---
{
  "id": "OP-SD-006",
  "path": "/open-problems/space-dynamics/source-coupling",
  "title": "OP-SD-006 · 物质结构与引力源耦合",
  "title_en": "OP-SD-006 · Source Coupling",
  "category": "空间动力学",
  "summary": "局部 $sF$ 候选在光滑全空间及零远边界下给出与核同域的密度响应；独立拉伸候选允许 $1/r$ 远场，但源泛函尚未从稳定物质核求得。",
  "template": "problem",
  "version": "1.0.0",
  "updated": "2026-09-16",
  "canonical": false,
  "source_tier": "research-notes",
  "theory_status": "OPEN",
  "evidence_status": "UNTESTED",
  "locale": "zh",
  "module_key": "space-dynamics-research",
  "module_navigation": [
    {
      "path": "/theory/space-dynamics",
      "label": "总览",
      "en": "Overview"
    },
    {
      "path": "/theory/space-dynamics/degrees-of-freedom",
      "label": "自由度",
      "en": "Degrees of freedom"
    },
    {
      "path": "/theory/space-dynamics/longitudinal-field",
      "label": "纵向场",
      "en": "Longitudinal field"
    },
    {
      "path": "/theory/space-dynamics/transverse-field",
      "label": "横向场",
      "en": "Transverse field"
    },
    {
      "path": "/theory/space-dynamics/wave-propagation",
      "label": "波传播",
      "en": "Wave propagation"
    },
    {
      "path": "/theory/space-dynamics/longitudinal-waves",
      "label": "自由纵波",
      "en": "Longitudinal waves"
    },
    {
      "path": "/theory/space-dynamics/longitudinal-transverse-coupling",
      "label": "纵横耦合",
      "en": "L–T coupling"
    },
    {
      "path": "/theory/space-dynamics/continuum-dynamics",
      "label": "连续动力学",
      "en": "Continuum dynamics"
    },
    {
      "path": "/theory/space-dynamics/fcc-model",
      "label": "FCC 候选",
      "en": "FCC-like model"
    },
    {
      "path": "/theory/space-dynamics/master-equation",
      "label": "母方程前沿",
      "en": "Master equation"
    },
    {
      "path": "/tests/space-dynamics",
      "label": "实验矩阵",
      "en": "Tests"
    }
  ],
  "canonical_scope": "连续场基础；按具体结论标注状态",
  "source_chapter": "Chapter 4 / 第四章 · Chapter 5 / 第五章",
  "source_reference": "Ch. 4 §4.1; Ch. 5 §§4, 6",
  "source_version": "SD-51779505a476",
  "source_sha256": "51779505a4766d2211550c6598875bbbab0c3dac14d68dd3f2107778b05deb0b",
  "source_kind": "manifest",
  "source_records": [
    {
      "id": "CH4-9587f3c44d39",
      "title": "第四章-ASD空间本体论-出版整理稿.docx",
      "sha256": "9587f3c44d3974f44e387ed03d92691fa5473a90d7b1c9c989155adf0622849a",
      "format": "docx"
    },
    {
      "id": "CH5-ca737ec4e327",
      "title": "第五章-出版整理稿.docx",
      "sha256": "ca737ec4e327d72c5507bbc8e00295b6e56029c7583ebad8e505cdb9c68c6262",
      "format": "docx"
    }
  ],
  "source_manifest": "space-dynamics-source-manifest.json",
  "source_manifest_url": "/downloads/ASD_Space_Dynamics_Source_Manifest.json",
  "last_reviewed": "2026-09-15",
  "depends_on": [
    "/theory/space-dynamics/longitudinal-field",
    "/theory/space-dynamics/master-equation"
  ],
  "related": [
    "/theory/space-dynamics",
    "/open-problems/matter/mass-generation"
  ],
  "open_problems": [
    "/open-problems/space-dynamics/unified-dynamics",
    "/open-problems/space-dynamics/equal-speed",
    "/open-problems/space-dynamics/stable-topology",
    "/open-problems/space-dynamics/continuum-microscopic",
    "/open-problems/space-dynamics/longitudinal-wave-detection"
  ],
  "equations": [
    "sd-static-density",
    "sd-stretch-farfield",
    "sd-mass-match"
  ],
  "sources": [
    {
      "label": "CH4-9587f3c44d39 · 第四章-ASD空间本体论-出版整理稿.docx",
      "kind": "supplied-manuscript"
    },
    {
      "label": "CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
      "kind": "supplied-manuscript"
    }
  ],
  "outline": [
    "已有基础",
    "需要完成的工作",
    "可审查的交付物",
    "边界与依赖",
    "Matter 研究衔接"
  ],
  "seo_title": "OP-SD-006 · 物质结构与引力源耦合 | 各向异性空间动力学",
  "canonical_url": "https://asd-physics.org/open-problems/space-dynamics/source-coupling",
  "translation_path": "/en/open-problems/space-dynamics/source-coupling",
  "mathematical_review": "INCOMPLETE",
  "evidence_note": "约束、一致性和提案分别记录；本轮未新增实验拟合。",
  "equation": "sd-static-density",
  "problem": {
    "expertise": [
      "Field sources",
      "Nonlinear solutions",
      "Gravitational limits"
    ],
    "difficulty": "Open research",
    "missing_result": "稳定物质核到正确引力远场的完整解链；从同一解计算能量、主动／被动引力质量与惯性，并说明系数如何由独立输入确定。",
    "deliverable": "稳定物质核到正确引力远场的完整解链；从同一解计算能量、主动／被动引力质量与惯性，并说明系数如何由独立输入确定。",
    "current_state": "局部 $sF$ 候选在光滑全空间及零远边界下给出与核同域的密度响应；独立拉伸候选允许 $1/r$ 远场，但源泛函尚未从稳定物质核求得。"
  }
}
---
## 已有基础

局部 $sF$ 候选在光滑全空间及零远边界下给出与核同域的密度响应；独立拉伸候选允许 $1/r$ 远场，但源泛函尚未从稳定物质核求得。

<Equation name="sd-static-density" />

<Equation name="sd-stretch-farfield" />

<Equation name="sd-mass-match" />

## 需要完成的工作

先明确观测引力拉伸、位移散度和独立标量的映射及能量，避免重复计数。由同一有限能量物质解求源泛函、反作用、主动质量、惯性和外场响应。检查远场的符号、归一化、边界与普适性，及运动情况下的守恒。

## 可审查的交付物

稳定物质核到正确引力远场的完整解链；从同一解计算能量、主动／被动引力质量与惯性，并说明系数如何由独立输入确定。

## 边界与依赖

位移尾场不能直接等同于密度 $1/r$。强制此类密度尾场可使相应能量发散；用已知 $G$ 标定归一化也不是推导 $G$。

[纵向场](/theory/space-dynamics/longitudinal-field) · [母方程前沿](/theory/space-dynamics/master-equation)



## Matter 研究衔接

[OP-MAT-003：质量生成](/open-problems/matter/mass-generation)在同一解上分别计算能量、惯性、主动与被动引力质量。

<CanonicalSource />