๐ข SixVertex/ResidualEntropy/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
analytic, statusexact, reliabilityhigh, refs: Lieb1967a | Lieb1967b | Sutherland1967 | Baxter1982 - Configurational entropy density S = E - f. Square ice (a=b=c): S/N = (3/2) log(4/3) โ 0.4315231. FE phase: 0. Calculated off-diagonal using exact FreeEnergy and Energy.
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | limiting_case | ๐ก asserted | Ferroelectric phase (ฮ>1): frozen, residual entropy S = 0 | test/models/classical/test_six_vertex.jl |
@sweep | second_closed_form | ๐ข structural | Lieb 1967: square-ice residual entropy S = (3/2) log(4/3) โ 0.4315 | test/models/classical/test_six_vertex.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(SixVertex(; a = 3.0, b = 1.0, c = 1.0), ResidualEntropy(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-10, refs = ["Ferroelectric phase (ฮ>1): frozen, residual entropy S = 0"])verify(SixVertex(; a = 1.0, b = 1.0, c = 1.0), ResidualEntropy(), Infinite(); route = :second_closed_form, independent = (3 / 2) * log(4 / 3), agree_within = 1.0e-9, refs = ["Lieb 1967: square-ice residual entropy S = (3/2) log(4/3) โ 0.4315"])Assurance (provisional)
- level: corroborated-at-p ๐ข
- cards: 2 ยท model ED-feasible
- RES not wired โ measured residuals / confidence are not shown yet.
โ Model: SixVertex ยท Quantity: ResidualEntropy ยท Atlas index