SAME MAGNITUDE

One 128 by 128 real scalar field. Discrete Fourier transform, unnormalized forward, inverse scaled by 1 over N squared. Three reconstructions share one magnitude array A(k) taken from the source field. Source keeps source phase. Borrowed takes phase from a second deterministic house field, Hermitian-completed. Scrambled uses frozen seed 20260903 with conjugate-pair phases. DC is the source DC in every claim. Self-conjugate Nyquist bins stay real. Display uses one global affine map from the extrema of the three finished real fields; no per-state normalization. Finite floating-point FFT error is measured and shown as |F| Δ and imaginary residual. Phase interpolation between claims holds A(k) fixed and preserves Hermitian symmetry; Nyquist signs snap at the midpoint. Not an image editor. No filtering, no upload, no re-seed.