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๐ŸŸข IsingSquare/CriticalTemperature/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: Onsager1944
  • T_c = 2J/log(1+โˆš2).

Corroboration

regimemechanismindependencerefsfile
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: Tc = 2J / log(1+โˆš2)test/identities/test_identities_IsingSquare.jl
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: Tc = 2J / log(1+โˆš2)test/identities/test_identities_IsingSquare.jl
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: Tc = 2J / log(1+โˆš2) โ‰ˆ 2.269185 (ฮฒ=1/8 universality anchor)test/models/classical/test_IsingSquare_critical.jl
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: sinh(2 ฮฒc J) = 1 => Tc = 2J / log(1+โˆš2)test/models/classical/test_ising_onsager_yang.jl
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: sinh(2 ฮฒc J) = 1 => Tc = 2J / log(1+โˆš2)test/models/classical/test_ising_onsager_yang.jl
@onsagersecond_closed_form๐ŸŸข structuralOnsager 1944: Tc = 2J / log(1 + โˆš2) โ‰ˆ 2.269185test/verification/universality/test_universality_cross_check.jl

Test calls

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

verify(IsingSquare(; 1.0 = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (2 * 1.0) / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: Tc = 2J / log(1+โˆš2)"])
verify(IsingSquare(; 2.0 = 2.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (2 * 2.0) / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: Tc = 2J / log(1+โˆš2)"])
verify(IsingSquare(; J = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 2.0 / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: Tc = 2J / log(1+โˆš2) โ‰ˆ 2.269185 (ฮฒ=1/8 universality anchor)"])
verify(IsingSquare(; 1.0 = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (2 * 1.0) / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: sinh(2 ฮฒc J) = 1 => Tc = 2J / log(1+โˆš2)"])
verify(IsingSquare(; 2.0 = 2.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = (2 * 2.0) / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: sinh(2 ฮฒc J) = 1 => Tc = 2J / log(1+โˆš2)"])
verify(IsingSquare(; J = 1.0), CriticalTemperature(), Infinite(); route = :second_closed_form, independent = 2.0 / log(1 + sqrt(2)), agree_within = 1.0e-10, refs = ["Onsager 1944: Tc = 2J / log(1 + โˆš2) โ‰ˆ 2.269185"])

Assurance (provisional)

  • level: corroborated-at-p ๐ŸŸข
  • cards: 6 ยท model ED-feasible
  • RES not wired โ€” measured residuals / confidence are not shown yet.

โ† Model: IsingSquare ยท Quantity: CriticalTemperature ยท Atlas index