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Spin-chain gap reference suite
Family 268: The spin-one Haldane gap. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Tensor-network and quantum-materials researchers can test spin-one Heisenberg simulations against the claimed uniform gap and boundary-state distinctions.
Applicability and commercial boundary
Even periodic rings and odd open chains with the specific endpoint field are distinct cases. A uniform existence bound may not provide a usable finite-chain certified gap value.
Initial business decision
Research benchmark. Buyer budget, commercial novelty and profitability are unvalidated.
Next verification action
Inspect effective gap constants and create a small exact-diagonalization reference before proposing a materials product.
Evidence scope
The catalog statement was individually reviewed. This record does not imply a manuscript proof review or formal-scope comparison. No independent Lean check was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.