Special Relativity: Inertial Frames

Bob and Alice pass by each other collinearly at a relative constant speed.
They reset their clocks to zero at the moment they are colocated.

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Bob Alice t /T x /cT 0 γ 1 0 γ γβ t' /T x' /cT 0 γ 1 0 -γβ
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|v| ϵ [0,1] c = c
τ ϵ [0,1] T = T
β = |v| /c =
γ = √(1-β2)-1 =