Dear Dr. Ellis,
Thank you for your response. I would like to mention that Physicists who are 'imbued with their mother's milk' into believing in Einstein's principle of relativity, are blinkered not to see the top down structure, between the motion of a particle relative to earth and earth's GRAVITATIONAL MOTION round the sun.
One of the great damages that happened to physics is due to Poincare's rejection of Galileo's principle of relativity, whose BASIS is that an object moving relative to earth shares also a MOTION IN COMMON with the earth.
Galileo: "Then let the beginning of our reflections be the consideration that whatever motions comes to be attributed to the earth must necessarily remain IMPERCEPTIBLE to us and as if non-existent, so long as we look only at terrestrial objects; for as inhabitants of the earth, WE CONSEQUENTLY PARTICIPATE IN THE SAME MOTION" (p. 114).
As an analogy he wrote: "The cause of all these correspondences of effects is the fact that the ship's motion is common to all the things contained in it" (p. 187).
Poincare culled off the common motion with the local reference frame from Galileo's principle of relativity, and MISCONSTRUED that all IFR are equivalent, and that laws of physics are the same in all IFR. And Einstein accepted it uncritically in the formulation of SRT.
The absence of COMMON MOTION in our frame of thinking is why we cannot conceive the top down effect of Earth's gravitational motion round the sun on a motion of a particle relative to earth.
What Galileo has stated is that the top down effect is imperceptible. The reason why they thought it to be imperceptible is because at the low level of velocities of objects that Galileo and Newton were dealing the effect is extremely minute, since the MATHEMATICS DETERMINING THIS EFFECT IS NON-LINEAR. It is at high velocities the non-linearity comes out of its relative dormancy and turns to manifest effects exponentially. So although both Galileo and Newton made mention of the COMMON MOTION, physics developed as if this is of no consequence because of the relative dormancy of the mathematics determining the top down effect.
But when experiments with very fast moving began at the turn of the 20th century, new phenomena arose, which seemed to contradict classical views. See Lorentz 1904 paper which led to the formulation of empirical equation which came to be known as the "Lorentz transformation". He begins the paper: "The problem of determining the (top down) influence exerted on electric and optical phenomena by a translation, .... IN VIRTUE OF EARTH'S ANNUAL MOTION ....".
Thus Lorentz came very close to giving the top down interpretation to the "Lorentz transformation". If a determined and a consistent effort was continued to get to basics in terms of dynamics, then the problem would have been solved. But unfortunately Einstein turned it into a kinematic postulate of SRT and the matter has got buried under this theory ever since.
There is one question I would like to ask you in regard to SRT's position on the LT's. SRT never discovered or predicted LT. It took hold of Lorentz' empirically developed equation and turned it into a postulate. And when subsequent experimental results confirm LT ("space co-ordinate"), the credit goes to SRT. But if SRT's interpretation about LT is correct, then along with the confirmation of the 'space co-ordinate', the 'time co-ordinate' too must be experimentally confirmed. The question I ask you is that has there been even a single experiment which has confirmed, that when x' = gamma(x -ut) the corresponding time is t' = gamma(1- ux/c2)gamma?
I have pursued the on the Top Down influence of Earth's gravitational motion on the relative motions of objects on earth. In my essay: http://fqxi.org/community/forum/topic/1549
I have followed Einstein's efforts (besides relativity) to develop what he called the 'Right Way' by extending the approach of thermodynamics to whole of physics. I have explained why Einstein could not succeed in spite of his convictions - This is because he left out the possibility of top down effect of earth's motion from his frame of thinking.
Once the top down effect is properly taken into account (as I show in my essay), the general equation of motion of a particle derived from first principles becomes:
x' = gamma[vt(1 -u/c)] and t = t,
I have shown that a) when v tends to c, the equation turns to LT and b) when v is very much less than c, x = vt.
Hence this general equation holds for all velocities (very low to near light velocities). By this the schism in physics as regards Newtonian physics is valid only for low velocities and SRT is valid only for near light velocities disappears.
I am attaching the MS Doc version of my essay because the diagrams pdf version in this website have not come out properly. I request you to comment on my essay.
Best regards,
VirajAttachment #1: 8_A_TREATISE_ON_FOUNDATIONAL_PROBLEMS_OF_PHYSICS2.doc