Physics 197 Lecture 30: Coordinate Transformations
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Physics 197 Full Course Notes
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Two-observer spacetime diagram: a spacetime diagram where the coordinate axes of two different observers are superimposed on events in spacetime. The t" axis is a worldline with a slope of 1/ (beta: calibrate this axis by drawing marks whose vertical separation is (gamma) = (1- Calibrate the x" axis the same as the t" axis, only with a slope of . To read the diagram, draw lines parallel to the t" and x" axis from the event until each intersects the other axis. (cid:791)t" = ((cid:791)t - (cid:791)x) (cid:791)t = ((cid:791)t" + (cid:791)x") Other frame moving in the +x direction relative to the home frame.
