 Quote by Alain2.7183
As far as I can recall, in both the TV show and in his book, Brian didn't seem to be presenting his method as "just one of several different possible answers" to the question of "What is the current age of the inertial person, according to the accelerating person?". My impression was that he seemed to present it as THE answer.
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This is Brian Greene in a pop-sci setting. Further, you are probably reading more into than Greene intended - I doubt he explicitly said this is the one valid way to look at things. A generic issue with pop-sci is that you select one simple, WOW point of view to describe about a more complex, multi-faceted situation. Also, if you want to argue by reference to authority, I could respond my noting that never in Einstein's life did he use such lines of simultaneity in either SR or GR.