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on-this-day · march 20

illustration of gravity probe b circling earth, demonstrating the spacetime curvature predicted by einstein's general relativity

gravity probe b orbiting earth — demonstrating spacetime curvature as predicted by einstein's general theory of relativity. source: wikimedia commons

Gravity as Geometry

On this day in 1916 — Albert Einstein published his general theory of relativity. Gravity is geometry.

2 min read

On March 20, 1916, Albert Einstein published his general theory of relativity in the Annalen der Physik. The paper redefined gravity not as a force but as spacetime curvature. Mass warps the fabric of the universe, and objects follow the curves mass creates. No pull, no tether. A planet orbits a star because the star bends space. The planet follows the straightest path through bent geometry.

Einstein worked on the problem for a decade. Special relativity could not account for gravity. Newton assumed gravity acted instantaneously, contradicting Einstein's speed-of-light limit. Using Riemannian geometry with mathematician Marcel Grossmann, Einstein produced the field equations: ten interrelated differential equations describing how matter determines curvature, and how curvature tells matter to move.

portrait of albert einstein, who published the general theory of relativity on march 20, 1916

albert einstein, who published the general theory of relativity in 1916. source: wikimedia commons

The equations predicted Mercury's orbital anomalies better than Newton. They predicted light bending near the Sun, confirmed in a 1919 eclipse that made Einstein famous. What makes general relativity radical is eliminating gravity as a separate force. An apple falls because Earth curves spacetime so the apple's natural path points groundward. Time runs slower in strong gravitational fields. GPS systems must account for this.

The theory predicts black holes, gravitational waves, and cosmic expansion. All confirmed. Gravitational waves, predicted in 1916, were detected in 2015. Just as Rudolf Diesel reimagined combustion as compression, Einstein reimagined gravity as curvature. The shift is from asking how things happen to asking what shape the underlying system must have. The designer's task is finding the geometry that produces the desired behavior. Einstein found the geometry of the universe.

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