{
  "schema_version": "qft-overview-figure/v1",
  "artifact_id": "qft.artifact.many-body-quantum-matter.disorder-localization-glasses-validity-and-failure-map",
  "title": "Disorder, localization and glasses: validity and failure map",
  "schematic": true,
  "not_to_scale": true,
  "evidence_cutoff": "2026-08-10",
  "description_url": "/many-body-quantum-matter/disorder-localization-glasses/rare-regions-many-body-localization/#nonvisual-description-of-the-disorder-validity-figure",
  "nodes": {
    "start": {
      "role": "claim",
      "content_tex": "Candidate interacting-disorder or glass claim"
    },
    "phase": {
      "role": "test",
      "content_tex": "Phase diagnostic: stiffness, compressibility, gap, overlap, or local memory identified separately"
    },
    "phasefail": {
      "role": "stop",
      "content_tex": "One response anomaly only; no unique Bose-glass, localized, or glass phase"
    },
    "distribution": {
      "role": "test",
      "content_tex": "Distribution check: disorder quantiles and rare-region tails converge with sample count and volume"
    },
    "distfail": {
      "role": "stop",
      "content_tex": "Typical-sample trend only; rare-event mechanism remains unresolved"
    },
    "avalanche": {
      "role": "test",
      "content_tex": "Avalanche check: inclusion level spacing versus couplings, with localization-length convention stated"
    },
    "avalfail": {
      "role": "stop",
      "content_tex": "Long-lived finite system only; no demonstrated asymptotic stability"
    },
    "scaling": {
      "role": "test",
      "content_tex": "Joint size--time check: crossing drift, longest relaxation, bath size, and preparation protocol"
    },
    "scalefail": {
      "role": "stop",
      "content_tex": "Preasymptotic memory or aging window only; no thermodynamic extrapolation"
    },
    "glass": {
      "role": "test",
      "content_tex": "Glass-order check: overlap structure, replicon or susceptibility, and finite-dimensional stability"
    },
    "glassfail": {
      "role": "stop",
      "content_tex": "Mean-field RSB or slow relaxation only; finite-dimensional order not established"
    },
    "alternatives": {
      "role": "test",
      "content_tex": "Competing explanations: Griffiths tails, domains, kinetic constraints, fragmentation, Stark or prethermal memory"
    },
    "altfail": {
      "role": "stop",
      "content_tex": "Model- and window-specific evidence remains nonunique"
    }
  },
  "edges": {
    "phase--failure-exit--phasefail": {
      "from": "phase",
      "to": "phasefail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "distribution--failure-exit--distfail": {
      "from": "distribution",
      "to": "distfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "avalanche--failure-exit--avalfail": {
      "from": "avalanche",
      "to": "avalfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "scaling--failure-exit--scalefail": {
      "from": "scaling",
      "to": "scalefail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "glass--failure-exit--glassfail": {
      "from": "glass",
      "to": "glassfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "alternatives--failure-exit--altfail": {
      "from": "alternatives",
      "to": "altfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "start--required-test--phase": {
      "from": "start",
      "to": "phase",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--distribution": {
      "from": "start",
      "to": "distribution",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--avalanche": {
      "from": "start",
      "to": "avalanche",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--scaling": {
      "from": "start",
      "to": "scaling",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--glass": {
      "from": "start",
      "to": "glass",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--alternatives": {
      "from": "start",
      "to": "alternatives",
      "relation": "required-test",
      "label_tex": ""
    }
  },
  "context": [
    "Select the tests required by the claim. A solid branch adds its displayed control; a dashed exit preserves the narrower statement. Evidence cutoff: 10 August 2026."
  ],
  "linear_equivalent": {
    "heading": "Nonvisual description of the disorder validity figure",
    "columns": [
      "Test selected",
      "Control added by the solid branch",
      "Dashed-exit conclusion when the test fails"
    ],
    "rows": {
      "row-9149acb689b942a0": {
        "key": "Phase diagnostic",
        "cells": [
          "Phase diagnostic",
          "Identify stiffness, compressibility, a gap, overlap order, and local memory separately.",
          "One response anomaly does not uniquely establish a Bose glass, localized phase, or glass phase."
        ]
      },
      "row-fbfa285baaf6db32": {
        "key": "Distribution check",
        "cells": [
          "Distribution check",
          "Converge disorder quantiles and rare-region tails with both realization count and volume.",
          "A typical-sample trend leaves the rare-event mechanism unresolved."
        ]
      },
      "row-b872f502e13ea2c9": {
        "key": "Avalanche check",
        "cells": [
          "Avalanche check",
          "Compare inclusion level spacing with couplings in a stated localization-length convention.",
          "A long-lived finite system does not demonstrate asymptotic stability."
        ]
      },
      "row-76190402754551a3": {
        "key": "Joint size–time check",
        "cells": [
          "Joint size–time check",
          "Track crossing drift, the longest relaxation, bath size, and preparation protocol.",
          "The result is a preasymptotic memory or aging window, not a thermodynamic extrapolation."
        ]
      },
      "row-58b1de2b5fbe4b86": {
        "key": "Glass-order check",
        "cells": [
          "Glass-order check",
          "Combine overlap structure, a replicon or susceptibility test, and finite-dimensional stability.",
          "Mean-field replica-symmetry breaking or slow relaxation alone does not establish finite-dimensional order."
        ]
      },
      "row-404a5ebe0262a5e7": {
        "key": "Competing-explanation check",
        "cells": [
          "Competing-explanation check",
          "Test Griffiths tails, domains, kinetic constraints, fragmentation, Stark localization, and prethermal memory.",
          "The evidence remains model- and window-specific and nonunique."
        ]
      }
    }
  }
}