The Kuramoto model on the Sierpinski Gasket

We could not retrieve or search the uploaded PDF via the file_search tool, so a point-by-point comparison against the paper’s text is not possible. Independently auditing the candidate (model) solution shows a largely sound strategy (small-angle convexity, quadratic–XY equivalence, constrained sectors, and Mosco convergence), but it contains at least one substantive gap: it identifies, at each finite level n, the quadratic-energy minimizer within a fixed degree sector with the restriction of the continuum harmonic lift u*, which is not justified and is generally false without an argument that the discrete constrained minimizer equals that restriction. There is also a minor omission of a (2π)^2 factor in the displayed Hessian formula. Because we cannot verify the paper’s proof and the model’s proof has a nontrivial gap, we judge both as incomplete.