Top Document: Invariant Galilean Transformations On All Laws Previous Document: 7. The Crackpots' Version of the Transforms. Next Document: 9. But Doesn't x.c'=x.c? See reader questions & answers on this topic!  Help others by sharing your knowledge The crackpots' positions/arguments were put to sci.math in such a way that at least two or three who posted re sponses thought it was your faqer who was on the idiot's side of the questions. Their responses:  I. x0' = x0. In other words: x0' <> x0vt, or "constant values on the xaxis are not subject to the transform". AA: ==================================================================== No. x0' = x0  vt. Well, if you want, you could define "constant values on the xaxis", but in the context of the question that is not relevant. The relevant fact is that if the unprimed observer holds an object at point x0, then the primed observer assigns to that object a coordinate x0' which is numerically related to x0 by x0'= x0 vt. AA: ==================================================================== EE: ==================================================================== What does this mean? The line x=x0 will give x'=xv*t=x0vt', so if x0' is to give the coordinate in the (x',t',)system, it will be given by x0'=x0v*t': ie., it is not given by a constant. Thus, being at rest (constant xcoordinate) is a coordinatedependent concept. EE: ==================================================================== GG: ==================================================================== Sounds very false. We can say that the representation of the point X0 is the number x0 in the unprimed system, and x0' in the primed system. Clearly x0 and x0' are different, if vt is not zero. However one may say that (though it sounds/is stupid) the point X0 itself "is the same throughout the transformation". However that expression sounds meaningless, since a transform (ok, maybe we should call it a change of basis) is only a function that takes the point's representation in one system into the same point's representation in another system. It is preferrable to use three notations: X0 for the point itself and x0 and x0' for the points' representations in some coordinate systems. GG: ==================================================================== User Contributions:Comment about this article, ask questions, or add new information about this topic:Top Document: Invariant Galilean Transformations On All Laws Previous Document: 7. The Crackpots' Version of the Transforms. Next Document: 9. But Doesn't x.c'=x.c? 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
