Top Document: Einstein (1905) Absurdities Previous Document: 3. The light direction absurdity. Next Document: 5. The amazing transverse gamma absurdity. See reader questions & answers on this topic!  Help others by sharing your knowledge Perhaps the most marvelous thing about Einstein's Special Relativity derivation is the math he used to get from his tau function in t and x' to his tau=f(t,x) transform. [We let his a=phi(v)=1, as he concludes later.] [1] tau = (tvx'/(ccvv)). [2] tau = (tvx/cc)/sqrt(1(v/c)^2). First of all, to get to [2], we certainly have to rid [1] of x'. x'=xvt. [3] tau = (tv(xvt)/(ccvv)) = (tcctvvvxvvt)/(ccvv) = (tcc  vx)/(ccvv) Now, divide numerator and denominator on the right by cc: [4] tau = (tvx/cc)/(1vv/cc). There's only one way to get [2] from [4]. Let tau<>tau, a logical absurdity in this situation; Einstein has proceeded far beyond tau the unknown function. The only unknown is a, which he later says is phi(v)=1. And if it is legal to get [2] by multiplying only one side by sqrt(1vv/cc), then it is also correct to multiply only one side by (1vv/cc), and get the galilean transform. Or to multiply one side by pi and get "t and vx/cc are really circle diameters" transforms. [You know, the circumference of a circle is Pi*diameter?] But in all cases  both the absurd Einsteinian and Pi transforms  it is not legal to treat only one side of an equation in a nonidentity fashion. The left side of the tau function would not be tau, but gamma*tau or Pi*tau. The appearance of gamma is just as magically marvelous in the X' transform (we used X' for the moving system x value coordinate, remember?): X' = ccx'/(ccvv). = (ccxccvt)/(ccvv) = (xvt)/(1vv/cc). Not X' = (xvt)/sqrt(1vv/cc). User Contributions:Comment about this article, ask questions, or add new information about this topic:Top Document: Einstein (1905) Absurdities Previous Document: 3. The light direction absurdity. Next Document: 5. The amazing transverse gamma 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
