{
  "release": "EVE-QELTHA final 4.0",
  "date": "2026-10-20",
  "scope": "Specified passive linear reduced variational transport models; assumptions and complete proofs in manuscript.",
  "proved_within_stated_assumptions": [
    {
      "claim": "Coherence-dependent two-history determinant and rank classification",
      "source": "origins_and_capacity.tex"
    },
    {
      "claim": "Exact Bessel impedance, including original angular exponent 15/8 and logarithmic endpoint",
      "source": "origins_and_capacity.tex"
    },
    {
      "claim": "Common transported drainage kernel characterizes zero capacity; quantitative lower bound",
      "source": "origins_and_capacity.tex"
    },
    {
      "claim": "Weak-twist horn capacity k0*epsilon^gamma for s>(a+1)/2",
      "source": "baseline_twist.tex"
    },
    {
      "claim": "Equal-diagonal, globally isospectral compact kernels can yield different critical impedance fate",
      "source": "theorem_nexus.tex"
    },
    {
      "claim": "Balanced fixed finite-rank compact L1 ports preserve leading capacity uniformly for all strengths, including a hard constraint",
      "source": "theorem_nexus_uniform.tex"
    },
    {
      "claim": "Anchored weak-port joint asymptotic kappa=k0*epsilon^gamma+lambda*norm(L e2)^2+o(epsilon^gamma+lambda)",
      "source": "theorem_nexus_uniform.tex"
    },
    {
      "claim": "Log-periodic capacity, explicit small-amplitude nonconstancy, finite-band local inverse synthesis",
      "source": "theorem_logperiodic.tex"
    },
    {
      "claim": "Exact matrix connection/potential frame realization and sharp worst-case ambient dimension 2k",
      "source": "theorems_geometry.tex"
    },
    {
      "claim": "Sharp first-order finite-penalty inlet correction W/rho",
      "source": "theorems_geometry.tex"
    },
    {
      "claim": "One-bright microstructure realization in dimension k+1 with endpoint quantitative bounds",
      "source": "theorem_microstructure.tex"
    },
    {
      "claim": "Complete periodic critical scale-ratio variational limit V_tau=T^dagger D_tau T, tau in [0,infinity], assuming rho_n tends to infinity",
      "source": "theorem_critical.tex"
    },
    {
      "claim": "Critical inlet matrix-norm convergence and convergence of every fixed Dirichlet eigenvalue with multiplicity",
      "source": "theorem_critical.tex"
    },
    {
      "claim": "Critical compensation realizes any stated nonnegative target with C1 square root at every fixed positive ratio",
      "source": "theorem_critical.tex"
    }
  ],
  "computed": {
    "verification_suites": 10,
    "passed": 10,
    "pass_percentage": 100.0,
    "summary": "results/verification_summary.json",
    "interpretation": "Percentage refers only to successful shipped programs; not proof confidence, novelty probability, or physical validation."
  },
  "not_established": [
    "Literature-first priority, field-defining significance, or a certified major scientific breakthrough",
    "Formal proof-assistant certification",
    "Full fluid PDE derivation, physical higher-dimensional fluid, ordinary hydraulic-network realization, or experiments",
    "Arbitrary physical loop holonomy or curvature from a connection on an interval",
    "Critical convergence rate, critical norm-resolvent bound, or optimality of the old rho^(-1/3) achievable bound",
    "Uniform critical compensation resource bounds as tau approaches zero",
    "Aperiodic or arbitrary-frequency microstructure, infinite-rank/noncompact ports, inlet atoms, or escaping port supports",
    "Weak-twist threshold s=(a+1)/2 or its subcritical side",
    "Negative target potentials, nonlinear fluid laws, molecular reaction predictions, or universal computation"
  ],
  "prior_art_boundary": "Connections, dark-state geometric potentials, energy-form traces, oscillatory-constraint homogenization, and multiple scale-ratio regimes have established predecessors; exact novelty of the combined results is unverified.",
  "review": "Proofs audited within this collaboration; external specialist review remains needed."
}