PAllen
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stevendaryl said:We have the claim:To me, that claim IS the equivalence principle. If the equivalence principle is false, then that claim is false.
For example, we have another criterion for inertial motion, which is that "An inertial path is one that maximizes proper time". It's conceivable that that would give a different answer as to what is an inertial path than freefall. GR says that freefall = inertial, but that's an empirical question. You can't assume it.
Isn't maximizing proper time a local criterion?
That's a really interesting point, in that Schild's notion of an SR based gravity theory, based on his argument, would necessarily violate the POE in relation to proper time. In such a theory, the (non free fall) inertial paths would be those that maximize proper time.