

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Norberto Sainz. 2010-03-19. Inexistence of Zeeman's fine topology. https://arxiv.org/abs/0803.3352

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