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Q(x_n, x_{n+1}) = (−1)^n · Q(x_0, x_1) for C₂, proved by induction. Corollary: all C₂ states lie on u²−v² = (−1)^n Q(x_0,x_1) in Minkowski(1,1). For Fibonacci: u²−v² = ±1. General initial conditions.
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Title CCFU Proof 9 — Cassini Identity and H¹ Orbit
Q(x_n, x_{n+1}) = (−1)^n · Q(x_0, x_1) for C₂, proved by induction. Corollary: all C₂ states lie on u²−v² = (−1)^n Q(x_0,x_1) in Minkowski(1,1). For Fibonacci: u²−v² = ±1. General initial conditions.
Work type Research papers, Thesis, Lecture notes
Tags fibonacci, cassini identity, mathematics, minkowski, proof, induction, ccfu, hyperbolic orbit
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Identifier 2605165670785
Entry date May 16, 2026, 1:31 AM UTC
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 16, 2026.
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