On Saturday, March 10, 2018 at 10:09:45 PM UTC-5, Brent wrote:
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> On 3/10/2018 5:04 PM, [email protected] <javascript:> wrote:
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> On Sunday, March 4, 2018 at 11:35:24 PM UTC-5, [email protected] wrote: 
>>
>> I don't think so. I think its equations of motion mix time and space, so 
>> if time increases, spatial position must change. That is, the assumption 
>> that time increases, produces changes in spatial position. CMIIAW. AG
>>
>
> Here's a related question; if you assume a 4d spacetime manifold, how does 
> one imagine the shortest path between two points, aka a geodesic path, 
> using the Lorentzian metric? AG 
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> In the Lorentz metric a geodesic is the longest path between two time-like 
> events.
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> Brent
>

Right; we've discussed this in the past. But if that's true, why choose 
motion along a geodesic in spacetime for a model of gravity if it's the 
LONGEST path between two time-like events. Wasn't Einstein motivated by the 
fact that a geodesic along a sphere using the Euclidean metric for path 
length, is the SHORTEST distance between two points on a sphere? AG

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