“…The Ricci flow has provided many far-reaching insights into long-standing problems in topology and geometry [1,2]. Recent works [8,9,10,11,12,13,14,15] have shed light on applications of conformal symmetry and the Ricci flow to foundational issues in quantum mechanics. In this contribution we have established a 1-to-1 correspondence between conformally flat metrics on configuration space, and quantum mechanics on that same space.…”