{
  "abstract": "The Yamagishi Patch within Emergent Gravity: Reading G=4π as the Elastic Constant of Spacetime — The Umbrella over the Thermodynamic Arc (Papers 62, 65, 72, 73).\n\nIs gravity fundamental, or emergent, a coarse-grained, collective description like the elasticity of a solid or the hydrodynamics of a fluid? The emergent/thermodynamic-gravity programme argues the latter: Sakharov (1967) showed the Einstein–Hilbert term can be INDUCED by matter vacuum fluctuations, so G is not fundamental but an induced elastic modulus of spacetime; Jacobson (1995) derived the Einstein equations as an equation of state; Padmanabhan and Verlinde read gravity as equipartition and entropy. This paper PLACES the Yamagishi system in that (established, non-string) family. It reads G=4π (Paper 35, the \"defrosting\" of G) as the elastic constant of an emergent spacetime (the coupling 1/(16πG) being the rigidity of spacetime) rather than a fundamental input. It then exhibits the system's thermodynamic arc under one umbrella: Λ as an integration constant (Papers 62, 72), horizon entropy 1/4 as equipartition (Paper 73), the causal-sphere entropy on a Jacobson horizon (Paper 65) are one stance applied several times, NOT four separate solutions. IMPORTANT: this is a positioning (\"address registration\"), not a proof that gravity is emergent (a debated programme), not a derivation of G, and not a quantisation of gravity. The frame houses the system's constants without melting their distinct roots (Papers 48/58).\n\nA note on the aim of this work. This is a structural interpretation (a placement of the system within an established, non-string research programme), not a new physical law and not a proof that gravity is emergent. Nothing here is intended to contradict existing results.\n\nOn the making of this work: The ideas and content of this work stem from the author's own considerations. Assistance from an AI (a large language model) was used for structuring, English translation, and checking the algebra. Any remaining errors or misinterpretations are solely the author's. Feedback and corrections are sincerely appreciated.\n\n-----\n\n創発重力の中の山岸パッチ ── G=4π を時空の弾性定数として読む ── 熱力学アーク(論文62・65・72・73)の傘。\n\n重力は基礎的か、それとも創発的、固体の弾性や流体の流体力学のような粗視化された集団的記述か。創発/熱力学的重力プログラムは後者を論じる:Sakharov(1967)はアインシュタイン--ヒルベルト項が物質の真空揺らぎで誘導されうる、ゆえに G が基礎的でなく時空の誘導弾性率であることを示した;Jacobson(1995)はアインシュタイン方程式を状態方程式として導き;Padmanabhan と Verlinde は重力を等分配とエントロピーとして読んだ。本稿は山岸体系をこの(確立された非弦の)一族に置く。G=4π(論文35、G の「解凍」)を創発する時空の弾性定数(結合 1/(16πG) が時空の剛性)として読む、基礎的入力としてでなく。次に体系の熱力学アークを一つの傘の下に示す:積分定数としての Λ(論文62・72)、地平線エントロピー 1/4 の等分配(論文73)、Jacobson 地平線上の因果球エントロピー(論文65)は、一つの態度を数回適用したもので、4つの別々の解決ではない。重要:これは位置づけ(住所登録)であって、重力が創発的であるという証明でも、G の導出でも、重力の量子化でもない。枠組みは体系の定数を、その別根を融かすことなく収容する(論文48/58)。\n\n本稿の位置づけ。本稿は体系を確立された非弦の研究プログラムの中に置く構造的解釈であり、新たな物理法則でも、重力が創発的であるという証明でもありません。既存の結果と矛盾する意図はありません。\n\n作成にあたって:本稿の着想と内容は、著者自身の考察に基づくものです。文章の構成整理や英訳、数式の確認には AI(大規模言語モデル)の助力を得ました。最終的な内容の解釈や誤りがあれば、それらはすべて著者の責に帰します。お気づきの点があれば、ご教示いただければ幸いです。",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Yuuki YAMAGISHI",
      "orcid": "0009-0006-8587-3450"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/019f9r0kv67ts.bib",
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  "doi": "10.5281/zenodo.23546418",
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  "licence_label": "CC BY 4.0",
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  "pdf_url": "https://zenodo.org/api/records/23546418/files/yamagishi_74_emergent_gravity_place_20261022_jp.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/019f9r0kv67ts.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:21Z",
      "native_id": "23546418",
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  "subjects": [],
  "title": "The Yamagishi Patch within Emergent Gravity ── Reading G=4π as the Elastic Constant of Spacetime ── The Umbrella over the Thermodynamic Arc ── [Paper 74]",
  "title_text": "The Yamagishi Patch within Emergent Gravity ── Reading G=4π as the Elastic Constant of Spacetime ── The Umbrella over the Thermodynamic Arc ── [Paper 74]",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:21Z",
  "url": "https://research.draconitic.com/paper/019f9r0kv67ts",
  "venue": "Zenodo",
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}