Summary
By starting from a variational principle, we reformulate some basic questions of tachyon mechanics, improving (and correcting some relevant signs in) various previous equations, and statements, put forth in the past even by ourselves. Partly as an application, we then revisit the theory of the behaviour expected for tachyons when interacting gravitationally. In a gravitational field, tachyons would seem to be repelled from the kinematical point of view; but they would actually be attracted from the dynamical and energetical point of view. Such considerations might even have a role in astrophysics, as shown elsewhere.
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Work partially supported by INFN, Seziono di Catania, and by CIME/IILA.
On leave of absence from the Dipartimento di Fisica, Università Statale di Catania, Catania, Italy.
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Recami, E., Giannetto, E. Tachyon mechanics and tachyon gravitational interaction. Lett. Nuovo Cimento 43, 267–273 (1985). https://doi.org/10.1007/BF02751918
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DOI: https://doi.org/10.1007/BF02751918