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Albrecht said:Yes, here you say it yourself. The local observer observes always the same value for c because the clock and the rulers change. So, it is clear that this is a seeming result. As you state, not c is constant but the measurement result is.
It is an experimental fact that's easily verified nowdays that the rate at which a clock ticks depends on its altitude - it's position in the Earth's gravitational field (for Earthbound clocks). A more general principle is that the rate at which a clock ticks depends (for weak fields) on its gravitational potential energy.
Therfore any theory that does _not_ have clocks that tick at differing rates depending on the altitude of the clock is flawed, because it does not match observations.
You are apparently ignoring the actual data we have which is quite good on how real clocks act, and making up imaginary clocks that exist only in your imagination with different properties which you think that clocks "should" have, rather than working with the observed properties that clocks we can build _do_ have.
You are then trying to understand the world in terms of these imaginary clocks.
Unfortunately at this point you have become almost totally disconneted from the reality that we can measure and experience. The point of a theory is to make testable predictions. Relativity does this very well, and it has in fact predicted (and confirmed by experiment) the Shapiro effect.
To use relativity to predict the behavior of physical objects, it is necessary to understand the theory - or to rely on othe people who do, I suppose. This means understanding the definitions that relativity uses.
This is a general point in relativity: Does the time change (as stated by Einstein) or do the clocks change? Does the space contract (as stated by Einstein) or do only the rulers contract? Is there any way to distinguish between both alternatives?
The simplest approach by far is to assume that time is what we measure with a clock.
There is no way to decide this by an experiment.
That's a sure sign of a philosophical question. A seemingly important question which actually turns out to have no physical consequences whatsoever is a philosophical question.
If the question can eventually be shown to make some sort of testable difference, then the question becomes scientific.
When you think about the fact that we cannot decide philosphical questions because they basically make no difference whatsoever to anythign we can our could experience, their relative unimportance becomes clear.
Science is different. It is concerned with predictions that actually can be tested - which implies that they could be falsified by experiment. Theories that we can't falsify, in spite of our best efforts, are the successful ones.