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

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