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---
## 已经得到的结果

等连接 FCC 标量模型已有全波数余弦色散、二阶矩与长波展开。连续时间格点、完整多分量场及反馈后的纵横速度是不同检查层次。本次核对发现式（5.1.11）与随后半角式、四阶展开的系数不能全部按现有写法恒等成立，具体差异在 FCC 专题就地列出。

## 仍需完成的研究

先逐个近邻求和、展开并固定系数约定，保留原稿式号并提交差异，不静默替换。再从完整连接律求全部分支、粗粒化权重及误差阶，检验非均匀背景的投影混合和微观刷新前沿。

## 下一份可复核成果

交付可复算近邻表、动力学矩阵、式间系数核对与作者可审查的更正选项；其后才给出依赖该系数的色散图、适用范围和方向实验响应。

## 适用范围与研究入口

高对称性不替代连接动力学，二阶各向同性不证明全部波数各向同性，连续时间有限邻接不自动给出严格零响应光锥。

[fcc model](/theory/space-dynamics/fcc-model) · [wave propagation](/theory/space-dynamics/wave-propagation) · [continuum microscopic](/open-problems/space-dynamics/continuum-microscopic) · [how to contribute](/collaborate/how-to-contribute) · [build your own](/ai/build-your-own)