Top Document: Einstein (1905) Absurdities Previous Document: 8. The data scale degradation absurdity. Next Document: 10. The Relativistic Maxwell absurdity. See reader questions & answers on this topic!  Help others by sharing your knowledge Above we have shown that there is a problem with Einstein's idea that simultaneity is not absolute across inertial frames. Here, we add one more demonstration, based on insisting on use of the generalized cartesian coordinate form in our transformed equations, as a means of avoiding data degradation from ratio scale to interval scale. Using analytic geometry's obvious (xx0) form, where x0 is an important 'anchor' or 'centroid' such as a circle center, we apply the SR transforms, x'=gxgvt, and t'=gtgxv/cc. (a) (x'x0')=[ g(xvt)  g(x0vt) ] = g(xx0); this shows (1) that the transform is thus a rescaled invariant, and (2) one x transforms to only one x', regardless of t. (b) (t't0')=[ g(tvx/cc)  g(t0vx/cc) ] = g(tt0); this shows (1) that the transform is thus a rescaled invariant, and (2) one t transforms to only one t', regardless of x. (c) therefore any pair of points (xa,tc), (xb,tc) transform to one and only one (xa',tc') and (xb',tc') pair, which shows that time transformed intervals do not depend on location and therefore absolute simultaneity holds. (d) therefore any pair of points (xc,ta), (xc,tb) transform to one and only one (xc',ta') and (xc',tb') pair, which shows that spatial transformed intervals do not depend on time, and therefore absolute spatial congruence holds. User Contributions:Comment about this article, ask questions, or add new information about this topic:Top Document: Einstein (1905) Absurdities Previous Document: 8. The data scale degradation absurdity. Next Document: 10. The Relativistic Maxwell absurdity. Single Page [ Usenet FAQs  Web FAQs  Documents  RFC Index ] Send corrections/additions to the FAQ Maintainer: Thnktank@concentric.net (Eleaticus)
Last Update March 27 2014 @ 02:12 PM
