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    "title": "Horizon instability of extremal black holes",
    "summary": "Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds.",
    "boundary": "Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.",
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        "id": "aretakis-1206-6598-v2",
        "title": "Horizon Instability of Extremal Black Holes (arXiv 1206.6598v2)",
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            "citation": "Horizon Instability of Extremal Black Holes (arXiv 1206.6598v2)",
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        "description": "Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.",
        "domain": "General relativity and black holes"
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          "citation": "Horizon Instability of Extremal Black Holes (arXiv 1206.6598v2)",
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      "statement": "# Horizon instability of extremal black holes\n\nAretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds.\n\n## Scientific scope\n\nFixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nStefanos Aretakis\n\nThese are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.\n\n\n\n## Original sources\n\n- [Horizon Instability of Extremal Black Holes (arXiv 1206.6598v2)](https://arxiv.org/pdf/1206.6598v2)\n",
      "summary": "Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds.",
      "title": "Horizon instability of extremal black holes"
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    "title": "Horizon instability of extremal black holes",
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    "what_changed": "Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds.",
    "scope": "Aretakis established conserved horizon quantities for linear massless scalar waves on a class of smooth extremal axisymmetric black hole backgrounds and derived horizon non-decay; under additional geometric and decay conditions, higher transverse derivatives become unbounded. The extremal Kerr specialization gives explicit generic growth bounds. Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.",
    "evidence_summary": "The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. Fixed-background linear scalar waves on the stated extremal geometries; the general derivative blow-up result has additional assumptions and the Kerr growth result uses a nonzero conserved horizon charge. This is not a proof of nonlinear gravitational instability or an astronomical observation.",
    "references": [
      {
        "title": "Horizon Instability of Extremal Black Holes (arXiv 1206.6598v2)",
        "url": "https://arxiv.org/pdf/1206.6598v2",
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