Inexistence of Zeeman's fine topology
Mathematical Physics
2010-03-22 v2 math.MP
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 G\"{o}bel'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?
Cite
@article{arxiv.0803.3352,
title = {Inexistence of Zeeman's fine topology},
author = {Norberto Sainz},
journal= {arXiv preprint arXiv:0803.3352},
year = {2010}
}
Comments
Thia paper has been withdrawn by the author because it has been replaced by a new one titled: "Does Zeeman's Fine Topology Exist?