Eckard,
I just revisited this thread. I can see we really did a lot of dialectic in January and thrashed a number of important points. I also read your essay. It was nice and I posted only brief comments because I had nothing to criticize.
I want to post here the last part in a series of my exchanges with a German physics professor and relativity expert (name withheld), and our final agreement today.
Akinbo: Thanks for your message. I think I am now satisfied with most of the answers given. ... Your replies should I think also resolve most of the issues. That is, if I get you correctly, the combined meaning of your statements is that the result of light speed measurement really depends on who is carrying out the measurement, i.e. where the observer is located relative to the gravitational field. In other words:
A professor with a light source, receiver, time and distance measuring instruments inside his laboratory on Earth, will locally measure in the vacuum a speed of light, c that will be different from the speed of light the same professor will measure, if he takes his laboratory near to the vacuum of a very strong gravitational field, with bigger M or smaller r. And if the professor, takes the same laboratory very far away from gravity ('origin of coordinates' as Einstein calls it in the paper referenced), with r very high and so -GM/r becomes infinitely small, the value of c measured in the vacuum in that location, will approximate to co, according to Einstein's formula, (Eq.3), c = co (1 - GM/rc2). Thus as you said, and this agrees also with Einstein, when he says, "If we call the velocity of light at the origin of co-ordinates co, then the velocity of light c at a location with the gravitation potential, ф will be given by the relation". This scenario applies to that in which a professor and his laboratory move from place to place, with differing gravitational potential. Thanks for clearing this up.
Now, this is where some experts in relativity add to the confusion plaguing physics because they may not agree with this interpretation, preferring to say that in ALL circumstances and at ALL locations, the value of light speed the professor will measure is the same and it is independent of 'where' the measurement is taken place, any other statements to these experts is like blasphemy. If you don't believe, you can interview some and you will confirm this. I, and I am sure many other non-experts interested in physics therefore hope you experts come up with a single position on this scenario. It is important.
The other scenario is one is that in which a laser beam is fired into outer space from the Earth to a mirror at a known distance in metres. In one of your earlier replies you said, 'the gravitational potential changes in a continuously differentiable manner'. The laser beam I presume will likewise therefore travel also at light speeds changing in a continuously differentiable manner, i.e. increasing according to differential in gravitational potential on the outward journey (accelerating), and reducing according to gravitational potential on the inward journey back to Earth (decelerating). This appears to resolve observed anomalies when the light journey to and fro to spacecraft like Pioneer 10 and 11 is calculated using the fixed light speed value obtained in the Earth-based laboratory's gravitational potential. Again, an area for experts to clear up, but they refuse to look in this direction...
Many thanks for your time and the surprising interest to correspond.
Best regards,
Akinbo
His response today, makes me happy.
Prof: Dear Akinbo,
I fully agree with your summary - including the point about the perceived
blasphemy. I'm happy we converged to this point!
Best wishes,
Prof...
*By the way, I learnt from an expert that if you take Nigerians to Germany, and Germans to Nigeria, Germans will start to behave like Nigerians and Nigerians will start behaving like Germans :).