CCFU Proof 12 — Geodesic Translation Length l(A₄²) = 2·ln φ
05/16/2026
2605165673908

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A₄² is a pure hyperbolic isometry in SO⁺(3,1) with trace 5 and translation length 2·ln φ. Corollary: the boost factor B translates by ln φ per step. Dependency: Proof 4.

Research papers, Thesis, Lecture notes
proof
geodesic
mathematics
ccfu​​​​​​​​​​​​​​​​
golden ratio
hyperbolic isometry
translation length

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Title CCFU Proof 12 — Geodesic Translation Length l(A₄²) = 2·ln φ
A₄² is a pure hyperbolic isometry in SO⁺(3,1) with trace 5 and translation length 2·ln φ. Corollary: the boost factor B translates by ln φ per step. Dependency: Proof 4.
Work type Research papers, Thesis, Lecture notes
Tags proof, geodesic, mathematics, ccfu​​​​​​​​​​​​​​​​, golden ratio, hyperbolic isometry, translation length

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Identifier 2605165673908
Entry date May 16, 2026, 12:33 PM UTC
License All rights reserved

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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 16, 2026.


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