Tetrahedral EM
Field Control
Define a target field behavior, solve for control currents, inspect the resulting field, and compare target to achieved output. Every result carries machine-verifiable provenance.
Exact Control Basis
The Hodge decomposition on K4 gives an exact orthogonal split of edge currents into cycle and cut components. The identity MTG = 0 is a graph property, not an approximation.
Explicit Field Model
Every run states its geometry, field model, control variables, and what is not included. No hidden assumptions.
Reproducible Artifacts
Each result carries a claim class, frozen-core digest, solver version, and numerical tolerances. Self-describing JSON you can inspect and verify.
Target → Solve → Inspect
Set a target field at the centroid. The engine solves for edge currents. Compare the achieved field against the target and examine the residual.