Congrats! Illustrates how 3-4 wrongs (unknowns?) make a right.(explained).
Event horizon - nice. Even if you "couple it".
Gravity: a toughy one. I have an explanation so good that nobody repeats
it. An 'unexpected way' is unexpected.  JM


On Thu, Feb 13, 2014 at 3:41 PM, LizR <[email protected]> wrote:

> 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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