Question: Let z and t be the difference between the space coordinates and the time coordinates of a pair of events. Show that, for at least

Let Δz and Δt be the difference between the space coordinates and the time coordinates of a pair of events. Show that, for at least some pairs of events, a Lorentz transformation of these differences does not reduce to a Galilean transformation in the limit of very low boost speed. Are the events in question space-like or time-like?

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