Deep Spectrum Contagion in the Lorentzian Kernel: Spike-Dominated Top-k Eigenpackets at ε = 0.70 on Twisted Boundary Grids (Paper 54 in the Non-Holomorphic Fractal Series)

Paper 54 in the Non-Holomorphic Fractal Series. Paper 53 showed that, on the twisted Bird-map boundary grid with WBA kernel, the leading eigenvector at N ∈ {8192, 16384} is a literal single-cell delta spike along the coarse band ε ∈ {0.70–0.74}, while the second eigenvector forms an ultra-high-frequency wavepacket with absolute mass collapsing to kₙ₀(2) = 2 cells near the spike centre. Paper 54 tests whether this dark-matter geometry is kernel-independent by switching to the Lorentzian kernel at ε = 0.70 and extracting the top ten eigenpairs at N ∈ {8192, 16384}. Across all ten tiers and both grid sizes, the Lorentzian CSVs show spike-dominated geometry: kₙ₀(j) ∈ {1, 2, 6} and top1pct = 1.000000 for every (j, N). There is no fat-support tier in the top ten eigenpairs. The Lorentzian stable kernel shares the same ultra-localised deep-spectrum geometry as the WBA B2 kernel on the twisted boundary grid; the dark-matter phenomenon is kernel-independent at ε = 0.70.