V.R479 — Bipolar Involution and L-Function Reflection

The ξ-function functional equation ξ_k(s) = −ξ_k(1−s) has three structural parallels to the lemniscate bipolar swap: (1) critical line Re(s)=1/2 as fixed-point set (bipolar balance), (2) minus sign as orientation reversal of lobe exchange, (3) chirality factorisation L = L₊·L₋ matching two lobe sectors of L = S¹ ∨ S¹.