On Thursday, March 8, 2018 at 4:35:35 PM UTC-5, Brent wrote:
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>
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> On 3/8/2018 9:48 AM, agrays...@gmail.com <javascript:> wrote:
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>
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> On Thursday, March 8, 2018 at 12:36:07 PM UTC-5, Brent wrote: 
>>
>>
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>> On 3/8/2018 4:24 AM, agrays...@gmail.com wrote:
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>>
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>> On Wednesday, March 7, 2018 at 11:04:09 PM UTC-5, Brent wrote: 
>>>
>>>
>>>
>>> On 3/7/2018 5:39 AM, agrays...@gmail.com wrote:
>>>
>>> *Thanks for your time and effort, but I don't think you understand my*
>>> *question. Suppose a test particle is restrained spatially, say in *
>>> *the Sun's gravitational field. When released, it starts to move 
>>> (toward *
>>> *the Sun). How does GR explain this motion? By the advance of time? AG*
>>>
>>>
>>> Time was advancing all along.  Your restraint was a force causing the 
>>> particle to follow a non-geodesic path through space-time.  When you 
>>> released it, it then followed the "straightest path possible", i.e. a 
>>> geodesic.
>>>
>>> Brent
>>>
>>
>> So time is the "culprit". What has this resumption of spatial motion 
>> (along a geodesic in spacetime) have to do with conservation of momentum, 
>> if at all ? TIA, AG
>>
>>
>> It's not a "resumption" of motion; it's just tilting the direction of 
>> motion from being along your coordinate time line (which you think of as 
>> 'not moving') to being along the geodesic (which you think of as 
>> 'falling').  The 4-momentum of the system, including whatever device you 
>> were using to keep the particle from falling is conserved.
>>
>> Didn't you say you had read Epstein?
>>
>> Brent
>>
>
> I said I was reading Epstein. I have it with me while traveling. If 4 
> momentum is conserved, isn't that the same as saying motion on a geodesic 
> is postulated? 
>
>
> No. Motion on a geodesic is force-free motion.  If you have rocket, for 
> example, you can travel on a non-geodesic, but 4-momentum is still 
> conserved considering your rocket and its exhaust.
>

*OK, but what I meant was this; when the force causing a non-geodesic 
motion is discontinued, geodesic motion is restored. Is this baked into the 
field equations and thus can be understood as the result of the postulates 
of GR? AG *

>
> Incidentally, if one accepts GR as a "valid" model of gravity, doesn't 
> that preclude any coupling between gravity and EM? AG 
>
> Photons couple the same as other mass-energy, they travel on geodesics 
> absent some other interaction.
>

*OK, but what I meant by "coupling" would be if EM had a role in producing 
the gravitational phenomenon other than its mass-energy contribution. As I 
understand GR, it is solely the mass-energy of anything that produces the 
geometry of spacetime, and thus gravity, nothing specifically 
electromagnetic. AG *

>
> Brent
>
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