On 3/10/2018 7:32 PM, [email protected] wrote:
On Saturday, March 10, 2018 at 10:09:45 PM UTC-5, Brent wrote:
On 3/10/2018 5:04 PM, [email protected] <javascript:> wrote:
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
In the Lorentz metric a geodesic is the longest path between two
time-like events.
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
He didn't "choose" it, it's implicit in the motion being force-free. As
Russell pointed out it's implied by conservation of energy-momentum.
Brent
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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