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The insight "Grief reads walls; joy reads tendons" conceals an exact structure from algebraic topology.
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Affective Duality: Grief, Joy, and the Universal Coefficient Theorem
Grief and joy map onto homology and cohomology: the Universal Coefficient Theorem shows joy decomposes into a dual of grief plus irreducible surplus from cyclic grief, while Poincaré duality reveals both as complementary readings of the same experiential space.
March 29, 2026
· 908 words
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