A neutral-tachyon deflection in the sun's gravitational field

Physics

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Gravitational Effects, Neutral Particles, Relativistic Effects, Solar Gravitation, Tachyons, Deflection, Minkowski Space, Particle Mass, Particle Motion, Schwarzschild Metric, Space-Time Functions

Scientific paper

It is shown that if the gravitational mass of a tachyon is exactly equal to the magnitude of its imaginary rest mass, tachyons will move along geodesics in a gravitational field. An expression is given for the proper distance of tachyons in terms of the Minkowskian metric which enables the calculation of the Schwarzschild metric in the general relativistic part, which converges to the Minkowskian metric in the limit of a locally flat space-time. Geodesic equations for a tachyon are derived, and it is shown that the deflection of a neutral tachyon in the sun's gravitational field is three-fourths the deflection of a photon. The deflection decreases monotonically with increasing tachyon velocity, and at infinite speed, the deflection of a neutral tachyon towards the sun is half that of a photon.

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