Taking Kaluza seriously leads to a non-gauge-invariant electromagnetic theory in a curved space-time

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Kaluza's mertic with the cylinder condition is considered without the weak gravitational field approximation. It is shown that these hypoteses lead to a non-gauge-invariant electromagnetic theory in a curved space-time. The problem of electro-gravitational unification is considered from this point of view.
6 pages, corrected typos

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