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The simple answer is that tachyons are theoretical particles that travel faster than light.
Beginning in the 1960s, physicists had proposed the existence of faster than light (FTL) particles; but the term 'tachyon' did not appear until 1967 in an edition of Physics Review [Phys.Rev. v.159, pp.1089--1105 (1967)]. You won't need an Ph.D. in physics to follow that article, but it helps.
So far, tachyons cannot be considered 'real' i.e. an observed phenomenon. The current theoretical model of tachyons allows that they can collide with other, slower particles to produce mathematically predictable 'debris' from the collision; but repeated experiments have not detected the expected collisions. Until tachyons are observed, they will remain outside the realm of science fact and reside instead in the dreams of science fiction.
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