---
{
  "id": "OP-SD-002",
  "path": "/open-problems/space-dynamics/equal-speed",
  "title": "OP-SD-002 · 共同传播速度的本构条件",
  "title_en": "OP-SD-002 · Equal Propagation Speed Condition",
  "category": "空间动力学",
  "summary": "当前共同真空速度是一项有效本构匹配。双场候选中的有序幅度反馈可改变纵向低波数速度，而横向支保持裸速度。",
  "template": "problem",
  "version": "1.0.0",
  "updated": "2026-09-15",
  "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/wave-propagation"
  ],
  "related": [
    "/theory/space-dynamics"
  ],
  "open_problems": [
    "/open-problems/space-dynamics/unified-dynamics",
    "/open-problems/space-dynamics/stable-topology",
    "/open-problems/space-dynamics/continuum-microscopic",
    "/open-problems/space-dynamics/longitudinal-wave-detection",
    "/open-problems/space-dynamics/source-coupling"
  ],
  "equations": [
    "sd-equal-speed",
    "sd-effective-speeds"
  ],
  "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"
  ],
  "seo_title": "OP-SD-002 · 共同传播速度的本构条件 | 各向异性空间动力学",
  "canonical_url": "https://asd-physics.org/open-problems/space-dynamics/equal-speed",
  "translation_path": "/en/open-problems/space-dynamics/equal-speed",
  "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-equal-speed",
  "problem": {
    "expertise": [
      "Spectral analysis",
      "Constitutive theory"
    ],
    "difficulty": "Open research",
    "missing_result": "给出 $c_L=c_T=c$ 的必要／充分条件、稳定参数域和保护机制；若不能保证等速，给出可检验的偏差及适用尺度。",
    "deliverable": "给出 $c_L=c_T=c$ 的必要／充分条件、稳定参数域和保护机制；若不能保证等速，给出可检验的偏差及适用尺度。",
    "current_state": "当前共同真空速度是一项有效本构匹配。双场候选中的有序幅度反馈可改变纵向低波数速度，而横向支保持裸速度。"
  }
}
---
## 已有基础

当前共同真空速度是一项有效本构匹配。双场候选中的有序幅度反馈可改变纵向低波数速度，而横向支保持裸速度。

<Equation name="sd-equal-speed" />

<Equation name="sd-effective-speeds" />

## 需要完成的工作

对实际真空计算全部线性化分支与混合矩阵，区分裸系数与消去内部模后的有效系数。寻找由本构结构、对称性或具体微观律保证的等速条件，并检查它是否在扰动和有效修正下保持。分别定义相速度、群速度、信号前沿与实验测得的到达时间。

## 可审查的交付物

给出 $c_L=c_T=c$ 的必要／充分条件、稳定参数域和保护机制；若不能保证等速，给出可检验的偏差及适用尺度。

## 边界与依赖

光与引力波到达速度接近不能反向证明 ASD 系数关系，更不能把张量引力波识别为自由标量纵波。

[波传播](/theory/space-dynamics/wave-propagation)

<CanonicalSource />