{
  "schema_version": "qft-overview-figure/v1",
  "artifact_id": "qft.artifact.many-body-quantum-matter.integrable-quantum-matter-generalized-hydrodynamics-validity-and-failure-map",
  "title": "Integrable quantum matter: validity and failure map",
  "schematic": true,
  "not_to_scale": true,
  "evidence_cutoff": "2026-08-10",
  "description_url": "/many-body-quantum-matter/integrable-quantum-matter-generalized-hydrodynamics/finite-size-experimental-validation/#nonvisual-description-of-the-integrable-matter-validity-figure",
  "nodes": {
    "start": {
      "role": "claim",
      "content_tex": "Candidate GHD or integrable-platform claim"
    },
    "initial": {
      "role": "test",
      "content_tex": "Initial-state check: complete root density, GGE or overlaps, LDA gradient, preparation covariance"
    },
    "initialfail": {
      "role": "stop",
      "content_tex": "Prepared profile only; no unique local Bethe macrostate"
    },
    "euler": {
      "role": "test",
      "content_tex": "Euler check: dressed characteristics, force convention, conserved currents, grid and gradient window"
    },
    "eulerfail": {
      "role": "stop",
      "content_tex": "Kinematic profile only; Euler GHD remains unvalidated"
    },
    "diffusion": {
      "role": "test",
      "content_tex": "Diffusion check: $L=DC\\succeq0$, $C^{-1}$ metric, noise, anomalous sector and initial width"
    },
    "difffail": {
      "role": "stop",
      "content_tex": "Broadened front only; no identified Navier--Stokes operator"
    },
    "breaking": {
      "role": "test",
      "content_tex": "Breaking check: projected forces, resonances, residual charges, earliest and latest relevant rates"
    },
    "breakfail": {
      "role": "stop",
      "content_tex": "Finite prethermal window only; no asymptotic thermalization claim"
    },
    "finite": {
      "role": "test",
      "content_tex": "Finite-system check: rapidity cutoff, size, boundaries, recurrence, trap, transverse modes and loss"
    },
    "finitefail": {
      "role": "stop",
      "content_tex": "Thermodynamic-limit curve only; platform window unresolved"
    },
    "observation": {
      "role": "test",
      "content_tex": "Observation check: calibrated convolution, covariance, held-out times, alternative models and exact limits"
    },
    "obsfail": {
      "role": "stop",
      "content_tex": "Window-specific fit only; strongest theory-to-data claim is narrower"
    }
  },
  "edges": {
    "initial--failure-exit--initialfail": {
      "from": "initial",
      "to": "initialfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "euler--failure-exit--eulerfail": {
      "from": "euler",
      "to": "eulerfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "diffusion--failure-exit--difffail": {
      "from": "diffusion",
      "to": "difffail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "breaking--failure-exit--breakfail": {
      "from": "breaking",
      "to": "breakfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "finite--failure-exit--finitefail": {
      "from": "finite",
      "to": "finitefail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "observation--failure-exit--obsfail": {
      "from": "observation",
      "to": "obsfail",
      "relation": "failure-exit",
      "label_tex": "fails"
    },
    "start--required-test--initial": {
      "from": "start",
      "to": "initial",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--euler": {
      "from": "start",
      "to": "euler",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--diffusion": {
      "from": "start",
      "to": "diffusion",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--breaking": {
      "from": "start",
      "to": "breaking",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--finite": {
      "from": "start",
      "to": "finite",
      "relation": "required-test",
      "label_tex": ""
    },
    "start--required-test--observation": {
      "from": "start",
      "to": "observation",
      "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 integrable-matter validity figure",
    "columns": [
      "Test selected",
      "Control added by the solid branch",
      "Dashed-exit conclusion when the test fails"
    ],
    "rows": {
      "row-273371e691f009e6": {
        "key": "Initial-state check",
        "cells": [
          "Initial-state check",
          "Establish a complete root density, GGE or overlaps, LDA gradient, and preparation covariance.",
          "A prepared profile does not uniquely determine a local Bethe macrostate."
        ]
      },
      "row-4003b462806f83fa": {
        "key": "Euler check",
        "cells": [
          "Euler check",
          "Test dressed characteristics, the force convention, conserved currents, grid convergence, and the gradient window.",
          "A kinematic profile alone does not validate Euler GHD."
        ]
      },
      "row-d4edd1e128039a6d": {
        "key": "Diffusion check",
        "cells": [
          "Diffusion check",
          "Require $L=DC\\succeq0$, the $C^{-1}$ metric, noise convention, anomalous-sector analysis, and calibrated initial width.",
          "A broadened front alone does not identify a Navier–Stokes operator."
        ]
      },
      "row-803852c22620e5ac": {
        "key": "Breaking check",
        "cells": [
          "Breaking check",
          "Project forces onto slow modes and resolve resonances, residual charges, and the earliest and latest relevant rates.",
          "The result is a finite prethermal window, not an asymptotic thermalization claim."
        ]
      },
      "row-d6a3eae99b1ed2d8": {
        "key": "Finite-system check",
        "cells": [
          "Finite-system check",
          "Converge rapidity cutoff and size while bounding boundaries, recurrence, trap, transverse modes, and loss.",
          "A thermodynamic-limit curve does not determine the experimental platform window."
        ]
      },
      "row-91cff73c8ddc2cf2": {
        "key": "Observation check",
        "cells": [
          "Observation check",
          "Calibrate convolution and covariance and test held-out times, alternatives, and exact limits.",
          "A window-specific fit supports only a narrower theory-to-data statement."
        ]
      }
    }
  }
}