---
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---
## 从几何到真正频率读数
采用工作表定义 $y(t)=\delta(f_1/f_2)/(f_1/f_2)$。上方 $Q(t)=(\hat n\cdot\hat b)^2-1/3$ 仅是对称性允许的一种规划基函数，不是书稿独立导出的钟响应。若选用 $y=AQ+\sum_j a_jX_j$，则振幅 $A$、背景方向以及各干扰项必须有物理来源与独立校准。更一般的方向响应可能需要其他谐波或张量；不能从基函数选择反推 ASD 已作出该预言。
恒星日取规划常数 86164.0905 s；实际数据需明确 UTC/UT1、经度与时间尺度。图示水平轴方位角从北向东，赤经/赤纬表示用户指定的背景轴，起点使用地方恒星时角。钟种选择记录跃迁名称，不自动产生不同的计算系数。
## 必需的装置响应
1. 给出原子内部结构和场耦合下的跃迁能级差，明确尺度变化是否影响不同能级。
2. 计算量子化轴、偏振、参考钟和频率梳/传输链的响应。
3. 使用完整测量周期与死时间求读出平均，不把瞬时场直接当计数频率。
4. 用同一参数与协议计算比较模型；检验 ASD 项是否与普通方向系统误差退化。
这些是上游输入；它们尚不能替代指定跃迁的完整频移计算。[OP-TIME-01](/open-problems/clock-response) 负责这一缺口。
## 误差预算与拒绝域
一般合成应使用 $u^2=\mathbf J C\mathbf J^T$。工作台的平方和仅对应输入独立、单位相同且已转换为标准不确定度的特例。真实预算还需要 Zeeman、黑体、Stark、二阶 Doppler、重力高差、伺服偏置、传输延迟与恒星日/太阳日混叠。示例合成值不是测量能力认证，也不是所需精度。
先固定非零预测、干扰参数域、采样设计与似然，再定义排除条件。如果 $A$ 完全自由且允许零，空结果只限制 $A$，不能排除 LVE。
## 数据、来源与复现
[Wolf 等的原子钟方向检验](https://arxiv.org/abs/hep-ph/0601024) 提供比较研究入口；[NIST/BACON 钟比工作](https://www.nist.gov/publications/frequency-ratio-measurements-18-digit-accuracy-using-network-optical-clocks) 是频率比测量参考。它们不是本站已完成的 ASD 拟合。原始数据未载入；模板包括频率比、轴角度、环境量和协方差文件约定。