---
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"title": "OP-SD-001 · 纵横场统一动力学",
"title_en": "OP-SD-001 · Unified Longitudinal–Transverse Dynamics",
"category": "空间动力学",
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{
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{
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},
{
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"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"
},
{
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"/open-problems/space-dynamics/source-coupling"
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"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"
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"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-coupling",
"problem": {
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"difficulty": "Open research",
"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。",
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"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。"
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---
## 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) · [longitudinal transverse coupling](/theory/space-dynamics/longitudinal-transverse-coupling) · [space dynamics](/theory/space-dynamics)