---
{
  "path": "/open-problems/master-equation",
  "title": "纵横场统一动力学母方程",
  "category": "开放问题",
  "summary": "局部双场母作用量、双方变分、互易源和能量配方已经建立；书稿进一步给出独立标架拉伸的引力远场扩展、耦合真空谱及尺度模型的解析半径。因此任务是使这些已有动力学成分联合闭合，不是从零寻找一条未写出的母方程。",
  "related": [
    "/theory/space-dynamics/master-equation",
    "/collaborate/how-to-contribute",
    "/ai/build-your-own",
    "/open-problems/space-dynamics/unified-dynamics"
  ],
  "id": "OP-003",
  "template": "problem",
  "version": "1.1",
  "updated": "2026-10-24",
  "canonical": false,
  "source_tier": "website-guide",
  "depends_on": [],
  "open_problems": [],
  "equations": [],
  "sources": [
    {
      "label": "最终合订稿——实际采用范围见本页来源详情",
      "kind": "final-combined-manuscript",
      "url": "/downloads/ASD_Final_Manuscript_Source_Manifest.json"
    },
    {
      "label": "ASD 建站蓝图与页面模板（用户提供）",
      "kind": "supplied-blueprint"
    }
  ],
  "problem": {
    "expertise": [
      "连续介质",
      "变分法"
    ],
    "difficulty": "高",
    "missing_result": "选定完整变量、对称性、边界与微观参数，从一个作用量同时检验反馈后的纵横传播、局域物质解、长程引力源和运动族。局部密度响应与独立拉伸场不能当成同一个变量；序参量反馈后的波速需重新匹配。",
    "deliverable": "交付一个明确截断模型的完整变分、守恒量、真空谱和参数域；逐项给出与静态远场、稳定局域解及伴随场包络的对应，并记录不能同时满足的条件。",
    "current_state": "局部双场母作用量、双方变分、互易源和能量配方已经建立；书稿进一步给出独立标架拉伸的引力远场扩展、耦合真空谱及尺度模型的解析半径。因此任务是使这些已有动力学成分联合闭合，不是从零寻找一条未写出的母方程。"
  },
  "theory_status": "OPEN",
  "evidence_status": "UNTESTED",
  "title_en": "Unified spatial dynamics",
  "locale": "zh",
  "translation_path": "/en/open-problems/master-equation",
  "section_anchors": [
    "current-results",
    "remaining-work",
    "next-deliverable",
    "scope-and-links"
  ],
  "legacy_anchors": {
    "s0": "current-results",
    "s1": "current-results",
    "s2": "remaining-work",
    "s3": "next-deliverable",
    "s4": "scope-and-links",
    "s5": "scope-and-links",
    "s6": "scope-and-links"
  },
  "outline": [
    "已经得到的结果",
    "仍需完成的研究",
    "下一份可复核成果",
    "适用范围与研究入口"
  ],
  "final_source": {
    "source_id": "ASD-BOOK-ddbade997b45",
    "chapter": "第五章",
    "reference": "第五章 §6 式（5.6.1）—（5.6.30）",
    "locators": [
      "p2222",
      "p2232",
      "p2235",
      "p2244",
      "p2254",
      "p2262",
      "p2281",
      "p2300"
    ],
    "adopted_scope": "已得结果、继续研究任务与下一份交付；保留原问题 ID、优先级及状态。",
    "conditions": [
      "互易变分、能量下界和径向驻点是不同的已得结果；它们都不单独完成粒子谱、非径向稳定性或全部测量响应。"
    ],
    "unresolved": [],
    "migration_status": "reviewed",
    "manuscript_sha256": "ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e",
    "source_manifest": "final-manuscript-source-manifest.json",
    "body_review": "updated"
  },
  "previous_source": {
    "sources": [
      {
        "label": "ASD 建站蓝图与页面模板（用户提供）",
        "kind": "supplied-blueprint"
      }
    ]
  },
  "source_chapter": "第五章",
  "source_reference": "第五章 §6 式（5.6.1）—（5.6.30）",
  "source_version": "ASD-BOOK-ddbade997b45",
  "source_sha256": "dace8ff491b4e4ae8a59b2b98e2a6c9c10e689079021ce0bc117985baba68e86",
  "source_kind": "manifest",
  "source_records": [
    {
      "id": "ASD-BOOK-ddbade997b45",
      "title": "各向异性空间动力学（最终合订稿）",
      "filename": "各向异性空间动力学.docx",
      "format": "docx",
      "size_bytes": 503564,
      "sha256": "ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e"
    }
  ],
  "source_manifest": "final-manuscript-source-manifest.json",
  "source_manifest_url": "/downloads/ASD_Final_Manuscript_Source_Manifest.json"
}
---
## 已经得到的结果

局部双场母作用量、双方变分、互易源和能量配方已经建立；书稿进一步给出独立标架拉伸的引力远场扩展、耦合真空谱及尺度模型的解析半径。因此任务是使这些已有动力学成分联合闭合，不是从零寻找一条未写出的母方程。

## 仍需完成的研究

选定完整变量、对称性、边界与微观参数，从一个作用量同时检验反馈后的纵横传播、局域物质解、长程引力源和运动族。局部密度响应与独立拉伸场不能当成同一个变量；序参量反馈后的波速需重新匹配。

## 下一份可复核成果

交付一个明确截断模型的完整变分、守恒量、真空谱和参数域；逐项给出与静态远场、稳定局域解及伴随场包络的对应，并记录不能同时满足的条件。

## 适用范围与研究入口

互易变分、能量下界和径向驻点是不同的已得结果；它们都不单独完成粒子谱、非径向稳定性或全部测量响应。

[master equation](/theory/space-dynamics/master-equation) · [unified dynamics](/open-problems/space-dynamics/unified-dynamics) · [longitudinal transverse coupling](/theory/space-dynamics/longitudinal-transverse-coupling) · [how to contribute](/collaborate/how-to-contribute) · [build your own](/ai/build-your-own)