A straight line may be the shortest 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 between two points, but a "Brachistochrone" curve is the path of least timepic.twitter.com/aWPoz9X6i9
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And it would need to be a VERY massive object to provide much gravitational effect. The story goes that Isaac Newton dispatched this problem in a single night, after all the continental giants had worked on Bernoulli's challenge for months. "I know the lion by his roar." J.B.
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Right but we don’t have to assume gravity is what makes them speed up to relativistic speeds. We can ask what will happen if they start at those high speeds
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