Modern western political thought revolves around globality, focusing on the partitioning and the connecting up of the earth’s surface. But climate change and the Anthropocene thesis raise pressing questions about human interchange with the geological and temporal depths of the earth. Drawing on contemporary earth science and the geophilosophy of Deleuze and Guattari, this article explores how geological strata are emerging as provocations for political issue formation. The first section reviews the emergence – and eventual turn away from – concern with `revolutions of the earth’ during the 18-19thC discovery of `geohistory’. The second section looks at the subterranean world both as an object of `downward’ looking territorial imperatives and as the ultimate power source of all socio-political life. The third section weighs up the prospects of `earth system governance’. The paper rounds up with some general thoughts about the possibilities of`negotiating strata’ in more generative and judicious ways.