Dear Sergey,
You wrote: "I think the change of frequency of GPS clocks with altitude is not directly connected with the change of mass of the clocks. In SRT mass and charge are constant since in SRT there is not of acceleration of reference frames".
(1) Contrary to your claim that mass remains constant, is it not the case that SRT's contention is that a mass of a particle INCREASES when in motion? When the energy increases from Mc2 to gamma.Mc2 does not the mass increase from M to gamma.M in SRT?
(2) If mass of a particle does not increase when in motion, how can you explain that in order to set a particle of mass M in motion it requires momentum p = gamma.Mv?
(Note: I have given a different explanation consistent with an energy decrease by factor gamma).
(3) If the energy of a particle increases, is it not counter-intuitive to claim that this results in a slow down of internal processes? Isn't this a contradictory situation?
(4) It is because of this contradictory situation that SRT cannot explain the mechanism of how the internal processes slow down. It only merely "plugs in" data to the time dilation 'factor' to solve problems.
Here is an example: "A very interesting example of the slowing down of time with motion is furnished by mu-mesons ..... THE FACTOR BY WHICH THE TIME IS INCREASED HAS ALREADY BEEN GIVEN AS 1/(1-u2/c2) ..... We do not know why the meson disintegrates or what the machinery is, but we know its behavior satisfies the principle of relativity. THAT IS THE UTILITY OF THE PRINCIPLE OF RELATIVITY - IT PERMITS US TO MAKE PREDICTIONS, EVEN ABOUT THINGS THAT OTHERWISE WE DO NOT KNOW ABOUT. - Feynman Lectures on Physics , Vol I Ch 15 - 7).
(5) The fact is that I have obtained extremely accurate results for GPS clock time differences a) due to altitude change (energy increase) and b) due to motion (energy decrease).
What you do not seem to understand is that I derive the "time dilation" equation by a GEOMETRICAL THEOREM, in terms of decrease of energy of a particle when in motion. . This formula is the same as SRT's. When I work out this same formula on the basis of energy changes and get very accurate results, I am PROVING THAT MY CORRELATION BETWEEN ENERGY CHANGES AND GEOMETRY IS RIGHT. And in turn it proves that for geometry to be right, that the energy decreases with motion has to be right.
Best regards,
Viraj