Author(s)

Stephen J. Crothers

Institute for Basic Research, Palm Harbor, FL, USA.

It has been critically argued by V. A. Leus (Sobolev Institute of Mathematics, Novosibirsk, Russia) that in my proof that Einstein’s Special Theory of Relativity is logically inconsistent and therefore false, I violated the basic tenets of Special Relativity and foisted an alternative theory upon Einstein’s. A careful study of the critical analysis reveals however a failure to address the key arguments I adduced to prove Special Relativity logically inconsistent, and a concomitant invocation of Einstein’s theory to try to argue that my analysis is incorrect because it does not concur with Einstein. There is therefore no proof advanced of any alleged error in my analysis. In my paper I did not introduce an alternative theory. The aforementioned critical paper affords opportunity in rebuttal to amplify the invalidity of A. Einstein’s tacit assumption, in constructing the Special Theory of Relativity, that systems of clock-synchronised stationary observers consistent with Lorentz Transformation can be mathematically constructed. Since such systems of observers have in fact no mathematical existence the Special Theory of Relativity is logically inconsistent. It is therefore invalid. The consequences for physics, astronomy, and cosmology, are significant.

Special Relativity, Simultaneity, Stationary Observers, Clock-Synchronised Observers, Lorentz Transformation, Time

Crothers, S. (2018) Reply to “Critical Comments on the Paper ‘On the Logical Inconsistency of the Special Theory of Relativity’”. Journal of Applied Mathematics and Physics, 6, 1230-1241. doi: 10.4236/jamp.2018.66103.