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Proves sig(2,2) is universal at the fixed point for all holomorphic degree-2 memory maps F(z,w) = (z² + αzw + βw, z + γw) with β ≠ 0. Eigenvalues of J(0)ᵀGJ(0) have opposite signs regardless of parameters. No choice of F avoids sig(2,2). Self-contained, uses Proof 3 setup.
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Title CCFU Proof 26 — Fixed-Point sig(2,2) for Degree-2 Memory Maps
Proves sig(2,2) is universal at the fixed point for all holomorphic degree-2 memory maps F(z,w) = (z² + αzw + βw, z + γw) with β ≠ 0. Eigenvalues of J(0)ᵀGJ(0) have opposite signs regardless of parameters. No choice of F avoids sig(2,2). Self-contained, uses Proof 3 setup.
Work type Research papers, Thesis, Lecture notes
Tags proof, ccfu, companion matrix, mathematics, invariant form, signature, spectrum, explicit construction
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Identifier 2605255777417
Entry date May 25, 2026, 8:41 AM UTC
License All rights reserved
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 25, 2026.
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