What a great resource - bookmarked. There are oodles of false conceptions about SR. If I had to identify one common theme to all of these errors (and the popular errors about QM), it is forgetting that science is about observation and experiment - the maths are just a tool for organizing observed phenomena and guiding further research in an efficient way that hopefully gives us some insight into the nature of physical causality. So, when the popularizers start saying things like, "Physicists have proved the existence of unobserved dark matter and dark energy" (to take one bit of popular science mumbo-jumbo, for example), they are just taking mathematical models and reifying their components as though those components have been actually observed! Instead, mathematical models of physics often use hypothetical components that are merely inferred from experimental data - such as dark matter/energy. At the end of the day, all these formulas describe what happens (or could happen) in a laboratory, in an observatory, and so on. Without that connection to empirical measurement, physics is just really crappy, hard-to-use math.