Climate Anxiety as Anticipatory Biospheric Displacement: Eco-Distress as D(ξ_future), Wrong Attractor Architecture, and the Ground State of Ecological Presence

We apply the Displacement Framework to climate anxiety and eco-distress, formalizing climate anxiety as anticipatory displacement: D(ξ_climate) = the anticipated future displacement from ecological ground state S°, felt in the present. Unlike most anxiety organized around personal threat, climate anxiety tracks collective and species-level displacement of a planetary ground state.

Seven formal propositions are derived covering: solastalgia as present-tense ecological displacement without physical relocation, three distinct eco-distress structures (grief as past S° loss, anxiety as future S° threat, depression as gradient collapse), eco-paralysis as wrong attractor that provides relief from acute D(ξ_climate) by detaching from the action that is the return path, climate denial as wrong attractor that reduces D(ξ_climate) to zero by eliminating the displacement signal, the action paradox (individual action insufficient, collective action impotent alone), climate justice as differential displacement theorem (populations contributing least bearing highest Φ_climate), and active hope as gradient orientation toward return path.

Psychological interventions are formalized as displacement-cost-to-action conversion mechanisms.