Precision Collapse and Observable Disintegration of Deep Ulam Eigenvalues at the B2 Spray Point for WBA and Lorentzian Kernels (Paper 57 in the Non-Holomorphic Fractal Series)

Paper 57 in the Non-Holomorphic Fractal Series. Building on Paper 56, which established conditioning proxies κ_j ~ 10¹⁶–10¹⁸ for deep tiers j ≥ 3 despite spike-dominated right eigenvectors, this paper attacks the folklore of deep eigenvalue stability from two independent axes. Axis 1 (Precision Collapse): for each of the 40 eigenpairs in the precision scan (ε = 0.70, K ∈ {WBA, Lorentzian}, N ∈ {8192, 16384}, j = 1, …, 10), we estimate the Float64 eigenvalue drift δ_j = κ_j · ε_mach and compare it to |λ_j|. On the executed grids, 32 of 40 tiers have predicted drift δ_j > |λ_j|, meaning the deep eigenvalues are larger than one machine-epsilon perturbation ball in Float64 arithmetic. Axis 2 (Observable…