On Wednesday, March 20, 2019 at 7:03:48 AM UTC-6, John Clark wrote:
>
> On Tue, Mar 19, 2019 at 7:54 PM <[email protected] <javascript:>> wrote:
>
> >> Einstein's breakthrough, what he called "the happiest thought of my 
>>> life" was when he realized a man in a falling elevator will not feel 
>>> gravity but a man in a accelerating elevator will. In other words an 
>>> accelerating frame and gravity are the same thing, that's why it's called 
>>> the Equivalence Principle.
>>>
>>
>> > 
>> *I think your claim, in response to my question, is that if you have a 
>> theory of gravity, then via the EP you also have a general theory of how to 
>> transform from one accelerating frame to another which obeys the Principle 
>> of Relativity. I tend not to believe this since gravity is only locally 
>> equivalent to acceleration. AG *
>>
>
> Einstein was certainly aware  that the EP was only true for regions that 
> were very small compared to the curvature of the gravitational field, in 
> fact working out the consequences of tidal effects was one of the reasons 
> it took him nearly a full decade of grueling work to go from "the happiest 
> thought of my life" to a fully developed theory of General Relativity. 
> Einstein had to master how 4D Tensors work in Non-Euclidean space and was 
> so obsessed and worked so hard it nearly killed him. When he finished he 
> lost nearly 50 pounds felt weak and expected to die soon, but fortunately 
> didn't. 
>
> John K Clark
>

But getting back to my original question a few messages ago; if there is no 
general transformation from one accelerating frame to another (except 
locally), how does GR establish the Principle of Relativity (for 
accelerating frames)? AG 

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