Source: /cirosantilli/spacetime-diagram

= Spacetime diagram
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Why should I care when I can calculate new x and new time with <Lorentz transformation>?

Answer: it can give some qualitative intuition on what is larger/smaller happens before/after based only on arguably more intuitive geometric considerations, without requiring you to do any calculations, see e.g. <image Spacetime diagram illustrating how faster-than-light travel implies time travel>.