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In the case of particles with phenomenal speeds like Vr=6927c, this speed must be transcribed into an observable value,You are confusing rapidity with velocity. Rapidity is related to velocity but it is not a velocity. It is measured as a hyperbolic angle. No object can have a velocity greater than c but rapidity can have any value. The rapidity of light is infinite. The particle with a rapidity (not velocity) of 6927 will have a velocity of v=0.999999990c.
and we set Vo=Vr/sqrt(1+Vr²/c²).
Vo=0.999999990c
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