The debate on climate change and migration continues to be shaped by a bias towards mobility, with movement, displacement and resettlement being treated as the primary policy horizon for adaptation. Although climate mobilities scholarship has complicated deterministic accounts of climate-induced migration, the political and ontological significance of staying, repairing and maintaining attachments has not been sufficiently explored. This article presents an alternative perspective on climate mobilities and security politics, focusing on the persistence of attachments. Engaging with the fields of science and technology studies, critical security studies and particularly the work of Bruno Latour on Gaia, the Terrestrial and Critical Zones, the article argues that attachment is not a residual state left behind by movement, but rather a generative condition that complicates the mobility-immobility dichotomy. The article introduces the Homeric concept of émpedos, or steadfastness, to conceptualise persistence beyond this dichotomy. Émpedos encompasses various forms of endurance, including steadfastness through movement, emplacement, repetition, and secure embedding in relations. Reinterpreting climate mobility through émpedos reconceptualises climate politics as a struggle over which attachments are recognised, maintained, repaired or abandoned. This shifts the focus from circulation to the contested conditions under which worlds can continue to exist on an unstable Earth.