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Reddit mentions of Introduction to Differential Geometry of Space Curves and Surfaces: Differential Geometry of Curves and Surfaces
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I am literally a physicist and I literally studied those things you're describing (the structure of accretion disks given some stochastic dynamics).
Again. We don't care about the why. We care about the how. And we already know how mass-energy causes spacetime curvature.
Read these, then we will have a discussion about the how of gravitational physics:
https://smile.amazon.com/Gravitation-Charles-W-Misner/dp/0691177791
https://smile.amazon.com/Introduction-Differential-Geometry-Curves-Surfaces/dp/1546735895