§ 3.1

Software

text

pip install tnfr                       # stable release
pip install -e ".[dev-minimal]"       # development
pip install -e ".[test-all]"          # full test suite
pip install -e ".[compute-jax]"       # JAX backend
pip install -e ".[compute-torch]"     # PyTorch backend

Core Ideas

All systems evolve via the nodal equation. From it, a complete transport and geometric structure emerges — measured by the engine, verified to machine precision, and anchored to classical, experimentally-established physics.

$∂t /∂EPI =ν f ⋅ΔNFR(t)$

Structural changes occur exclusively through 13 canonical operators (AL, EN, IL, OZ, UM, RA, SHA, VAL, NUL, THOL, ZHIR, NAV, REMESH) governed by unified grammar rules U1-U6. Each operator carries a canonical contract acting on exactly one channel of the nodal equation.

The Structural Tetrad

System state is characterized by four structural fields — the four orders of the discrete structural-derivative tower.

Φ_s(0th) Structural potential governing global stability.
|∇φ|(1st) Phase gradient tracking local stress.
K_φ(2nd) Phase curvature acting as geometric confinement.
ξ_CCoherence length whose scale is set by the spectral gap.

Return Home