- #1
facenian
- 436
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Hello.The way the transformation of coordenates in Special Relativity are ussually derived presuposes linearity or try do demostrate such linearity using wrong arguments. For example some authors state that since linear and uniform motion remains linear and uniform after the transformation this fact imposes linearity, however this simply is not true as is demostrated(for instance) in J. Aharoni's "The Special Theory of Relattivity" where he shows a particular not linear transformation which transforms a uniform motion along a straight line into a similar kind of motion. Other authors simply state that the principle of relativity+homogeinity and isotropy of space-time imposes linearity but don't give details of how this come about.
Is there a correct,rigorous demostration for linearity from first principles, in which case where can one find it ?
Is there a correct,rigorous demostration for linearity from first principles, in which case where can one find it ?