Creation of centroidal equilibria under curvature abrasion, and a moment obstruction to stochastic monotonicity

Unrefereed mathematical candidate. Smooth globally convex centroidal family with 22 to 26 equilibria under forward curvature flow for sufficiently small positive parameter; separate moment-to-sign counterexample. No certified numerical parameter threshold or physically sampled rock ensemble. Supplied review actioned; internal finite exact replay and written analytic arguments, not external peer review, formal verification or independent reproduction. Shared evidence archive includes the companion manuscript. Original prose/data CC0-1.0; original code MIT.