A Second-Order Hilbert-Space Vortex Model for Mental-Trajectory Dynamics

Construct-Vortex Dynamics (CVDP) is a theoretical and computational framework for representing individual construct-state trajectories and persistent collective influence structures in a high-dimensional state space. The model couples information processing, contextual interpretation, emotional and analytical utility, interpreted impact, psychological variables, collective memory, and second-order trajectory dynamics. Revision 0.9 explicitly separates attitudinal orientation from identification strength, commitment, capture state, and construct-space position. Simulator v0.6 uses an open construct space with drifting collective centers, nonzero preferred capture radii, release and walk-away, and a symmetric neutral-control initialization. Under seeded perturbation the implementation permits transient orientation-capture mismatch states, in which an agent's dominant attitudinal orientation can change before release from the other modeled collective. These are simulation-level behaviors, not empirical validation. The paper presents bounded novelty claims, falsifiable predictions, mathematical consistency checks, and explicit limitations under the CVDP CAOP evidence protocol.