Top Document: Einstein (1905) Absurdities Previous Document: 5. The amazing transverse gamma absurdity. Next Document: 7. Simultaneity and Measurement Prologue. See reader questions & answers on this topic!  Help others by sharing your knowledge Einstein uses his distance to the mirror x' with which to derive the differential equation and tau function from which he derives the t' and x' transforms of Special Rela tivity. The greater that distance, the more time it takes for the light to travel either direction, and roundtrip. But Einstein concludes that the slope of tau wrt the dist ance to the mirror is the inverse of the slope wrt the time it takes. Einstein's x' is the distance to the mirror, which also defines the distance back to the source at the moving origin. This distance shows up in the time expressions in his un known tau functions, and when differentiated wrt x' gives a value of 1.00, proving that the x' of the @tau/@x' term is indeed the distance to the mirror and not the other x' in his model (yes, there are two; the other is the location of the light and/or the clock in use at the time). The greater the distance, the greater time it takes for light to cover the total and partwise distances. But Einstein's differential equation and his resultant tau equation say that although tau increases when the distance increases, tau decreases when time increases, and vice versa. His differential equation is: (@tau/@x') + (v/(ccvv))(@tau/@t) = 0. We put the two terms on opposite sides: (@tau/@x') =  (v/(ccvv))(@tau/@t). Thus, either v must always be negative or the slope of tau with respect to x' is the negative of the slope of tau with respect to t. Yet, his model  for that very x'  is that x' and v together fully define t, and that the time  with a constant v, which is how Einstein treated v  increases as x' increases. This aburdity is repeated in his immediately consequent tau function: tau = a(tvx'/(ccvv)). There can be no doubt that the x' in the differential equation and the resultant tau function are the x' that is the distance to the mirror. When he different iates the time expressions in his unknown taus wrt x', the slope of that distance x' is 1 wrt to the differen tiating x'. QED, by reduction to the absurd, his derivation of the SR transformations is nonsense. It is based on a model in which tau increases with a greater x' and/or a greater t  t being an increasing function of an increasing x'  but Einstein's conclusion is that tau increases with one when it decreases with the other. Objection: But, you say, you said there were two x' usages. Surely the tau at the time the light returns to the moving origin, at location L=0, is later than the tau when light reaches the mirror at L=x'. That's a negative relationship. OK. That is saying tau is an obvious inverse function of the location coordinate. But the tau at emission is surely less than at either of the other occasions, and its L is zero also, making it a direct function of the location coordinate, by the same argument. User Contributions:Comment about this article, ask questions, or add new information about this topic:Top Document: Einstein (1905) Absurdities Previous Document: 5. The amazing transverse gamma absurdity. Next Document: 7. Simultaneity and Measurement Prologue. 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
