{
  "artifact_id": "qft.artifact.many-body-quantum-matter.volume-evidence-and-validity-ladder",
  "title": "Volume-wide evidence classes and claim ceilings",
  "scope": "Qualitative evidence comparison. The rows are partly independent classes, not a strict total order.",
  "table_id": "volume-evidence-and-validity-ladder",
  "columns": [
    "Evidence level",
    "What may be concluded",
    "Required support",
    "What it does not establish"
  ],
  "rows": [
    {
      "Evidence level": "Exact identity or theorem",
      "What may be concluded": "The stated relation holds under its definitions and hypotheses",
      "Required support": "derivation or theorem with domains, state, limits, and conventions",
      "What it does not establish": "applicability to a material, uncontrolled approximation, or different limit"
    },
    {
      "Evidence level": "Controlled calculation",
      "What may be concluded": "An observable has a stated expansion or error in a declared regime",
      "Required support": "power counting, remainder or convergence evidence, and independent checks",
      "What it does not establish": "behavior beyond the control window"
    },
    {
      "Evidence level": "Effective-description result",
      "What may be concluded": "A low-energy model reproduces specified observables over a calibrated range",
      "Required support": "matching data, retained symmetries, breakdown scale, and negative tests",
      "What it does not establish": "unique microscopic origin or universal phase identity"
    },
    {
      "Evidence level": "Numerical phase evidence",
      "What may be concluded": "Finite representations support or disfavor candidate phases",
      "Required support": "symmetry sectors, cutoff and size sequences, solver errors, drift, and competing diagnostics",
      "What it does not establish": "a thermodynamic phase boundary from one crossing or cluster"
    },
    {
      "Evidence level": "Experimental response evidence",
      "What may be concluded": "A normalized response feature is present within stated uncertainty",
      "Required support": "probe matrix element, resolution, background, covariance, reproducibility, and alternatives",
      "What it does not establish": "unique quasiparticle, order, topology, or mechanism from one feature"
    },
    {
      "Evidence level": "Platform realization evidence",
      "What may be concluded": "A device or atomic system implements and probes an effective Hamiltonian in a calibrated window",
      "Required support": "preparation, scale hierarchy, loss/heating/control errors, and observable validation",
      "What it does not establish": "exact realization outside the window or equivalence to a target material"
    },
    {
      "Evidence level": "Model-phase identification",
      "What may be concluded": "A specified Hamiltonian or field theory has the stated phase under declared limits",
      "Required support": "a theorem or converged complementary diagnostics, phase-boundary control, and exclusion of viable model phases",
      "What it does not establish": "realization of that phase in a platform or material"
    },
    {
      "Evidence level": "Platform, material, or mechanism attribution",
      "What may be concluded": "Multiple independent observations favor a specific realization or mechanism over viable alternatives",
      "Required support": "calibrated model-to-system matching, joint comparison, shared-systematic accounting, predictive and null tests, and a supersession record",
      "What it does not establish": "certainty stronger than the weakest analytic, numerical, or experimental input"
    }
  ],
  "ordering_rule": "Theorem, numerical, experimental, and platform evidence can form partly independent branches. Additional obligations arise only when a claim crosses from a model-side statement toward a platform, material, or mechanism attribution."
}