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Instead, consider the spacetime vector (Q-A) i.e. the interval from
A to Q. In some chosen frame F it has components [t, x]_@F.
-- Simultaneity in frame F means t_@F = 0.
-- In some other frame G, Q will be later than A, i.e. t_@G > 0.
-- In some other frame H, Q will be earlier than A, i.e. t_@H < 0.
-- Simultaneity in frame F means t_@F = 0.
-- In some other frame G, Q will be later than P, i.e. t_@G > 0.
-- In some other frame H, Q will be earlier than P, i.e. t_@H < 0.