JP Journal · deterministic local artifact

Curl-noise ink lab

One seeded scalar potential drives every view. Inspect potential, rotated-gradient vectors, discrete divergence, or bounded ink trails. Euler and RK2 use identical starting particles and the same 90 field-evaluation budget.

Equal-work rule: Euler performs 90 one-sample steps and midpoint RK2 performs 45 two-sample steps. After a first terminal condition, the lab stops moving and drawing that particle but performs the remaining field samples at a deterministic clamped probe; receipts separate active from post-terminal diagnostic evaluations.

Truth limit: This is procedural fluid-like art, not a Navier–Stokes solver, physical simulation, or proof of continuous incompressibility. Finite differences, normalization, boundaries, and particle integration create measurable residual error.