a quantum superfluid (Gross–Pitaevskii) — walked onto by weights forged on Darcy flow
"A Darcy-network cannot evolve a quantum wavefunction."
It can. 0.34–0.40% error at every angle.
Single-step rel RMSE (interior, 64²) of alienx_gp_best.pt against the
split-step Fourier spectral solver — at five rotations it was never rotated-trained on.
The message-weight structure (even complex harmonics, invariant under θ → θ + π)
simply does not care where north is. This is cross-PDE transfer: same stencil,
same frame machinery, a different equation of physics.
"The dark field: let the network walk its own predictions."
Top row: spectral solver (12 steps of pure physics per frame).
Bottom row: AlienX — one model step per frame, then it continues from its own
previous output (the dark-field regime where small errors compound).
|ψ| field, dark necromancer colormap. The superfluid density stays coherent:
the vortex lattice the solver nucleates, the network reproduces.