Cosmic Rotational Dependency: A Hypothesized Gravitomagnetic Driver for the Secular Stability of Earth's Axial Spin

We propose the Cosmic Rotational Dependency (CRD) hypothesis, positing that Earth's axial rotation is sustained against secular tidal dissipation through a gravitomagnetic torque arising from the Sun's alpha-Omega dynamo. The standard Lense-Thirring precession, driven by the solar angular momentum J = 1.90 x 10^41 kg m^2 s^-1, yields a torque tau ~ 1.97 x 10^14 N m, insufficient by a factor of ~244 to counter the observed tidal torque tau = -4.80 x 10^16 N m. We hypothesize an amplification via Einstein-Maxwell coupling in the solar interior's coherent magnetic fields (B_phi ~ 10^4--10^5 G toroidal, B_p ~ 10^2--10^3 G poloidal), parameterized by beta = 540 (+85/-70) (95% HDI). This yields torque balance with modulated residuals (Delta LOD ~ 0.15 ms over 22-yr Hale cycles). Reproducible simulations confirm near-cancellation over Gyr timescales. Bayesian model comparison yields log K = 1.85 +/- 0.12 favoring CRD. Falsification tests include absence of predicted LOD periodicity or beta < 100 from LARES-2/LISA. Supported by GRMHD analogies and solar gravitomagnetism constraints, CRD offers a testable resolution to planetary rotational longevity.我们提出了宇宙旋转依赖性（Cosmic Rotational Dependency, CRD）假说，该假说指出，地球的自转轴自转可通过源自太阳α-Ω发电机（alpha-Omega dynamo）的引力磁力矩（gravitomagnetic torque），对抗长期潮汐耗散而得以维持。由太阳角动量J = 1.90×10^41 kg·m²·s^-1驱动的标准兰斯-蒂林进动（Lense-Thirring precession）所产生的力矩τ~1.97×10^14 N·m，其强度较抵消观测到的潮汐力矩τ = -4.80×10^16 N·m所需的力矩弱约244倍。我们提出通过太阳内部相干磁场（环向磁场B_φ~10^4--10^5 G，极向磁场B_p~10^2--10^3 G）中的爱因斯坦-麦克斯韦耦合（Einstein-Maxwell coupling）实现力矩放大，该机制通过参数β = 540（+85/-70，95%最高后验密度区间，95% HDI）进行参数化。该机制可实现力矩平衡，并产生调制后的残差信号：在22年海尔周期（Hale cycles）内，日长变化量ΔLOD~0.15 ms。可重复的模拟结果证实，该机制在吉年（Gyr）时间尺度上可实现近乎完全的力矩抵消。贝叶斯模型比较（Bayesian model comparison）得到对数贝叶斯因子log K = 1.85±0.12，支持CRD假说。相关证伪检验（falsification tests）包括：未观测到预测的日长周期性，或由LARES-2/激光干涉空间天线（LISA）观测得到β<100的结果。CRD假说得到广义相对论磁流体动力学（General Relativistic Magnetohydrodynamics, GRMHD）类比研究与太阳引力磁约束的支持，为行星旋转寿命问题提供了可检验的解决方案。