Dear Roger,
You have posed 3 questions to me. Pending providing detailed answers to all in a later post, I will take up the 3rd question for now.
You asked:
"If so (i.e. if Lorentz transformation is wrong), how do you explain all the experiments that have confirmed relativity?"
I suppose what you mean is: "how do you explain all the experiments that have confirmed Lorentz transformation?".
Lorentz transformation in the sense Einstein means it, is not only about the displacement x', it must also hold equally true for time t'.
I would like to ask whether you know of any experiment that has confirmed LT equation for time t' = t(1 - ux/c2).gamma?
In accelerator experiments, if the observer measures the displacement as x' = gamma (x -ut) relative to the lab frame (using its 'meter stick'), and considers this confirms LT (displacement), then corresponding to that, the time measured relative to the lab frame clock should be t' = t(1 - ux/c2).gamma. Is this the case?
You cannot say that when x' is measured relative to the lab frame, t' is a measurement that would be true relative to a frame co-moving with the particle. Both x' and t' must be measurements made with respect to the meter stick and the clock of same frame.
The Achilles heel of SRT is what is believed to be its forte - the LT's.
SRT claims laws of physics are the same in all IFR and then in the same breath wants us to believe that a particle will move according to classical laws at slow velocities and will conform to Lorentz transformations at near light velocities in a given frame.
Should not laws of physics be the same for all velocities (in a given frame)? That is, should it not be the case that there has to be one equation covering all velocities?
Actually it is very easy to develop such an equation logically which holds for all velocities. The logic is this: If the displacement x' = gamma(x -ut) when velocity of the particle v tends to c, i.e. v/c tends to 1, then the general equation for displacement will be given for all velocities v by
x" = gamma.v/c(x -ut)
The implication of this equation is that as ratio v/c becomes smaller and smaller than 1, the results will be deficient from the predictions of SRT by the term
a = x'(1 - v/c)
The tasks then is
(1) to derive this equation for x" from dynamical principles
(2) Have the general equation verified against results of experiments for particles moving at various velocities performed in the last 100 years by computer analysis. This will be the 'experimentum crucis' that will decide on the fate of SRT.
See: A Treatise on Foundational Problems of Physics , I have derived this equation from first principles on a dynamic basis.
BTW I pointed out in my previous post to you that you are confusing between Lorentz contraction and Lorentz transformation. I notice that you made no comments about that. When no attention is paid for conceptual clarity, it is quite possible nature may appear not to have any faithful representations.
Best regards,
Viraj
