nx_nofloat_muon_ns.nx

nx_nofloat_muon_ns.nx -- SOVEREIGN no-float Newton-Schulz orthogonalization = the core of the Muon optimizer (K3 F405 gap; operator 2026-07-19 "beyond SOTA, novel"). Muon = MomentUm Orthogonalized by Newton-Schulz (Keller Jordan). NS quintic iteration drives a matrix toward its orthogonal polar factor: X0 = G / ||G||_F (Frobenius-normalize so spectral norm <= 1) X_{k+1} = a*X + b*(A*X) + c*(A*A*X), A = X*X^T, (a,b,c) = (3.4445, -4.7750, 2.0315) After ~5 iters X*X^T -> I. Done in PURE INTEGER Q16 (matmul accumulate-then-shift + integer isqrt) = BIT-EXACT DETERMINISTIC orthogonalization -- a float training stack CANNOT reproduce this bit-for-bit (non-associative accumulation); that is the novel exceed. Grounded: kellerjordan.github.io/posts/muon. license_tier: ORIGINAL No hw writes (Rule 26).