🟢 SLEkappa/FractalDimension/Infinite
Generated by docs/atlas/generate.jl — 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 — 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: Beffara2008 - dH(κ) = min(2, 1 + κ/8); cap at dH = 2 for κ ≥ 8 (space-filling regime).
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | second_closed_form | 🟢 structural | Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8 | test/models/classical/test_sle_kappa.jl |
@sweep | second_closed_form | 🟢 structural | Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8 | test/models/classical/test_sle_kappa.jl |
@sweep | second_closed_form | 🟢 structural | Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8 | test/models/classical/test_sle_kappa.jl |
@sweep | second_closed_form | 🟢 structural | Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8 | test/models/classical/test_sle_kappa.jl |
@sweep | second_closed_form | 🟢 structural | Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8 | test/models/classical/test_sle_kappa.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(SLEkappa(; 2.0 = 2.0), FractalDimension(), Infinite(); route = :second_closed_form, independent = 1 + 2.0 / 8, agree_within = 1.0e-9, refs = ["Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8"])verify(SLEkappa(; 8 / 3 = 8 / 3), FractalDimension(), Infinite(); route = :second_closed_form, independent = 1 + (8 / 3) / 8, agree_within = 1.0e-9, refs = ["Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8"])verify(SLEkappa(; 3.0 = 3.0), FractalDimension(), Infinite(); route = :second_closed_form, independent = 1 + 3.0 / 8, agree_within = 1.0e-9, refs = ["Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8"])verify(SLEkappa(; 4.0 = 4.0), FractalDimension(), Infinite(); route = :second_closed_form, independent = 1 + 4.0 / 8, agree_within = 1.0e-9, refs = ["Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8"])verify(SLEkappa(; 6.0 = 6.0), FractalDimension(), Infinite(); route = :second_closed_form, independent = 1 + 6.0 / 8, agree_within = 1.0e-9, refs = ["Beffara 2008: SLE_κ curve fractal dimension D = 1 + κ/8"])Assurance (provisional)
- level: corroborated-at-p 🟢
- cards: 5 · model ED-feasible
- RES not wired — measured residuals / confidence are not shown yet.
← Model: SLEkappa · Quantity: FractalDimension · Atlas index