Acceleration does cause the formation of an event horizon, I believe, which
might be considered to couple it with gravity (in an unexpected way).


On 14 February 2014 09:33, Jesse Mazer <[email protected]> wrote:

>
> On Thu, Feb 13, 2014 at 2:32 PM, Edgar L. Owen <[email protected]> wrote:
>
>> Jesse,
>>
>> Let me think about this, but it is NOT the observer in "free fall in a
>> gravitational field" that is equivalent to acceleration. It is an observer
>> RESISTING free fall (e.g. standing on the surface of the earth) that is
>> equivalent to acceleration.
>>
>
> Suppose the observer who's not moving on a geodesic path (call her Alice)
> passes through the small spacetime neighborhood where the observer who IS
> moving on a geodesic path (call him Bob) is defining his  "local inertial
> frame" (Bob's geodesic path can either by a free-fall path through curved
> spacetime, or inertial motion in flat spacetime, since both qualify as
> geodesics in their respective spacetimes). As Alice passes through this
> region, she performs some experiment and notes the physical result.
> Whatever physical elements are involved in this experiment, Bob can analyze
> them too, and he should predict the SAME result even if his analysis is a
> bit different--for example, if Alice is standing on a platform and lets go
> of a ball, the ball will hit the platform, from Alice's point of view this
> is due to a gravitational force and from Bob's point of view this is due to
> the platform accelerating up towards the ball, but either way the actual
> prediction is the same. So, to say that Bob should observe the same results
> of any local experiment (provided he is approximating everything to first
> order) regardless of whether he's moving inertially in flat spacetime or
> free-falling in gravity is physically equivalent to saying Alice should
> observe the same results of any local experiment (again ignoring
> second-order and higher effects) regardless of whether she's accelerating
> through Bob's region in flat spacetime, or passing through his region
> because he's in free-fall while she is not (say, she's standing on a
> platform resting on a pole embedded in the Earth below, while Bob falls
> past her).
>
> Jesse
>
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