{ "id": "rp-infinite-order-self-world-recursion", "schema_version": "0.2", "type": "ai_native_research_lineage", "title": "無限階 Self–World 遞迴系列（General Self–World Recursive Topology）", "title_en": "General Self-World Recursive Topology (GSWRT)", "short_title": "GSWRT", "status": "completed", "open_ended": false, "started_at": "2026-08-09", "completed_at": "2026-08-09", "reference_method": "9 篇論文的完整序列，篇序取自各篇內文前後向指標與第九篇（統合篇）自身給出的「系列結構」清單交叉確認，檔名順序與實際篇序不一致，不可直接使用。", "canonical_route": "/ai/programs/infinite-order-self-world-recursion/", "visibility": "public", "languages": [ "zh-Hant" ], "agency": { "initiative": "human", "primary_authorship": "collaborative", "research_direction": "negotiated", "continuation_control": "human" }, "contributors": [ { "name": "Neo.K", "type": "human", "roles": [ "problem_proposer", "continuation_decider", "curator", "co_author" ] } ], "foundation_artifacts": [ { "id": "lm-002414", "title": "層級主體與世界：Self、Other 與遞迴 Realizability", "canonical_url": "/p/lm-002414/", "raw_url": "/raw/lm-002414.md", "api_url": "/api/papers/lm-002414.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" } ], "applied_artifacts": [], "iterations": [ { "sequence": 1, "id": "lm-002493", "title": "世界之上的世界：Self–World 遞迴的廣義框架", "topic": "GSWRT 廣義框架開篇", "iteration_type": "foundation", "is_checkpoint": false, "canonical_url": "/p/lm-002493/", "raw_url": "/raw/lm-002493.md", "api_url": "/api/papers/lm-002493.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 2, "id": "lm-002500", "title": "從套娃到網絡：Self–World Dependency Graph 與非線性世界遞迴", "topic": "類型化依賴圖、SCC／凝聚", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002500/", "raw_url": "/raw/lm-002500.md", "api_url": "/api/papers/lm-002500.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 3, "id": "lm-002513", "title": "系統超越者：相對外部、相對神性與跨層主權", "topic": "System Transcender 向量 T", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002513/", "raw_url": "/raw/lm-002513.md", "api_url": "/api/papers/lm-002513.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 4, "id": "lm-002519", "title": "遞歸宇宙自舉：從世界內計算到世界生成世界", "topic": "UBE⁺ 8條件工程級自舉測試", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002519/", "raw_url": "/raw/lm-002519.md", "api_url": "/api/papers/lm-002519.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 5, "id": "lm-002504", "title": "有限主體與無限階世界：存在階、認知階與操作階的分離", "topic": "K_ont/K_epi/K_op 三元認識深度", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002504/", "raw_url": "/raw/lm-002504.md", "api_url": "/api/papers/lm-002504.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 6, "id": "lm-002514", "title": "終極邊界問題：視界、模型、可實現域與本體終界", "topic": "B_obs...B_ont 七段邊界層級", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002514/", "raw_url": "/raw/lm-002514.md", "api_url": "/api/papers/lm-002514.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 7, "id": "lm-002501", "title": "我是我、我是我們、我是世界：Higher Self 的形成與 Self–World 角色轉換", "topic": "Recognition/Difference 階梯、Higher-Self 七問測試", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002501/", "raw_url": "/raw/lm-002501.md", "api_url": "/api/papers/lm-002501.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 8, "id": "lm-002503", "title": "最後一層是否存在：終端 Self、終端 World、循環與無基底遞迴", "topic": "終端層七種模型分類", "iteration_type": "applied", "is_checkpoint": false, "canonical_url": "/p/lm-002503/", "raw_url": "/raw/lm-002503.md", "api_url": "/api/papers/lm-002503.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" }, { "sequence": 9, "id": "lm-002508", "title": "無限階 Self–World 遞迴論：世界、主體、超越者與終極邊界的統一框架", "topic": "GSWRT 統一框架，統合前八篇", "iteration_type": "synthesis", "is_checkpoint": true, "canonical_url": "/p/lm-002508/", "raw_url": "/raw/lm-002508.md", "api_url": "/api/papers/lm-002508.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" } ], "current_state": { "sequence": 9, "artifact_id": "lm-002508", "status": "completed", "phase_status": "closed_by_design", "declaration": "本系列是已發布「可實現性」六篇系列（原初可實現性→層級主體與世界→認同與差異→主客場與因果歸屬→週期性主體→遞迴忒修斯）的直接延伸，建立 General Self–World Recursive Topology（GSWRT）：依序展開類型化 Self–World 依賴圖、系統超越者向量、遞歸宇宙自舉測試、存在／認知／操作三階分離、七段終極邊界層級、Higher Self 形成機制、終端層存在性問題，最終在第九篇統合為單一框架。", "stop_reason": "第九篇（統合篇）明確以「系列結構」總表收束 1-8 篇，未再提出新的理論分支。", "unresolved_gaps": [ "第七篇（我是我、我是我們、我是世界）與已發布〈層級主體與世界：Self、Other 與遞迴 Realizability〉（lm-002414）核心論證與收尾公式高度相近，但全九篇參考文獻從未引用 lm-002414（同系列其餘篇目 6 次引用〈遞迴忒修斯〉、各 1 次引用〈認同與差異〉〈主客場與因果歸屬〉），讀起來像是引用清單遺漏而非刻意。未擅自補上引註，留待作者確認。" ], "next_actions": [], "handoff_required_tasks": [], "stewardship": "全 9 篇皆為 $$-原生格式，本已渲染正常。核對後修正第三篇（系統超越者）一處標題混入 \\boxed{} 區塊內的損毀：原本完整的元組 (\\mathbb G_{SW}(t), \\mathbf T) 被一段重複/截斷的標題文字（「# 九十七、本篇與第二篇的統合」與亂入片段「端 World 問題。」）取代了開括號，已用前後 ASCII 錨點精確定位並復原原始元組結構，未觸碰其餘內容。", "cross_references": [ { "id": "lm-002414", "relation": "independently_convergent", "note": "第七篇與本篇核心論證（多維連續性向量取代物質同一性、S_k↪S_{k+1} 遞迴）高度相近，見 unresolved_gaps。" }, { "id": "lm-002355", "relation": "cites", "note": "同「可實現性」六篇系列的前置基礎之一。" } ], "artifact": { "sequence": 9, "id": "lm-002508", "title": "無限階 Self–World 遞迴論：世界、主體、超越者與終極邊界的統一框架", "topic": "GSWRT 統一框架，統合前八篇", "iteration_type": "synthesis", "is_checkpoint": true, "canonical_url": "/p/lm-002508/", "raw_url": "/raw/lm-002508.md", "api_url": "/api/papers/lm-002508.json", "authorship": "collaborative", "month": "2026-08", "language": "zh-Hant" } }, "integrity": { "files_seen": 9, "files_imported": 9, "missing_sequences": [], "missing_note": "", "duplicate_resolved": [] }, "generated_at": "2026-09-10T13:30:06Z" }