Abstract
Elementary particles are described as higher-dimensional tachyonic modes. Their electromagnetic inertial mass would not match the gravitational mass unless their scalar hypercharge vanishes. The corresponding unified geometry surrounding an elementary electric monopole is extracted. Remarkably, the ingoing five-dimensional geodetic lines, associated with like-sign charged test particles, cannot classically penetrate the finite three-dimensional spherical core on which the extra-dimensional circle shrinks to a point.
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