Why sig(2,2)

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Why sig(2,2)

05/14/2026

F(z,w) = (z² + βw, z), β ∈ ℝ, β ≠ 0, on C² = R⁴.
At the fixed point:
J(0) = [[0, βI₂], [I₂, 0]]
J(0)² = βI₄.
Q = x₁x₃ + x₂x₄.
sig(Q) = (2,2).
J(0)ᵀGJ(0) = βG.

sig(2,2) — conformal at the fixed point, forced by nonlinear memory, not chosen.