Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.
( 15) and ansatz ( 16) result in the following equation [( a d b e ) ( ct x )] T ( 1 0 0 − 1 ) [( a d b e ) ( ct x )] = ( ct x )T ( 1 0 0 − 1 ) ( ct x )
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Demystifying the Lagrangians of special relativity
Derives Lagrangian mechanics for relativistic particles and fields from the postulates of special relativity, recovering E=mc² and Lorentz invariance of EM equations.