Erock
Muse
Yes! That's the same answer I got from the scientist. The problem is that this will give a relative velocity between the photons of 1c. This doesn't match reality since if we measure the actual distance traveled and the time it takes, as according to the observer's clock and measuring of lengths, then we will get a result of 2c.
You are over complicating it by using the observers reality to determine the photons relative velocity to each other.
The photon relative to the other photon is moving at 1c. The observer sees 2 c. The net result at any given time is 2c but from the observer. Always from the photon it is 1c. Time dilation comes into play.
This explains it quite well:
http://www.btinternet.com/~j.doyle/SR/sr2.htm
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