When people think about great scientific developments, the subject often turns to Einstein’s relativity theory. There is a widespread belief that Einstein was perhaps the greatest scientist in the 20th century. It is nonetheless true that various predictions of his theory have been shown to be incorrect. His belief in the Lorentz Transformation (LT) is a good example. Einstein applied it to conclude that two observers can agree on the value of the speed of light even though one finds that the distance traveled is smaller (FitzGerald-Lorentz length contraction) while the corresponding elapsed time for this to occur is larger (time dilation) than what the other finds. Since speed is a ratio of distance traveled to elapsed time, this is impossible in reality. Many other such inconsistencies are discussed below. Despite Einstein’s failure to maintain absolute logical consistency in his arguments, there is an overwhelming tendency for scientists to ignore such problems. This amounts to a kind of hero worship. It has blocked the development of a satisfactory relativistic theory over the past century. Unfortunately, support for this procedure is provided by the top physics journals in the field, as reported explicitly in what follows.