Hi brucep. I have bolded the words which illustrate precisely the source of the problem; ie: falsely attributing 'effective equivalence' to 'constant' and 'invariant' in this area.
What seems to keep escaping the notice of certain learned members is that there is a subtle but important difference between the two:
- The 'c' as an 'invariant across frames' is actually a propotionate value calculated using a relative "t" value (relative "t" confirmed by Aqueous Id earlier). Ie, the speed of light must vary in order for the proportionate calculation to always produce the 'same' dependent resultant 'value' of 'c' (so the speed of light must not be the same 'absolute magnitude' across frames, else the resultant would vary commensurate with the "relative t" factor used for calculating/measuring that speed);
whereas
- The 'c' as a 'constant per se' is actually an assumed value for light speed according to SR postulates/hypothesis, not an apriori factual value in each frame. It is not until one calculates the speed of light for each frame, using the "relative t", that one can say anything about the "measured c value' as opposed to the 'assumed c value'.
When taken as calculated across frames, the fact that relative t is used to make all calculations purporting to "measure light speed in a frame", it is clear that light speed 'c' symbol stands for the invariant proportionate calculated value, and not some 'postulated/hypothesized constant absolute magnitude value.
If once you and certain others can get past the mistaken impression that there is a conceptual and/or effectual "equivalence" between the terms 'constant' and 'invariance' in this context, then it will become clear that all assumptions about speed of light must be dropped in preference for the fact that a "relative t" logically and mathematically implies that speed of light must be an variable in order to give 'invariance' across frames. The only case where one can say with empirically supported certainty that 'c' is 'constant at all times', is in a particular frame where 'all times' are based on the same proper "t" which does not vary within that frame (but does vary across frames).
Less insults and prejudice, and more attention to subtle but important differences in contextual meanings, would help to minimize the antagonistic tones brought to discussion because of 'personal past baggage' etc.
Good luck with your continuing discussions here and elsewhere, brucep, q_w, Farsight, Aqueous Id, Tach, Motor Daddy, CptBork, Grumpy and everyone! Enjoy life and discourse without rancour. It's the best hope for humanity and science into the future! Bye for now.