๐ข TodaLattice/MassGap/Infinite
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.
src claim
- method
linear_phonon, reliabilityhigh, refs: Toda 1967 | Flaschka 1974 - Linearised acoustic phonon ฯ(k) = 2โ(ab)|sin(k/2)| โ MassGap = 0. Soliton / quantum-Toda spectrum tracked as Phase 2.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | ๐ข structural | Toda chain acoustic branch is gapless: MassGap = 0 | test/models/classical/test_toda_lattice.jl |
@sweep | second_closed_form | ๐ข structural | Flaschka 1974 / Henon 1974: integrable Toda lattice with acoustic phonons โ MassGap = 0 | test/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(; a = a, b = b), 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 ๐ข
- cards: 2 ยท model ED-feasible
- RES not wired โ measured residuals / confidence are not shown yet.