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Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas cover image

211 | Solo: Secrets of Einstein's Equation

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

NOTE

The Fundamentals of Geometry

Euclidean geometry is flat with no curvature, while non-Euclidean geometry has curvature/nCurvature of space-time is related to gravity/nBernard Riemann developed the foundations of geometry and introduced the concept of living inside a space/nThe metric, which measures the length of curves, provides a complete description of a space's geometry/nThe concept of calculus is essential in determining the lengths of curves

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