Did Einstein prove E= mc ^{2}?
Abstract
Although Einstein's name is closely linked with the celebrated relation E=mc ^{2} between mass and energy, a critical examination of the more than half dozen "proofs" of this relation that Einstein produced over a span of forty years reveals that all these proofs suffer from mistakes. Einstein introduced unjustified assumptions, committed fatal errors in logic, or adopted lowspeed, restrictive approximations. He never succeeded in producing a valid general proof applicable to a realistic system with arbitrarily large internal speeds. The first such general proof was produced by Max Laue in 1911 (for "closed" systems with a timeindependent energymomentum tensor) and it was generalized by Felix Klein in 1918 (for arbitrary timedependent "closed" systems).
 Publication:

Studies in the History and Philosophy of Modern Physics
 Pub Date:
 2009
 DOI:
 10.1016/j.shpsb.2009.03.002
 Bibcode:
 2009SHPMP..40..167O
 Keywords:

 Special relativity;
 Massenergy relation;
 Energymass relation;
 Einstein;
 Laue;
 Klein