Infinite`

Provisional v2 view — RES not wired

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

`src` claim

method bdg, status exact, reliability high

Corroboration

regime	mechanism	independence	refs	file
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`
`@sweep`	`second_closed_form`	🟢 structural	Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀	`test/models/quantum/TFIM/test_TFIM_free_energy_batch.jl`

Test calls

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

verify(TFIM(; 0.5 = 0.5, h = 0.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 0.5 = 0.0, h = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -0.5, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 0.5 = 0.5, h = 0.5), FreeEnergy(), Infinite(); route = :second_closed_form, independent = (-4 * 0.5) / π, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 1.0 = 1.0, h = 0.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -1.0, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 1.0 = 0.0, h = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -1.0, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 1.0 = 1.0, h = 1.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = (-4 * 1.0) / π, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 2.0 = 2.0, h = 0.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -2.0, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=0 dispersion flat Λ=2J ⇒ ε₀ = -J; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 2.0 = 0.0, h = 2.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = -2.0, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at J=0 dispersion flat Λ=2h ⇒ ε₀ = -h; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

verify(TFIM(; 2.0 = 2.0, h = 2.0), FreeEnergy(), Infinite(); route = :second_closed_form, independent = (-4 * 2.0) / π, agree_within = 1.0e-5, refs = ["Pfeuty 1970: at h=J critical point ε₀ = -4J/π; β→∞ free energy → ε₀"], fetch_kw = (; beta = 1.0e6))

Assurance (provisional)

level: corroborated-at-p 🟢
cards: 9 · model ED-feasible
RES not wired — measured residuals / confidence are not shown yet.

← Model: TFIM · Quantity: FreeEnergy · Atlas index

🟢 TFIM/FreeEnergy/Infinite

src claim

Corroboration

Test calls

Assurance (provisional)

🟢 `TFIM/FreeEnergy/Infinite`

`src` claim