On Friday, February 22, 2019 at 11:28:50 PM UTC-6, [email protected] 
wrote:
>
>
>
> 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]> 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 *
>


That is news for sure!

- pt 

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