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PAllen
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But that has nothing to do with with the argument that gravitational dilation implies curvature. Again, curvature is local not global, and gravitational time dilation does not require curvature as proved by the fact that the defining experiment detecting it did not detect anything about curvature. The valid way if distinguishing Pound Rebka from an SR effect is to note that the world lines with proper acceleration maintain static distance from an inertial body (earth), which is not possible in SR. I remain convinced that your OP establishes that the claim that gravitational time dilation per se ( and the parallelogram argument) establishes curvature is simply false.PeterDonis said:Yes, but as I understand his point, the key difference between them that I pointed out--that the SC KVF is normalizable at infinity while the Rindler KVF is not--is fully determined by the local properties of the respective KVFs--in this case, the difference in their derivatives (the Rindler KVF's norm increases linearly with height, while the SC KVF's norm does not).