๏‚›GitHub๏„

๐ŸŸข TodaLattice/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 linear_phonon, status exact, reliability high, refs: Toda1967 | Flaschka1974
  • Linearised acoustic phonon ฯ‰(k) = 2โˆš(ab)|sin(k/2)| โ‡’ MassGap = 0. Soliton / quantum-Toda spectrum tracked as Phase 2.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form๐ŸŸข structuralToda chain acoustic branch is gapless: MassGap = 0test/models/classical/test_toda_lattice.jl
@sweepsecond_closed_form๐ŸŸข structuralToda chain acoustic branch is gapless: MassGap = 0test/models/classical/test_toda_lattice.jl
@sweepsecond_closed_form๐ŸŸข structuralToda chain acoustic branch is gapless: MassGap = 0test/models/classical/test_toda_lattice.jl
@sweepsecond_closed_form๐ŸŸข structuralFlaschka 1974 / Henon 1974: integrable Toda lattice with acoustic phonons โ‡’ MassGap = 0test/models/classical/test_toda_lattice.jl

Test calls

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

verify(TodaLattice(; 1.0 = 1.0, 1.0 = 1.0), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Toda chain acoustic branch is gapless: MassGap = 0"])
verify(TodaLattice(; 2.0 = 2.0, 0.5 = 0.5), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Toda chain acoustic branch is gapless: MassGap = 0"])
verify(TodaLattice(; 0.7 = 0.7, 1.3 = 1.3), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Toda chain acoustic branch is gapless: MassGap = 0"])
verify(TodaLattice(), MassGap(), Infinite(); route = :second_closed_form, independent = 0.0, agree_within = 1.0e-12, refs = ["Flaschka 1974 / Henon 1974: integrable Toda lattice with acoustic phonons โ‡’ MassGap = 0"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 4 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

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