Cayley–Dickson construction (framework) — Lineage of Geometric Ontogenesis

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Cayley–Dickson construction (framework) (Framework) in Lineage of Geometric Ontogenesis. Era: 1919. Formula: Dimension-doubling: (a,b)(c,d) = (ac − d*b, da + bc*). Origin axiom of path: Euclidean geometry as static container. Modern reach: Hamiltonian algebra -> Octonions/Leech packing -> Amplituhedron.

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Canonical: https://axiom.tanaakk.com/lineage/geometric-ontogenesis-path/cayley-dickson-construction/