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Unformatted text preview: PHY190 Lecture #11 November 14, 2007 R6.5 Reading Two Observer Diagrams • For event Q read off ( t Q ; x Q ) in the usual way. • Read off t Q by projecting parallel to the x axis. • Read off x Q by projecting parallel to the t axis. • Ticks on t axis are γ further apart (follow the hyperbola back to the t axis to compare times). • Ticks on x axis are γ further apart (follow the hyperbola back to the x axis to compare distances). R7 Length Contraction • Have discussed at length how special relativity can alter two observers’ perceptions of time. • From the Lorentz transformations we can see it will also alter our notion of length R7.1 Define Length • An object’s length, in a given inertial frame, is defined to be the distance between any two simultaneous events that occur at its ends. • Just a “common sense” notion of length expressed in our relativistic language of events....
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- Fall '08
- Special Relativity, Lorentz, home frame