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roomforthetuna posted:Nice. That is indeed the exact same kind of thing, where it uncomfortably feels like an impossibly unlikely coincidence for the math to work out that way. It's not a coincidence. The shell theorem is a mathematical consequence of the inverse square law, which is a consequence of energy conservation & the gravitational field being a conservative vector field. Energy conservation is itself a consequence of time translation symmetry and you can go on and on. These aren't coincidences so much as they are different ways of mathematically expressing the same relationship.
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# ¿ Apr 26, 2021 18:33 |
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# ¿ Apr 26, 2024 14:11 |