Technology
Progressive disclosure of mathematical sophistication.
We structure our work as a ladder of sophistication—from the “Scalar Fallacy” at the bottom to the full Lane Vector stack at the top. Each level corresponds to how systems treat intent and value.
Level 0 (Scalar)
A signal has a scalar measure. That number often drives decisions.
Level 1 (Vector Embedding)
This single correction eliminates the majority of scalar-bias errors.
Level 2 (Kinematic State)
Signals have velocity and acceleration in a 4D state space.
Level 3 (Lagrangian Dynamics)
The system is governed by a Lagrangian. Geodesic paths replace predictions.
Level 4 (Stiff-PINN Solver)
The full Lane Vector stack—governing equations discovered via KANs, enforced through CINNs, solved via Stiff-PINNs.
We do not compete with scalar-based tools for the same reason that a finite element solver does not compete with a ruler.
Conventional scalar-based platforms operate at Level 0. Systems that use vector embeddings without full dynamics sit at Level 1. Lane Vector operates at Levels 3–4.