๐ต TFIM/SpecificHeat/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.
An independent card exists and the value satisfies an internal invariant; no external value re-derives it yet.
src claim
- method
bdg, statusexact, reliabilityhigh
Corroboration
| regime | mechanism | independence | refs | file |
|---|---|---|---|---|
@sweep | limiting_case | ๐ก asserted | TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | limiting_case | ๐ก asserted | TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system) | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | limiting_case | ๐ก asserted | TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | limiting_case | ๐ก asserted | TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system) | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | limiting_case | ๐ก asserted | TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | limiting_case | ๐ก asserted | TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system) | test/models/quantum/TFIM/test_TFIM_specific_heat_batch.jl |
@sweep | sum_rule | ๐ก asserted | c_v = -ฮฒยฒ โฮต/โฮฒ โ independent AutoDiff through QAtlas.fetch(Energy, Infinite) at the same (J,h,ฮฒ) | test/verification/universality/test_thermo_identity_quantum.jl |
Test calls
The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):
verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly"], fetch_kw = (; beta = 100.0))verify(TFIM(; 1.0 = 1.0, 0.5 = 0.5), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 0.0001, refs = ["TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system)"], fetch_kw = (; beta = 0.001))verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly"], fetch_kw = (; beta = 100.0))verify(TFIM(; 1.0 = 1.0, 2.0 = 2.0), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 0.0001, refs = ["TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system)"], fetch_kw = (; beta = 0.001))verify(TFIM(; 0.5 = 0.5, 2.0 = 2.0), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 1.0e-9, refs = ["TFIM gapped phase (h โ J): c(T โ 0) โ exp(-ฮ/T) โ 0 exactly"], fetch_kw = (; beta = 100.0))verify(TFIM(; 0.5 = 0.5, 2.0 = 2.0), SpecificHeat(), Infinite(); route = :limiting_case, independent = 0.0, agree_within = 0.0001, refs = ["TFIM at T โ โ: c โ 0 as ~ฮฒยฒ (high-T tail of bounded-spectrum quantum system)"], fetch_kw = (; beta = 0.001))verify(TFIM(; J = J, h = h), SpecificHeat(), Infinite(); route = :sum_rule, fetch_kw = (; beta = (0.5, 1.0, 2.0)), independent = -((0.5, 1.0, 2.0) ^ 2) * ForwardDiff.derivative((b->begin QAtlas.fetch(TFIM(; J = J, h = h), Energy(), Infinite(); beta = b) end), (0.5, 1.0, 2.0)), agree_within = 1.0e-8, at = ["J=$(J)", "h=$(h)", "ฮฒ=$((0.5, 1.0, 2.0))"], refs = ["c_v = -ฮฒยฒ โฮต/โฮฒ โ independent AutoDiff through QAtlas.fetch(Energy, Infinite) at the same (J,h,ฮฒ)"])Assurance (provisional)
- level: coherent ๐ต
- cards: 7 ยท model ED-feasible
- RES not wired โ measured residuals / confidence are not shown yet.