{"id":"palomar/PALOMAR-2026-10-11-000019","url":"https://github.com/JD-Jones-ASES/chiral-gap/tree/3414bf564e0afd92d713ced8ba51c28db96834b2","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-11-000019-v1.json","repo":"https://github.com/JD-Jones-ASES/chiral-gap","tags":["math.SP","math-ph","msc:15A18","msc:15A42","msc:47A75","msc:81Q10","spectral-theory","chiral-chains","matrix-analysis"],"score":0,"title":"Exact robust gaps in finite open chiral chains","trust":"high","domain":"math.SP","source":"palomar","authors":["JD Jones"],"reviews":0,"subject":"math.SP","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-11","reactions":{},"formalized":true}