The driving mechanisms of Earth's climate system at a multi-Myr timescale have received considerable attention since the 1980's as they are deemed to control large-amplitude climatic variations that result in severe biogeochemical disruptions, major sea-level variations, and the evolution of Earth's land- and seascapes through geological time. The commonly accepted mechanism for these changes derives from the evolution of Earth's coupled plate-mantle system. Connection between Earth's interior and external climate drivers, e.g., Milankovitch insolation forcing, has not been investigated at multi-Myr timescale, because tectonics and astronomical influences at these longer timescales have long been thought as independent pacemakers in the evolution of the Earth system.

Here we have analyzed time-series from multiple geological datasets and found common periodicities of 10 and 35 Myr. Additionally, we have highlighted the modulation in amplitude of the 10 Myr cycle band by the 35 Myr cyclicity in sedimentary sea-level data. We then demonstrate the same physical amplitude modulation relationship between these two cyclicities in astronomical (Milankovitch) variations, and establish correlation between Milankovitch and sea-level variations at these two frequency bands. The 10 and 35 Myr cycles are prominent in the geological records, suggesting either unresolved fundamental Milankovitch periodicities, or reflecting a sedimentary energy-transfer process from higher to lower Milankovitch frequencies, as argued here via amplitude modulation analysis in both astronomical and sea-level data.

Finally, we find a coherent correlation, at the 35 Myr cycle band, between Milankovitch, sea-level and geodynamic (plate subduction rate) variations, hinting at a coupling between Earth's interior and surface processes via Milankovitch paced climate. Thus, our findings point to a coupling between Milankovitch and Earth's internal forcings, at 10 to 10s of Myr. The most likely scenario that could link insolation-driven climate change to Earth's interior processes is Earth's interior feedbacks to astro-climatically driven mass changes on Earth's surface. We suggest that Earth's interior processes may drive large-amplitude sea-level changes, especially during greenhouse periods, by resonating to astro-climatically driven Earth's surface perturbations.

自 1980 年代以来，地球气候系统在多米时间尺度上的驱动机制受到了相当多的关注，因为它们被认为控制着导致严重的生物地球化学破坏、重大海平面变化和地球陆地演化的大幅度气候变化。 - 以及地质时代的海景。这些变化的普遍接受的机制源自地球耦合板块-地幔系统的演化。地球内部和外部气候驱动因素（例如米兰科维奇日照强迫）之间的联系尚未在多米尔时间尺度上进行研究，因为这些较长时间尺度上的构造和天文影响长期以来一直被认为是地球系统演化的独立起搏器。

在这里，我们分析了来自多个地质数据集的时间序列，并发现了 10 和 35 Myr 的常见周期性。此外，我们还强调了沉积海平面数据中 35 Myr 循环对 10 Myr 循环带振幅的调制。然后，我们在天文（米兰科维奇）变化中证明了这两个周期性之间相同的物理幅度调制关系，并在这两个频段建立了米兰科维奇与海平面变化之间的相关性。10 和 35 Myr 周期在地质记录中很突出，表明要么是未解决的基本米兰科维奇周期性，要么反映了从较高到较低米兰科维奇频率的沉积能量转移过程，正如本文通过天文和海平面数据中的幅度调制分析所论证的.

最后，我们在 35 Myr 周期带中发现了米兰科维奇、海平面和地球动力学（板块俯冲率）变化之间的连贯相关性，暗示通过米兰科维奇节奏气候在地球内部和地表过程之间存在耦合。因此，我们的研究结果表明米兰科维奇和地球内部强迫之间存在耦合，大约为 10 到 10 秒。最有可能将日照驱动的气候变化与地球内部过程联系起来的情景是地球内部对地球表面天体气候驱动的质量变化的反馈。我们认为，地球的内部过程可能会通过与天体气候驱动的地球表面扰动产生共振来驱动大幅海平面变化，尤其是在温室期间。