lecture02

lecture02 - Relativistic Kinematics Lecture II General...

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Unformatted text preview: Relativistic Kinematics Lecture II General Relativity (PHY 6938), Fall 2007 Copyright 2007 by Christopher Beetle future-directedtime-like past-directedtime-like future-directed light-like space-like past-directed light-like Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: space-like time-like and light-like. Time-like and light-like vectors can be either Future-directed or past-directed. x 2 > x 2 < x 2 = 0 t x > t x < x 2 :=- c 2 t 2 x + | x | 2 future-directedtime-like past-directedtime-like future-directed light-like space-like past-directed light-like Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: space-like time-like and light-like. Time-like and light-like vectors can be either Future-directed or past-directed. x 2 > x 2 < x 2 = 0 t x > t x < x 2 :=- c 2 t 2 x + | x | 2 t = ( t- v x/c 2 ) | v x | | v | | x | < vc | t x | < c 2 | t x | future-directedtime-like past-directedtime-like future-directed light-like space-like past-directed light-like Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: space-like time-like and light-like. Time-like and light-like vectors can be either Future-directed or past-directed. x 2 > x 2 < x 2 = 0 t x > t x < x 2 :=- c 2 t 2 x + | x | 2 t = ( t- v x/c 2 ) | v x | | v | | x | < vc | t x | < c 2 | t x | Causal Kinematical Effects Length Contraction An inertial observer O carries a ruler of length L at speed v past an inertial observer O . How long does O measure it to be? A B C D t t x x x 1 = L = ( x 1- vt ) Length Contraction An inertial observer O carries a ruler of length L at speed v past an inertial observer O ....
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lecture02 - Relativistic Kinematics Lecture II General...

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