On Saturday, April 20, 2019 at 4:14:27 PM UTC-5, [email protected] wrote:
>
>
>
> On Friday, April 19, 2019 at 2:53:00 AM UTC-6, Bruno Marchal wrote:
>>
>>
>> On 19 Apr 2019, at 04:08, [email protected] wrote:
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>>
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>> On Thursday, April 18, 2019 at 6:53:33 PM UTC-6, Brent wrote:
>>>
>>> Sorry, I don't remember what, if anything, I intended to text.
>>>
>>> I'm not expert on how Einstein arrived at his famous field equations.  I 
>>> know that he insisted on them being tensor equations so that they would 
>>> have the same form in all coordinate systems.  That may sound like a 
>>> mathematical technicality, but it is really to ensure that the things in 
>>> the equation, the tensors, could have a physical interpretation.  He also 
>>> limited himself to second order differentials, probably as a matter of 
>>> simplicity.  And he excluded torsion, but I don't know why.  And of course 
>>> he knew it had to reproduce Newtonian gravity in the weak/slow limit.
>>>
>>> Brent
>>>
>>
>> Here's a link which might help;
>>
>>  https://arxiv.org/pdf/1608.05752.pdf
>>
>>
>>
>> Yes. That is helpful.
>>
>> The following (long!) video can also help (well, it did help me)
>>
>> https://www.youtube.com/watch?v=foRPKAKZWx8
>>
>>
>> Bruno
>>
>
> *I've been viewing this video. I don't see how he established that the 
> metric tensor is a correction for curved spacetime. AG *
>
>>
>>


The physicists' vocabulary can be baffling (at least it is to me).

I think the basic thing though is that the Einstein Field Equations (EFE) 
is not - in a sense - absolute. EFE is relative.

Once one has established a coordinate system/metric (c-sys1) for "the 
world" independently, then EFE(c-sys1) provides a recipe for making 
predictions within c-sys1. Change c-sys1 to c-sys2, and EFE(c-sys2) 
calculates predictions in c-sys2.

There is no absolute c-sys for "the world".

- pt

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