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Posted by Zephram Cochrane/">Zephram Cochrane on February 16, 2000 07:21:26 UTC

ZC: There are some corrections that need to be made. :After all, Einstein proved that gravity wasn't a force but a curvature in space-time right? Wrong!

ZC: Einstein did proved it wasn't a force as in a four force(a four vector is a rank one tensor), but was an effect of particle's tendency to follow geodesics "in" curved space and time.

: So I took solved the problem with the help of a relativist. And even he thought the body's weight wouldn't increase with speed.

ZC: This story I don't believe. First of all, any relativist knows that geodesic motion can be written as the covariant derivative of four momentum with respect to proper time equaling zero. If you want to call one of the terms of dPm/dt the weight, then its obvious that it depends on speed because the affine connection terms are summed with all the components of the four momentum. i.e. dPm/dt + GmlsPlPs = 0. Second of all it isn't as simplistic as "weight increases with speed". The nonlinear behavior of these differential equations makes it a much more dynamic relationship.


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