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Exact robust gaps in finite open chiral chains

JD Jones

Palomar Registrypalomar/PALOMAR-2026-10-11-000019Oct 11, 2026math.SPscore 0

Exact worst squared spectral gaps for finite open chiral chains with inhomogeneous strong-bond lower bounds and weak-bond ratio intervals. The scalar optimum is the minimum over the ordered one-switch endpoint configurations, with a two-certificate reduction when cuts are allowed. Strictly positive weak lower bounds give a complete point-or-edge classification of scalar minimizers and an exact aligned-channel equality criterion for arbitrary complex matrix disorder. The sharp channel bound includes the finite chiral Hamiltonian spectral bridge.

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