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

We propose the Cosmic Rotational Dependency (CRD) hypothesis, which posits that Earth's axial rotation dynamics are significantly modulated against secular tidal dissipation through a gravitomagnetic torque arising from the Sun's \( \alpha \)--\( \Omega \) dynamo. The standard Lense--Thirring precession, driven by solar angular momentum \( J_\odot = 1.90 \times 10^{41} \) kg m\( ^2 \) s\( ^{-1} \) \citep{iorio2012}, yields a torque \( \tau_{\rm LT,std} \approx 1.97 \times 10^{14} \) N m. This is historically considered insufficient to counter the observed tidal torque \( \tau_{\rm tide} = -4.80 \times 10^{16} \) N m. We hypothesize an amplification via Einstein--Maxwell coupling in the solar interior's coherent magnetic fields (\( B_\phi \sim 10^4 \)--$10^5$ G toroidal), parameterized by \( \beta = 540^{+85}_{-70} \) (95% HDI). This mechanism yields a counter-torque capable of mitigating secular decay and inducing modulated residuals (\( \Delta {\rm LOD} \sim 0.05 \) ms over 22-yr Hale cycles). Reproducible simulations demonstrate that CRD prevents runaway rotational deceleration over Gyr timescales. Bayesian model comparison yields \( \log_{10} K = 1.85 \pm 0.12 \) favoring CRD. Falsification tests include absence of predicted LOD periodicity or \( \beta < 100 \) from LARES-2/LISA. Supported by GRMHD analogies \citep{khanna1998,tajmar2006,krolik2005} and recent solar dynamo constraints \citep{vasil2024}, CRD offers a testable resolution to planetary rotational longevity.我们提出宇宙旋转依赖性（Cosmic Rotational Dependency，CRD）假说，该假说指出，太阳α-Ω发电机（α–Ω dynamo）产生的引力磁力矩，可显著调制地球自转动力学过程以对抗长期潮汐耗散。由太阳角动量$J_odot = 1.90 imes 10^{41} , ext{kg·m}^2· ext{s}^{-1}$[iorio, 2012]驱动的标准兰斯-蒂林进动（Lense–Thirring precession），其产生的力矩$ au_{ m LT,std} approx 1.97 imes 10^{14} , ext{N·m}$。历史上认为该力矩不足以抵消观测到的潮汐力矩$ au_{ m tide} = -4.80 imes 10^{16} , ext{N·m}$。我们提出通过太阳内部相干环向磁场（环向分量$B_phi sim 10^4$至$10^5$高斯）中的爱因斯坦-麦克斯韦耦合实现力矩放大，该过程的参数化形式为$eta = 540_{-70}^{+85}$（95%最高后验密度区间，Highest Posterior Density，HDI）。该机制产生的反力矩能够缓解地球自转的长期衰减，并诱发调制后的日长（Length of Day，LOD）残差（22年海尔周期内，日长变化$Delta ext{LOD} sim 0.05 , ext{ms}$）。可复现的模拟结果表明，CRD机制可防止地球自转在数十亿年（Gyr）的时间尺度上发生失控减速。贝叶斯模型比较得到的常用对数贝叶斯因子$log_{10} K = 1.85 pm 0.12$，支持CRD假说。证伪检验包括：若未观测到预测的日长周期性，或通过LARES-2/LISA任务得到$eta < 100$，则可否定该假说。本研究得到广义相对论磁流体动力学（General Relativistic Magnetohydrodynamics, GRMHD）类比研究[khanna, 1998; tajmar, 2006; krolik, 2005]以及近期太阳发电机约束结果[vasil, 2024]的支持，为行星自转寿命问题提供了可检验的解决方案。