Not directly, but a proof that gravity propagates through time as easily as through space should go some of the way towards demonstrating that it is a normal spacial dimension, and I've considered a test for that -
Gravity should, according to the ideas here, affect objects both in the past, and in the future. So if you have a large enough object to reliably detect its gravitational force, and a mechanism to stop it very suddenly, then, if you position yourself orthogonal to its resting place respective to its line of motion, at the moment the object stops, the center of gravity of its gravitational field should be further behind its line of motion than its current center of mass.
A direct test... I'll have to ponder that one.
if you have a large enough object to reliably detect its gravitational force, and a mechanism to stop it very suddenly, then, if you position yourself orthogonal to its resting place respective to its line of motion, at the moment the object stops, the center of gravity of its gravitational field should be further behind its line of motion than its current center of mass.
But it sounds to me as if this is just saying that gravity takes time to propagate, which I'm told is already a standard prediction of relativity, so it doesn't help me understand your ...
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