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Table of ContentsAbstract Introduction Part I: The Equation x' = x - vt Part II: The Equation x = ct Part III: Lorentz, Michelson and Pythagoras Part IV: New Transformation Equations Part V: Relative Velocity of an Approaching Object Part VI: Relative Motion at an Angle Part VII: The Addition of Velocities (two degrees of Relativity) Part VIII: Conclusion Part IX: Inferences (Including the Twin Paradox, Hafele Keating, etc.) Part X: A Prediction (Concerning the Pioneer Anomaly) Appendix A: The Michelson Morley Interferometer Appendix B: The L and t Transforms Appendix C: Einstein's 1905 text (from Annalen der Physik): a line for line analysis of the original math.
In this paper I will show that the first equation of Special Relativity, the famous x' = x - vt, is not applicable to the problem, since it is not Newton's "Principle of Relativity," nor a "Galilei transformation." I will do this with simple algebra.
Only very recently has there begun to be a general acceptance by the status quo that Special Relativity might be subtly flawed in some way. For most of the 20th century, of course, it was sacrosanct. No one in the mainstream would have thought to question it in any way. But now there is beginning to be an accumulation of data that does not fit Einstein's transformation equations precisely. The data that led me to work seriously on the problem was supplied by the Jet Propulsion Lab. For several decades, various space satellites have been found to be acting a bit strangely. They are not where they are predicted to be according to relativistic calculations. The scientists who manage these craft have dismissed any number of explanations for the discrepancy, supplied to them by many of the best technicians in the field. But still the problem is unresolved. It has proven to be such a thorn that the JPL has even gone to the mainstream publications in the United States, begging for help.
This illustration is very much like Einstein's train illustration in the book
~~~~~~~~ Some physicists may now be shaking their heads, saying to themselves, "no, no, no." They will tell me that Einstein's first equation describes a completely different situation than the one I have plotted and critiqued above. They will say that the equation x' = x - vt breaks down in a wholly different way. ~~~~~~~~
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