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Basically the title. Take relativity it has the Lorenz factor 1/sqrt(1-(v/c^2)) and if v is not zero it's something that isn't accounted for in classical mechanics. Does that make classical mechanics wrong?
Classical kinetic energy is the lowest series expansion of gamma,.
Classical mechanics is correct up to and including the second order in v.
Many years ago Isaac Asimov (who was a quite capable scientist as well as science fiction author) wrote a pretty decent essay: http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm
But, and unfortunately for such improvised claims, the gamma is a simple classical thing, because easily derivable, for example using the light clock, which is a completely classical entity.
Basically the title. Take relativity it has the Lorenz factor 1/sqrt(1-(v/c^2)) and if v is not zero it's something that isn't accounted for in classical mechanics. Does that make classical mechanics wrong?