Nonstandard Analysis Applied to Relativity
Foundations and Corrections to Einsteins
Special and General Theories of Relativity.
Robert A. Herrmann: It is actually dangerous for me to present the material that appears within this book due to the usual misunderstandings. Any scientist who claims that there are fundamental errors within the foundational methods used to obtain Einsteins General and Special Theories of relativity may be greatly ridiculed by his colleagues who do not read carefully. The reason for this has nothing to do with science but has everything to do with scientific careers, research grants and the like. Thousands upon thousands of individuals have built their entire professional careers upon these two theories and their ramifications. The theoretical science produced is claimed to be rational since it follows the patterns of a mathematical structure. As a mathematician who produces such structures, it is particular abhorrent to the scientific community if I make such a claim. Mathematicians seem to have an unsettling effect upon some members of the physical science community, especially when a mathematician delves into a natural science. After all, it was the mathematician Hilbert who, without any great effort, was actually the first to present, in a public form, the so-called Einstein gravitational field equations
http://www.raherrmann.com/ecpart1.pdf