Dear Dr. Ellis,
1. First of all I must let you know that I am not a 'special relativity' denier, in the sense that I reject the a) principle of constancy of velocity of light, b) the validity of the displacement equation of Lorentz transformation, c) the slowing down of internal processes of a particle when in motion, d) transverse Doppler effect (TDE)of light, d) matter particles cannot move at the velocity c, etc.
I am glad to say that I not only accept these empirical facts which you call as the "tightly integrated package", but I have also derived these by extending principles of TD into whole of physics as Einstein intended.
. "By and by I despaired of the possibility of discovering the true laws by means of constructive efforts based on known facts. The longer and the more despairingly I tried, the more I came to the conviction that only the discovery of a universal formal principle could lead to assured results. The example I saw before me was thermodynamics. The general principle was there given in the theorem: laws of nature are such that it is impossible to construct a perpetuum mobile" (Einstein's Autobiography, p.53).
By extending the principles of TD (as Einstein intended), I have proved a) how the velocity of light remains constant in a given medium. b) Shown how the TDE occurs c) With TDE, I have shown how null result of the MMX comes to be. d) shown extremely accurately how an atomic clock in a GPS orbit loses 7.213 ns/day. e) Using the same algorithm which is used to calculate the above time delay, proved why a matter particle cannot move at velocity c.
So if you like, I have provided a "tightly integrated dynamic foundation" to the "tightly integrated package" which has so far been collection of ad hoc kinematic assertions. Thus fulfilling Einstein's dream of having a theory of principles in place of the makeshift constructive theory he created provisionally.
I am not a relativity denier in the sense of rejecting the 'package'. I don't throw the baby with the bath water. But you must admit that the LT time equation falls into the category of 'bath water'. It is not an item in the 'tightly integrated package'.
2. You wrote: "yes I agree that that specific equation per se has not been verified but time dilation has, which is its core element".
No it is more than that. In the millions of experiments you mention, which have proved the LT space equation right, these have at the same time proved the LT time equation to be false.
If the 'specific equation' has not been 'verified', and there is the other equation which is the core element, does it not mean that the whole contention around the 'specific equation' is false?
I am glad that you have the honesty and courage to effectively admit that no experiment has proved the fundamental contention of SRT, which is: :.. "The insight which is fundamental for special theory of relativity is this: The assumptions 1)[constancy of the velocity of light] and 2) [principle of relativity] are compatible if relations of a new type ('Lorentz transformation') are postulated for the conversion of co-ordinates and the TIME."(1, p. 55).
You wrote: "I don't have to have a test of that one specific equation in order to test the theory as a whole".
But according to Einstein this equation is a FUNDAMENTAL premise for SRT. It is this time equation that transcends the contradiction between his other two postulates as you can see from the above quote from Einstein. So does not the theory fall apart on this account?
But the 'integrated package' remains with the "Right Way" - the TD interpretation!!
3. You wrote: "I call it putting my attention to items that are likely to lead to progress".
It is for progress towards what Einstein indicated as the "Right Way" I am drawing your attention to. Einstein wrote: "If, then, it is true that the axiomatic basis of theoretical physics cannot be extracted from experience but must be freely invented (fictitiously), can we ever hope to find the right way? Nay more has the right way any existence outside our illusions? ......". We need to note that in answering the above question , Einstein firmly asserted that the right way will be based on simplest of mathematical ideas: " ..without a hesitation that there is, in my opinion a right way, and that we are capable of finding it (in the future) ...Our experience hitherto justifies us in believing that nature is a realization of the simplest conceivable mathematical ideas. (thus quite in contrast to the abstruse mathematical formalisms of SRT and GRT), I am convinced that we can (i.e. WILL be able to) discover by means of purely mathematical constructions, the concepts and laws connecting them with phenomena" (Philosopher-Scientist, p. 398).
Best regards,
Viraj