Trajectory Reshaping Architecture

What It Is

The restorative correction mechanism within the constraint surface. When an agent's trajectory exits the permissible region, the architecture computes the correction from the obstruction itself and curves the trajectory back. The ASP's CURVE phase implements this: the constraint surface defines what corrections are permissible, and the coupling dynamics determine the absorption rate.

Why It Matters

Punitive governance blocks non-compliant actions. Each block reduces system throughput. Restorative governance corrects non-compliant actions while preserving the agent's operational intent. The first depletes capacity under load. The second accumulates it.

Punitive systems block non-compliant actions. Each block reduces system throughput. Under high agent density, blocking becomes a bottleneck — governance fights capability. Restorative systems correct non-compliant actions while preserving the agent's operational intent. The correction is determined by the obstruction (what went wrong) and bounded by the constraint surface (what corrections are permissible), making it auditable and deterministic rather than heuristic. Lyapunov-like convergence guarantees that the constraint surface functions as a basin of attraction — trajectories curve back rather than oscillate.

Proof Points

Correction determined by obstruction, bounded by constraint surface — deterministic, not heuristic
ASP CURVE phase: implements reshaping within the six-state LISTEN-PATCH-DETECT-CURVE-GATE-ABSORB loop
Lyapunov-like convergence: constraint surface as basin of attraction
Preserves operational utility during enforcement — no zero-sum safety/capability tradeoff
No deployed governance framework implements restorative trajectory correction
All alternatives use punitive enforcement (block, reject, escalate)
Patent-protected: USPTO 19/418,922

Market Position and IP

Patent-protected (USPTO 19/418,922). No deployed governance framework implements restorative trajectory correction. All alternatives use punitive enforcement (block, reject, escalate). The trajectory reshaping architecture is the mechanism that makes governance scalable — it does not degrade system throughput under enforcement load. This is a structural advantage: punitive systems face a throughput ceiling as agent density increases.

Novel Research Contribution

Formalizes restorative governance as a dynamical systems problem with convergence guarantees, published in the governance-as-geometry and nobody-decides papers. Demonstrates that the correction function is uniquely determined by the obstruction and the constraint surface geometry — eliminating the design choice of "how to respond to violations" and replacing it with a mathematical derivation.

Implementation and Impact

Delivered as part of the Ambient Steering Protocol within AgentOS. The correction mechanism operates as a background process — agents experience governance as a continuous field, not as discrete enforcement events. Clients receive governance that enforces constraints without degrading operational capacity, even at scale.

Connections

Imperatives: Restorative Governance
Builds: AgentOS
Papers: governance-as-geometry, nobody-decides