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Time
dilation is easily derived from this equation, using x = vt: τ2
= t2 - x2/c2
= t2 - v2t2/c2 = t2
(1 - v2/c2).
Thus: τ = t (1 - v2/c2)½ . This is usually written: t = γτ
where γ = (1 - v2/c2)-½ . Since 0 <=
v < c, γ>=1. This means that t >= τ , i.e., time dilation.
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