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Gamma rays are a form of electromagnetic radiation, and therefore travel at the speed of light.

This would require an extremely massive gravitational field, i.e. an extremely massive object, on the scale of stars.

The same goes for beta particles; electrons and positrons, who already travel at nearly the speed of light due to their low mass.

Alpha particles, however, due have some mass, and therefore travel at only 5% the speed of light, still fast enough to escape the Earth, but not fast enough to be affected by larger planets, perhaps.

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