{
  "scope": "T127: original rectangular phase-elastic model + declared ideal mixture.\n\nJ,Sigma,f and lattice spacing a=1 follow PRX13,041010 C3/C4. Literal\nprinted end-cap and a few normalization expressions in the source do not agree\nwith that rectangular energy. End cost here is obtained by its actual asymptotic\nexpansion, with no fit; line tension is Sigma/2 per physical boundary length.\nIdeal monomer+rigid-worm mixture omits short oligomers, bending/branch entropy,\nexcluded volume and defects. The independent birth/death controls are examples,\nnot a simulation of the original 2D XY lattice dynamics.\n",
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      "solver_diagnostic": {
        "success": true,
        "nfev": 1356,
        "nlu": 118,
        "raw_min_probability": 0.0,
        "raw_max_mass_error": 1.3034018309099338e-13,
        "switch_time": 10000.0,
        "solver": "Sparse BDF to 1e4, then nonzero symmetric modes plus exact equilibrium; delta initial state never spectrally rescaled"
      }
    }
  },
  "source_consistency": [
    "2025 defines physical line tension sigma=Sigma/(2a), used to reconcile physical perimeter with lattice missing-bond energy.",
    "End cost from rectangular C3 itself is Sigma W*(1\u221296(1\u22122^\u22125)zeta(5)/pi^5); literal C6 Delta=Sigma/W* is not silently used.",
    "Chemical potential has energy units: beta mu=ln(phi1), distinct from the dimensionless shorthand printed near C7."
  ],
  "limits": [
    "Only defect-free rectangular ground states and ideal monomer+two-orientation rigid worms; no original 2D MC executed.",
    "The n<n0 oligomers, bending/branch entropy, microscopic width cutoff and excluded volume are omitted. Values are not fits to the original MC mass distribution.",
    "Bulk g is independently specified for a sensitivity control; neither the true sponge free energy nor exact finite-T phase boundary is obtained.",
    "Single-cluster birth/death controls demonstrate kinetics/supply/equilibrium distinctions, not many-cluster physical assembly kinetics."
  ]
}