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In Galilean relativity space and time coordinates are unconnected . Consequently under Galilean transformations the infinitesimal elements of distance and time are separately invariant . Thus ds ? = dx2 + dy2 + dz ?
11.10 , in which the time axis ( actually ct ) is vertical and the space axes are perpendicular to it . For simplicity only one space dimension is shown . At t = 0 a physical system , say a particle , is at the origin .
Hence f must be the space part of a 4 - vector fu where : a = ( 1,1 % ) , Ju = = Fund , ( 11.129 ) To see the meaning of the fourth component of the force - density 4 - vector we write out 1 14 ( 11.130 ) But ( E • J ) is just the rate ...
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Introduction to Electrostatics
BoundaryValue Problems in Electrostatics I
TimeVarying Fields Maxwells Equations Con
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