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Hi Brett,
Have not re-read the article, but mathematically I think it's best understood as a rearrangement of the Lorentz Transformation equation for time dilation. In this case:
T(superparticle) = T(Earth) x SQRT[ 1 -(v/c)**2 ]
where
v = superparticle speed (relative to us)
c = speed of light
So if the particle were a photon travelling at the speed of light, the the elapsed time experienced by the photon would be zero.
What's also interesting is that the equation has been verified as accurate by a wide variety of experiments.
Amazing thing to get our head around isn't it!
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