Tom, I just do not have the time to teach you elementary physics since I have more important issues to attend to. Read my manuscript and tell me where you differ from me.tomclarke wrote: Johan, it comes down to whether you think the "travelling twin" (or, if you like, GPS satellite) clock measures a shorted elapsed time than the earth-centered one as determined by synchronisation at two different times.
The fact is that Galileo stated that the physics within all inertial reference frames must be the same same, Newton affirmed this in his first law, and Einstein expandeded this to include electromagnetism. Thus it is not possible for any clock within ANY inertial refrence frame to keep time at a different rate than any other clock within any other inertial reference frame. Thus, a radio-active material moving at a speed near the speed of light relative to another piece of the SAME radio-active material, will decay at the SAME rate. It is only when you transform what happens within an inertial reference frame into another inertial reference frame that the transformed simultaneous events within an inertial reference frame occur at different times and positions within the refrence frame into which they are being transformed: The actual time is the same on all moving clocks since they are ALL stationary within their own inertial reference frames.
Within any inertial refrence frame the time at every coordinate position is exactly the same. Only when you look in from outside do simultaneous events in one reference frame occur at different times within your reference frame. This does NOT mean that the time on the clocks within your or any other inertial reference frame show different times at different positions. Neither does it mean that the time at different positions within a passing reference frame is different at different positions within that inertial reference frame.
If all the natural clocks have been synchronised at the Bg Bang as they must have been, then they all are keeping the same time within their respective inertial refrence frames. Time is absolute in this sense. Only gravity affects the rate at which a clock keeps time, and this effect is not caused by the equivalence principle of Einstein, but by the fact that both light and matter consist of wave-energy: i.e. electromagnetic energy.
So I am not interested in your diagrams since I know all these diagrams better than a lightweight like you does. I also now know that they have been wrongly interpreted for over 100 years. So this is now definitely my last post for at least four weeks. Cheers!