On Wednesday, February 27, 2019 at 8:10:16 PM UTC-7, Brent wrote:
>
>
>
> On 2/27/2019 4:58 PM, [email protected] <javascript:> wrote:
>
> *Are you assuming uniqueness to tensors; that only tensors can produce 
> covariance in 4-space? Is that established or a mathematical speculation? 
> TIA, AG *
>
>
> That's looking at it the wrong way around.  Anything that transforms as an 
> object in space, must be representable by tensors. The informal definition 
> of a tensor is something that transforms like an object, i.e. in three 
> space it's something that has a location and an orientation and three 
> extensions.  Something that doesn't transform as a tensor under coordinate 
> system changes is something that depends on the arbitrary choice of 
> coordinate system and so cannot be a fundamental physical object.
>
> Brent
>

1) Is it correct to say that tensors in E's field equations can be 
represented as 4x4 matrices which have different representations depending 
on the coordinate system being used, but represent the same object? 
2) In SR we use the LT to transform from one* non-accelerating* frame to 
another. In GR, what is the transformation for going from one *accelerating* 
frame to another? 
AG

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