If you drop an object through a hole in the Earth stretching from the North Pole to the South Pole, it would oscillate back and forth about 17 times per daypic.twitter.com/crCfBFK2qp
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Good. Another assumption: •No Rotation. If rotation were considered then the oscillation tunnel solution becomes a 3-D curve resembling the curves on a wicker basket, the projection onto the equatorial plane is a hypocycloid; Foucault Pendulum movement. https://www.maa.org/press/maa-reviews/hesiods-anvil-falling-and-spinning-through-heaven-and-earth …
the no rotation isn't necessary when dropping the ball perfectly along the rotation axis
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Excellent!
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Can we turn the solid round ball into a neutral cold round ball of fine dust and watch the Weyl curvature and the other things Synge measures with his five-point detector? (ch XI, §8 of his _Gravitation_) Maybe also add microwaves to do something like https://en.wikipedia.org/wiki/Atomic_fountain … ?
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Synge's _Relativity: The General Theory_ (1960), of course. I was so excited by the idea of your vacuum drop "tower" that I forgot which textbook I was actually looking at.
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