AI 中文总结
研究太阳克尔场引力手征反常引起年度调制的节点锁定相位，通过分析相关密度及反常关系，利用星历表确定调制相位特性，经拟合残差等得出结果，该相位可区分不同假设，有重要研究意义。
AI 中文摘要
太阳克尔场的陈 - 庞特里亚金密度${}^*RR\simeq 288\,G^{2}M_{\odot}^{2}a_{\odot}\cos\theta/c^{4}r^{7}$，提供了一个每年符号变化的奇偶性奇异曲率不变量，由太阳系中的探测器采样，并产生引力手征反常$\nabla_{\mu}j^{\mu}_{5}={}^*RR/384\pi^{2}$。沿地球轨道采样时，它关于太阳赤道平面是奇函数，所以累积手征性在平面交叉处极值。任何与该库耦合的可观测值因此每年以完全由星历表确定的相位调制：对于抑制速率耦合，余弦拟合相位为$t^{*}=158.7$天（6月7 - 8日）；对于增强速率耦合，为$t^{*}=341.4$天（12月7 - 8日），具有可计算的长期漂移率$+0.014$天/年，严格的能量独立性，$3.75\%$的锁相半年谐波，且无会合周期（27天）或太阳周期（11年）分量。耦合的符号和大小未作预测，但相位可预测。对DAMA/LIBRA - phase2残差的单振幅拟合选择了抑制分支，并描述了观测到的调制以及标准晕暗物质余弦（$\Delta\chi^{2}=1.8$）。已发表的最精确相位，来自3.40吨·年的完整曝光，$t^{*}=153.5\pm3.8$天，与晕值相差$0.3\sigma$，与节点锁定值相差$1.4\sigma$：两种假设之间6.2天的分离低于当前分辨率。与晕相位不同，节点锁定相位不允许天体物理调整，所以在两天水平的相位计量以及对其能量独立性的测试可区分这两种假设。
英文摘要
The leading parity-odd mass--spin curvature invariant of the solar exterior, $P_{\odot}\equiv{}^{*}\!R\,R\simeq 288\,G^{2}M_{\odot}^{2}a_{\odot}\cosθ/c^{4}r^{7}$, changes sign when the Earth crosses the solar equatorial plane and acts as the geometric source of the gravitational chiral anomaly. We study two minimal phenomenological responses to this structure: a long-memory reservoir $Q\propto\int(P_{\odot}-\langle P_{\odot}\rangle)\,dt$ and the local worldline derivative $D=u^μ\nabla_μP_{\odot}$. Both have an annual Fourier phase fixed by ephemerides, $t^{*}=158.7$~d (June 7--8) or the opposite branch $t^{*}=341.4$~d, with a calculable secular drift of $+0.014$~d\,yr$^{-1}$ and an energy-independent geometric input phase, while predicting different semiannual fractions, $3.75\%$ and $15\%$, respectively. The response amplitudes and their microscopic origin are not predicted; the phase is. Single-amplitude fits to the digitized DAMA/LIBRA--phase2 1--3~keV residuals give $χ^{2}/\mathrm{dof}=62.7/51$ for the reservoir and $63.6/51$ for the derivative, against $60.9/51$ for the standard-halo cosine. The most precise published phase, $t^{*}=153.5\pm3.8$~d, lies $0.3σ$ from the halo value and $1.4σ$ from the node-locked one; phase metrology at the two-day level ($\simeq3σ$), together with the phase-locked semiannual component, discriminates between the two clocks.
Comments4 pages, 2 figures
