On Friday, February 22, 2019 at 9:12:02 PM UTC-7, Bruce wrote:
>
> On Sat, Feb 23, 2019 at 3:08 PM <[email protected] <javascript:>> wrote:
>
>> On Friday, February 22, 2019 at 8:13:21 PM UTC-7, Brent wrote:
>>>
>>> On 2/22/2019 6:04 PM, [email protected] wrote:
>>>
>>> On Friday, February 22, 2019 at 4:55:41 PM UTC-7, Brent wrote: 
>>>>
>>>>
>>>>
>>>> On 2/22/2019 2:40 PM, [email protected] wrote:
>>>>
>>>> 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 *
>>>>
>>>>
>>>> Einstein thought he would develop a theory that satisfied Mach's 
>>>> principle, but as it turned out GR doesn't. For example the metric of 
>>>> spacetime is a dynamic field and transmit momentum and energy, as shown by 
>>>> LIGO.  Mach's idea of spacetime as purely a relation between material 
>>>> events couldn't do that.
>>>>
>>>> Brent
>>>>
>>>
>>> *Were you inferring covariance simply because the mediating particle for 
>>> gravity, the graviton, travels at the SoL? *
>>>
>>>
>>> GR is a covariant theory.  So it's quanta, gravitons, are covariant.
>>>
>>
>> *I could be mistaken, but I see gravitons as being part of a distinct 
>> theory of gravity, which might give the same results as GR. In GR, the 
>> paths are determined by geometry in the absence of forces, not by mediating 
>> particles. AG *
>>
>
> GR, as a theory, implies the existence of gravity waves. Wave, when 
> quantised, give particles: these are the gravitons of the theory. Exchange 
> of such gravitons does not necessarily have anything to do with the forces 
> in the theory, or the formation of geodesics.
>
> Bruce 
>

*Very clarifying. Then, since gravitational waves have been detected, it 
must be that gravitons exist, but too low in energy to be detected. AG *

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