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  "title": "生成速率—完成語義—認識邊界系列",
  "title_en": "Generation Rate, Completion Semantics, and Epistemic Boundaries",
  "short_title": "生成速率系列",
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    {
      "name": "Neo.K",
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      "title": "內稟速率的認識論極限：從絕對速率到關係速率類",
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      "title": "三元湧動的速率重構：速率不是第四元",
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      "title": "基底理論何以跨域衍生：類構、認知投影與理論實現的判別框架",
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    "declaration": "本系列從內稟速率的認識論極限出發，依序建立虛擬錨點重整化、0.999...的生成語義重構、USEG/USRT/GLC/GCC 四概念的形式定義、三元湧動速率的自我修正、P-NP 四層結構映射，最終在第七篇提出跨域衍生的判別框架並明確宣告系列完成。",
    "stop_reason": "第七篇本文明確陳述「生成速率—完成語義—認識邊界」七篇系列完成，並指出系列本身不再橫向擴張，「差合化」等相關議題留給獨立的、尚未開始的 Foundation Refactoring 計畫。",
    "unresolved_gaps": [],
    "next_actions": [],
    "handoff_required_tasks": [],
    "stewardship": "第三篇原始檔名含 \\ldots 的 LaTeX 片段（Windows 檔名不可含反斜線，原始匯出時被消毒為 -ldots），若不修正會導致發布標題直接顯示破損字串「$0.999-ldots$」；已改名為使用純省略號的檔名再發布。全 7 篇 + 1 篇關聯前導論文皆核對零數學/LaTeX 損壞，僅需既有的行內 $ 相鄰標點空格修正（CJK 標點/連字號緊貼 $ 導致不渲染，已透過 normalize_math.py 的 pad_inline_math() 統一修正 38 處）。第五篇中 \\\\[2mm]/\\\\[4mm] 為合法 LaTeX array 換行間距語法（非損毀的顯示數學分隔符），核對後確認不需改動。",
    "cross_references": [
      {
        "id": "lm-002407",
        "relation": "unrelated_namesake",
        "note": "同日稍早發布的〈P-NP 的量詞張力重構：GLC、GCC、USRT 與 USEG 作為全域證明接口〉（全域量詞—證明張力—研究路由系列 III）對 GLC/GCC/USRT/USEG 四個縮寫給出了不同的定義（量詞位置證明接口 vs. 本系列的完成規格/速率轉換/有效生成層），兩系列互不引用對方，屬於同一天內獨立產生的命名巧合，非抄襲或重複——已在此標註以避免未來混淆。"
      },
      {
        "id": "lm-001393",
        "relation": "independently_convergent",
        "note": "第三篇與已發布〈0.999判定域：表示序列極限與完備化中的多層等號〉共享同一核心謎題（0.999...=1），但透過不同裝置處理（Eq(x,y|D,I,E) 值域/詮釋/等價三元組 vs. 本篇的生成/完成算子框架），第三篇的速率理論角度為新增視角，非重複。"
      },
      {
        "id": "lm-001269",
        "relation": "extends",
        "note": "第五篇明確修正並收斂已發布〈三元湧動論〉（f=c⁵/ħG~10⁴³Hz、「終極統一」／「範式終結」宣稱），以更審慎、可證偽導向的形式重新處理同一構造，屬於作者自我修正的譜系而非重複發表。"
      },
      {
        "id": "lm-000464",
        "relation": "extends",
        "note": "差合化的保真擴張（關聯前導論文，非本系列正式編號成員）明確延伸已發布〈差合化三位一體本體論〉（同一 Cl=⟨Δ,∪,∇⟩ 記號），為更審慎、形式化的後續處理。"
      },
      {
        "id": "lm-002497",
        "relation": "cites",
        "note": "差合化的保真擴張——本次與本系列 7 篇同批發布，但標頭以「定位」而非「系列」自陳，且第七篇本文明確指出其屬於另一個尚未開始的 Foundation Refactoring 計畫，故未列入本系列 iterations 編號，僅在此登記其存在與去向。"
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  "generated_at": "2026-09-10T13:30:06Z"
}