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After his divorce with Mileva, Einstein published a paper in Nature entitled "The Theory of the Affine Field." Allegedly it confused renowned scientists. Why? What did the paper accomplish? What was it about, really?

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It was Einstein's reaction to Eddington's ideas about a unified field theory based on a symmetric affine connection. Ultimately, it did not go anywhere.

Cf. Hubert F. M. Goenner: On the History of Unified Field Theories. There's also a second part.

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