On Sunday, February 24, 2019 at 5:31:35 PM UTC-6, agrays...@gmail.com wrote:
>
>
>
> On Sunday, February 24, 2019 at 6:41:00 AM UTC-7, Lawrence Crowell wrote:
>>
>> On Friday, February 22, 2019 at 4:40:31 PM UTC-6, agrays...@gmail.com 
>> wrote:
>>>
>>>
>>>
>>> On Friday, February 22, 2019 at 1:34:31 PM UTC-7, Brent wrote:
>>>>
>>>>
>>>>
>>>> On 2/21/2019 10:47 PM, agrays...@gmail.com wrote:
>>>>
>>>>
>>>>>
>>>> *Even if gravitons are detected, and they account for "force" 
>>>> consistent with the other three forces, wouldn't there remain the task of 
>>>> changing the form of gravity to make it covariant? AG*
>>>>
>>>>
>>>> Gravitons, as quanta of the metric field, are already relativistic 
>>>> particles and covariant.
>>>>
>>>
>>> *I thought it's the equations of motion for the particular force, not 
>>> the mediating particles, that must be covariant. On a related topic for 
>>> this thread, where does GR depart from Mach's principle? That is, what did 
>>> Einstein implicitly (or explicitly) deny about Mach's principle? TIA, AG *
>>>
>>>>
>>>> *Would that require tensors? AG*
>>>>
>>>>
>> General relativity is covariant, and curvature is expressed according to 
>> Riemann tensors. 
>>
>> LC
>>
>
> *Thanks, but I think you missed the thrust of my question; namely, if a 
> theory using gravitons is independent of GR, since it would have to be 
> covariant, could that be done without tenors, or are tensors nevertheless 
> necessary.  AG*
>

Tensors transform homogeneously with the Lorentz group and are thus 
covariant. Yep you need tensors. 

LC 

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