On Tuesday, March 26, 2019 at 7:58:11 PM UTC-6, Brent wrote:
>
>
>
> On 3/26/2019 12:29 PM, [email protected] <javascript:> wrote:
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>
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> On Tuesday, March 26, 2019 at 11:29:08 AM UTC-6, John Clark wrote: 
>>
>> On Tue, Mar 26, 2019 at 1:14 PM <[email protected]> wrote:
>>
>> *> How do the mathematicians prove it?*
>>
>>
>> Mathematicians can't prove that a physical theory is correct, all they 
>> can do is show that changing the coordinate system (for example by rotating 
>> the X and Y axis) does not result in different physical predictions. Only 
>> exparament can tell you if the predictions is right, or at least mostly 
>> right.  
>>
>> John K Clark
>>
>
> I'm not asking if GR is correct; rather, whether it is covariant. 
> Moreover, for SR we can prove covariance, since under the LT, the law of 
> physics don't change and the SoL is c in any inertial frame. ME are also 
> invariant under the LT.  AG
>
>
> Look at the paper by Gupta and Padmanabhan that I linked to.  
>


*I looked through your posts here and do not find these papers. Please post 
the links. I want to spend more time reading relevant articles, than asking 
questions. AG*
 

> The equations are written a manifestly covariant form, so no "proof" is 
> relevant.  
>

*That's what I need to grasp; what is a covariant form and why it's 
sufficient to establish covariance, or frame independence of the laws of 
physics. AG *

But the equations are local, partial differential equations.  So when you 
> want to calculate something that involves radiation (and accelerating a 
> mass produced gravitational radiation), even though the local equations are 
> covariant the solution depends on an integral equation over the past motion 
> of the body.  Since that motion can be, ex hypothesi, arbitrary, there's no 
> general transformation between two reference systems that have gone through 
> arbitrary motions in the past.
>
> Brent 
>

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