Volume 23: Pages 137-143, 2010
Contesting and testing infinitesimal Lorentz transformations and the associated equivalence principle
Ronald R. Hatch 1
11142 Lakme Avenue, Wilmington, California 90744, USA
Evidence is presented to show that infinitesimal Lorentz transformations (ILTs) contradict the “clock hypothesis” that acceleration affects the clock rate only indirectly through the resultant velocity. But the clock hypothesis has substantial supporting experimental evidence. It is also shown that the equivalence principle, upon which the general relativity is based, depends on the validity of ILTs. In addition, a fairly simple Mössbauer experiment on the International Space Station is suggested, which would clearly indicate whether or not the ILTs are valid. However, it is also shown that a careful consideration of clocks on the earth already provides equivalent experimental data, which indicates that ILTs are invalid.
Keywords: Infinitesimal Lorentz Transformations, Special Theory of Relativity, General Theory of Relativity, Accelerating Frame, Speed of Light, Equivalence Principle, Mössbauer Effect, Sagnac Effect, Twin Paradox
Received: February 24, 2009; Accepted: January 13, 2010; Published Online: March 1, 2010