@layman,
Quote:For example: The frame of reference which says the earth is motionless and that the sun orbits it is NOT, FOR PURPOSES OF AN ACCURATE PHYSICAL DESCRIPTION OF THE WORLD
"just as valid" as a frame of reference that says the earth orbits the sun.
As an oversimplification, the claim of SR is that every inertial frame is equally valid. There is also General Relativity (which was Einsteins extension of SR) that says that every non-inertial frame is equally valid. But we haven't even gotten to where you accept SR yet, I don't know if we should go there.
You are using the phrase "ACCURATE PHYSICAL DESCRIPTION". I don't know why this is all in caps, nor do I know how you would define it.
The fact is that Physics can make accurate predictions in any inertial frame of reference.. including the one that at this instant says that the earth is motionless. Of course in SR the earth is not an inertial frame for more than an instant (since it has a non-zero acceleration that will be non-zero when measured by experiment in any inertial frame of reference).
By the way, you are right about one thing... I did make a misstatement (just one as far as I can see in all of these pages). The scientifically correct position is that if two theories are indistinguishable by any possible experiment (that is they make the exact same predictions in any circumstance), then they are equivalent.
Of course if there are two theories, and we can think of a test to distinguish between the two (meaning that we can run experiments where they make different predictions and then measure the results to see which one matches the experimental results), then they are not the same.... and at most one is correct. There are theories where experiments have been designed that we don't have the technology to run yet.