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๐ŸŸข SSH/MassGap/Infinite

Provisional v2 view โ€” RES not wired

Generated by docs/atlas/generate.jl โ€” a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run โ€” a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: SSH1979
  • Single-particle gap min_k|q(k)| = ||v|โˆ’|w|| (|vโˆ’w| for same-sign; band gap is 2ร—).

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)
@sweepsecond_closed_form๐ŸŸข structuralSSH 1979: single-particle gap = min_kq(k)

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(SSH(; 1.0 = 1.0, 0.4 = 0.4), MassGap(), Infinite(); route = :second_closed_form, independent = 0.6, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; 0.4 = 0.4, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.6, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; 0.0 = 0.0, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; 1.0 = 1.0, 0.0 = 0.0), MassGap(), Infinite(); route = :second_closed_form, independent = 1.0, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; -0.5 = -0.5, 0.7 = 0.7), MassGap(), Infinite(); route = :second_closed_form, independent = 0.2, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; 0.6 = 0.6, -1.0 = -1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.4, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])
verify(SSH(; -1.0 = -1.0, -0.4 = -0.4), MassGap(), Infinite(); route = :second_closed_form, independent = 0.6, agree_within = 1.0e-12, refs = ["SSH 1979: single-particle gap = min_k|q(k)| = ||v|โˆ’|w|| (band gap 2ร—)"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 7 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: SSH ยท Quantity: MassGap ยท Atlas index