On Thu, Feb 13, 2014 at 8:39 PM, Edgar L. Owen <edgaro...@att.net> wrote:

> The accelerating elevator is in deep space. There are no tidal forces.
>

You can tell if spacetime is curved or not by observing if light moves in a
straight line or not. If you were in deep space and the elevator was
accelerating at 1g due to a attached rocket and you turned on a laser
pointer that was aimed parallel to the floor you would notice that the
light would not hit the spot directly across because by the time it took
the light beam to cross the elevator the elevator would be moving faster
upward than when the light beam started it's journey due to the
acceleration. Thus you would observe the light beam hit a spot slightly
below where it would have hit if the light moved in a straight line, so you
would conclude that spacetime inside the elevator was curved.

If the elevator was not in deep space but was just sitting on the surface
of the Earth you would make the exact same observation and make the same
conclusion about the curvature of spacetime. So you'd know spacetime was
curved but unless the elevator had a window you wouldn't know if it was
because it was in deep space being accelerated by a rocket at 1g or because
it was sitting still on the surface of the Earth in the planet's 1g gravity
field.

  John K Clark

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