Flip the surface · the tangent is the weak field · stuff falls into the u

The basin.

Read the gap as a potential and the curvature surface becomes a well. The flat floor is the tangent — the weak-field zone where the lens reads true. The walls are the curvature. Drop a state anywhere and it falls in: off-distribution points get pulled toward the fit point. Click the well to drop one. Drag to orbit.

LIT — the well shape (measured gap = κr², a real u) SPEC — the "falling" is illustrative gradient flow, not the model's own dynamics; the attractor reading is the ignition hypothesis

click the well to drop a state · drag = orbit · scroll = zoom

the picture: '−' on a 'u'. the tangent '−' is the flat weak-field floor (fit point, lens exact, gradient ≈ 0). the 'u' walls are the curvature — the gap the lens can't see. the trust radius is how wide the flat floor stays before the walls climb.
stuff falls in: a state dropped off-center rolls down the real gap-field gradient toward the weak-field floor. this is the same shape as an ignition basin — a committed attractor the representation is pulled into. (the rolling is illustrative; the well is measured.)
honest: the real field is bumpier than a perfect parabola, so states settle in the floor region, not always dead center — that's the true data, not a clean idealization. real WebGL, offline, fails loud if no GL context.