Renormalized Wolfram model exhibiting non-relativistic quantum behavior

The paper correctly states the renormalized update rules and the target Schrödinger solution with H = σx, and it claims the normalized templates converge to that solution as K→∞. However, it does not explicitly derive the linear recursion |T_{k+1}⟩ = (K I − iH)|T_k⟩, nor does it clearly define the normalization (a likely misprint appears in the limit expression). By contrast, the model’s solution rigorously establishes the operator recursion, the normalization U_k = K^{-k}T_k, evaluates powers via the projectors of H, and takes the limit cleanly. Hence the intended result is valid, but the paper’s proof sketch is incomplete while the model’s solution is correct and complete.