Simultaneity in K and K’

Knowing the value of λ, we can tell exactly how t' changes along the x-axis:

(Theorem) At any given time t in K, the corresponding time t' in K' decreases as the x-coordinate increases. For an increase of Δx, there is a decrease in t' by Δx · (v / c2) / √1 – v2   / c2   .

So two events that are simultaneous in K do not happen at the same time in K' unless they have the same x-coordinate.

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