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Unformatted text preview: Relativistic Kinematics Lecture II General Relativity (PHY 6938), Fall 2007 Copyright © 2007 by Christopher Beetle futuredirected¡timelike pastdirected¡timelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space • There are fve kinds oF vectors in Minkowski spacetime: • spacelike • timelike • and lightlike. • Timelike and lightlike vectors can be either • Futuredirected • or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 futuredirected¡timelike pastdirected¡timelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space • There are fve kinds oF vectors in Minkowski spacetime: • spacelike • timelike • and lightlike. • Timelike and lightlike vectors can be either • Futuredirected • or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 t = γ ( t v · x/c 2 )  v · x  ≤  v   x  < vc  t x  < c 2  t x  futuredirected¡timelike pastdirected¡timelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space • There are fve kinds oF vectors in Minkowski spacetime: • spacelike • timelike • and lightlike. • Timelike and lightlike vectors can be either • Futuredirected • or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 t = γ ( 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 = γ ( 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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This note was uploaded on 10/21/2011 for the course PHY 6938 taught by Professor Staff during the Spring '08 term at FAU.
 Spring '08
 STAFF
 General Relativity, Light

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