A Nonstandard Derivation for the Special Theory of Relativity
  Using properties of the nonstandard physical world, a new fundamental derivation for all of the effects of the Special Theory of Relativity is given. This fundamental derivation removes all the contradictions and logical difficulties in the original derivation and leads to the fundamental expressions from which Prokhovnik derives the basic transformations. However, it is shown that the correct interpretation is completely distinct from Prokhovnik's. It is shown that the Special Theory effects are but manifestations of the interaction between our natural world and a nonstandard substratum. This derivation eliminates the controversy associated with any physically unexplained universal time dilation and length contraction. It is shown that there is no such thing as a universal time dilation and length contraction but, rather, there are alterations in pure numerical quantities associated with an electromagnetic interaction with a NSP-world substratum. 
Robert A. Herrmann