Two common misconceptions about the theory of Special Relativity that areactively taught in textbooks are discussed. It is shown, first, that theLorentz transformations are actually transformations of the coordinates of aphoton, not the coordinates of a particle as taught by some authors. Secondly,a misconception concerning the relativistic Lagrangian is discussed. It isshown that the currently accepted formulation of the Lagrangian is missing animportant constant of integration. By incorporating the missing constant ofintegration, the new Lagrangian directly supports the conclusions reachedpreviously by the author concerning the mass-energy equivalence principle.
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