{
  "title": "Existence Classification Problems Failure Map",
  "question": "Which erased dimension, uncontrolled limit, omitted reconstruction axiom, reversed comparison arrow, or promotion of evidence first breaks an existence or classification claim?",
  "takeaway": "A frontier claim fails as soon as its model label, uniform continuum control, complete observable and positivity data, implication direction, or dated source status is removed; the strongest surviving conclusion must stop before that change.",
  "figure_type": "failure",
  "schematic": true,
  "scale": "not to scale",
  "nodes": [
    {
      "id": "a0",
      "row": "claim checks",
      "label": "exact model and dimension\\\\typed claim target"
    },
    {
      "id": "a1",
      "row": "claim checks",
      "label": "regulator and tuned limits\\\\declared topology and positivity"
    },
    {
      "id": "a2",
      "row": "claim checks",
      "label": "complete observable construction\\\\reconstruction and uniqueness"
    },
    {
      "id": "a3",
      "row": "claim checks",
      "label": "separate property or comparison theorem\\\\gap, converse, or realization"
    },
    {
      "id": "a4",
      "row": "claim checks",
      "label": "dated source chain\\\\bounded conclusion and open obligation"
    },
    {
      "id": "b0",
      "row": "first broken step",
      "label": "erase dimension or model\\\\low-dimensional theorem overstated as 4D"
    },
    {
      "id": "b1",
      "row": "first broken step",
      "label": "fit finite data without tightness\\\\no continuum object"
    },
    {
      "id": "b2",
      "row": "first broken step",
      "label": "omit positivity or full hierarchy\\\\no reconstructed QFT"
    },
    {
      "id": "b3",
      "row": "first broken step",
      "label": "replace one-way result or evidence by equivalence\\\\converse, universality, or classification fails"
    },
    {
      "id": "b4",
      "row": "first broken step",
      "label": "use consensus or nearby citations\\\\status remains open"
    }
  ],
  "edges": [
    {
      "from": "a0",
      "to": "a1",
      "label": "regulator",
      "logical_status": "diagnostic sequence, not a universal implication"
    },
    {
      "from": "a1",
      "to": "a2",
      "label": "limits",
      "logical_status": "diagnostic sequence, not a universal implication"
    },
    {
      "from": "a2",
      "to": "a3",
      "label": "property",
      "logical_status": "diagnostic sequence, not a universal implication"
    },
    {
      "from": "a3",
      "to": "a4",
      "label": "status",
      "logical_status": "diagnostic sequence, not a universal implication"
    },
    {
      "from": "a0",
      "to": "b0",
      "label": "erase scope",
      "logical_status": "failure under removed or overstated hypothesis"
    },
    {
      "from": "a1",
      "to": "b1",
      "label": "extrapolate",
      "logical_status": "failure under removed or overstated hypothesis"
    },
    {
      "from": "a2",
      "to": "b2",
      "label": "omit axioms",
      "logical_status": "failure under removed or overstated hypothesis"
    },
    {
      "from": "a3",
      "to": "b3",
      "label": "reverse arrow",
      "logical_status": "failure under removed or overstated hypothesis"
    },
    {
      "from": "a4",
      "to": "b4",
      "label": "promote evidence",
      "logical_status": "failure under removed or overstated hypothesis"
    }
  ]
}