Lect3 - Lecture 3 Space-time diagrams & worldlines...

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Unformatted text preview: Lecture 3 Space-time diagrams & worldlines Lorentz length contraction Time dilation Relative velocity Summary of Lecture 2 Michelson-Morley Experiment: speed of light is independent of reference frame -- no ether Einsteins postulates of special relativity: Principle of relativity: no absolute reference frame Principle of constancy: speed of light same in all inertial frames Lorentz transformation: x ' = ! x " vt ( ) t ' = ! t " # c x $ % & ( ) Lorentz Transformation: Review x ' = ! x " vt ( ) t ' = ! t " # c x $ % & ( ) ! = v c " = 1 1 # ! 2 We will consider relative motion only along one axis ( x ) -- so y and z coordinates remain the same. Note that the Lorentz transformation equations have no meaning for v > c. Hence, we always have: ! " 1 and # $ 1 Space-time diagrams Spacetime diagrams provide a useful means to visualize events in special theory of relativity. Each point on a spacetime diagram represents an event with coordinates ( x , ct )....
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This note was uploaded on 05/08/2008 for the course PHYS 237 taught by Professor Stephonalexander during the Spring '08 term at Pennsylvania State University, University Park.

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Lect3 - Lecture 3 Space-time diagrams & worldlines...

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