Dear Gurbachan,
I have read your excellent paper and I am in general agreement with your views. There are some areas that I see differently. The point that is most important in your argument, as I see it is your disagreement with the first postulate - 'Special' Principle of Relativity'. In addition to the relevant dynamical point you raise about the angular momentum and kinetic energy with respect to the barycentric frame, there is also another point that I would like to make because this is the key to the dynamic explanation of the so-called Lorentz transformation. (This you will understand from the last section of my paper).
http://fqxi.org/community/forum/topic/1549
While your arguments about angular momentum and kinetic energy are valid, they trivialize this argument by insisting that a) energy is relative and b) laws of physics (meaning Newton's second law holds) in all inertial frames. Their argument is based on the position that the differential coefficient of the velocity of a particle will remain invariant, with respect to any IFR.
Einstein has taken the dynamic content out of Galileo's principle of relativity and made a fake imitation of it. And this is why a dynamic explanation for the Lorentz transformation can not be offered by SRT.
I would like you to consider the following.
In his book "Dialogue Between The Two Chief World Systems" in the chapter on Second Day (157 pages in all) he takes example after example and showed that the reason why the effects of motion of a place (i.e. observer's location) in uniform motion cannot seen by the observer is because the observer and the observed objects (in motion relative to the observer) shared a COMMON MOTION with that place.
Galileo started off his discussion on the principle of relativity in the following way: "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).
"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).
In Galileo's relativity, (as opposed Poincare's version), it is the relative motion between the objects, that remain unaffected by motion of the place (Local reference frame), and not the discrete motion per se of a given object.
Newton brings this out clearly in his statement of the principle of relativity: Newton wrote the principle of relativity (in Principia, Corollary V) as follows: "The motions of bodies included in a GIVEN SPACE are the same AMONG THEMSELVES, whether that space is at rest or moves uniformly forwards in a right line without any circular motion" (p. 20).
"Motion of bodies ....among themselves" means motions RELATIVE to one another, and not the motion of each body relative to the given space. (According the Galileo's principle Relative motions between bodies remain invariant, but not discrete motions of individual bodies).
Poincare started to twist Galileo's tail from 1900 to insist that a) there is no common motion with the local frame b) Motion of each body remained unaffected by the motion of the local frame. (This is the basis of equivalence of all reference frames). In 1904 St. Louis Speech he announced his Principle of Relativity. (According to Poincare's principle, discrete motion of each body remains invariant. "Motion of A BODY is independent of the motion of the system")
Einstein dropped Galileo-Newton principle of relativity and grabbed hold of Poincare's principle. The rest is history of confusion for 100 years.
I think the dynamic explanation of LT by the restoration of Galileo's principle will be important to prove the fallacy of the notion of equivalence of all IFR.
I would like to hear your comments.
Best regards,
Viraj