A geometrical unification of gravitation and electromagnetism in five-dimensional space-time

Mathematics – General Mathematics

Scientific paper

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36 pages

Scientific paper

We consider in this paper, the geometrization of classical physics, i.e gravitation and electromagnetism. The goal is therefore to show that all the usual physical concepts, such as mass, energy, charge, trajectory, Maxwell-Lorentz law, are only various aspects of the geometry, for exemple curvature, of spacetime considered as a Lorentzian manifold; that is no object is "put" in spacetime, no laws are given, everything is only geometry. We show why this goal is probably inaccessible in dimension 4, and put forward, while studying this case, the concepts leading to a solution in a five-dimensional spacetime. The solution we propose does not use truly new mathematics, but more a different view of the classical axiomatism of the classical theories, and in particular the suppression of an hypothesis usually made about the Ricci curvature, unjustified from our point of view. This work is therefore in the continuation of the various attempts made since Einstein, Weyl, Nordstrom, Kaluza, Klein, Rainich, Wheeler.

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