Whole World Holonomy | Galileo Unbound
Intuitive notions of parallelism fly out the window in curved worlds. The dynamics of Foucault’s pendulum may be dictated by the Coriolis force, but its kinematics are pure geometry, dictated…
Once upon a time the World was flat, and sailors feared falling off the edge if they sailed too far…at least that is how the fairy tale is told. Flat World was a simple World. Its inhabitants, the Flatworlders, carried vectors abount with them, vectors that were thick bundles of arrows, bound in a sheaf, that tended to point in a fixed direction. In Flat World, once a vector had been oriented one way, it kept that orientation, no matter what path the Flatworlder took, always being exactly the same when it returned to its starting point. Then came Cristobal Colon, and Carl Gauss and…
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