feat: Step 612 — freeEnergy = log 2 + (|E|/|ι|) log cosh + polymerFreeEnergy/|ι| (Mayer expansion, GJ §18.4) - #1454
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…er expansion, GJ §18.4) Empty start commit. Connect freeEnergy to polymerFreeEnergy. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
…eEnergy/|ι| (Mayer expansion, GJ §18.4)
Add `freeEnergy_eq_polymerFreeEnergy`: under `0 < |ι|` and `0 ≤ β·J`,
freeEnergy G ⟨J, 0, β⟩ = log 2 + (|E|/|ι|) · log cosh(β·J)
+ polymerFreeEnergy G (tanh(β·J)) / |ι|
Restatement of `freeEnergy_high_temp_expansion_h_zero_closed` (Step 317)
using the polymer-family form of the partition function (via the
Step 547 bijection `evenSubgraphs ↔ vdCompatiblePolymerFamilies`).
Connects the actual Ising free energy to the polymer free energy:
the residual term `polymerFreeEnergy G (tanh(β·J)) / |ι|` is the
contribution from interactions captured by the polymer expansion.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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Part of #1344. Restate
freeEnergy_high_temp_expansion_h_zero_closed(Step 317) using the namedpolymerFreeEnergywrapper. Connects the actual Ising free energy to the polymer free energy.