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It has been a while, but from what I recall this equivalency certainly wasn't true at the level of rigour of mathematical physics instead of at the level of rigour of theoretical physics, where it is of course generally accepted as being true.bhobba said:Feynman shows it is exactly the same as GR. However I just know what I read in the book, others may know more details. A book that follows a similar approach classically is Ohanian - Gravitation:
https://www.amazon.com/dp/1107012945/?tag=pfamazon01-20
Its different - but equivalent - to the usual and perhaps more elegant geometric approach as is shown in the book.
Thanks
Bill
Myself, I'd wager on the geometric interpretation being more correct with the field theoretic interpretation being merely an approximation: this wager is based purely on mathematical intuition, biased by more sophisticated geometric and (complex-)analytic aesthetics.