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You keep talking around my question. If you can "do physics" from the
"accelerating frame" then you must identify gravitational SOURCES which are
synchronized to the engineer's actions. DO it!
(It can be made to work - it all depends on how "wierd" you are willing to
get!) Let's have your model.
This again sounds, to me, like an attempt to draw a distinction between
the gravitational field that appears on the surface of the earth and the
one that appears on the decelerating train that simply does not exist from
either viewpoint #1 or viewpoint #2.
If you ask me
(again) to identify the source of a gravitational field (time-dependent or
not), I'll express my opinion (again) that it is acceleration with respect
to an inertial frame. This, notwithstanding the fact that inertial frames
are, in turn, determined somehow (this is where GR comes in) by the matter
in the universe.