Dynamical systems
Recurrent Update Laws and Gaze Dynamics
The controller’s nested coordinate spaces, gated interference, convergence behavior, and closed-loop credit assignment.
Public research record / Reading room
Mechanisms, exposed.
The archive documents how the company’s systems work, what they assume, and where the research remains incomplete.
01 / Archive
Current research records.
The public archive begins with Virgil’s recurrent controller and the Soapstone continuous-to-discrete interface.
Mathematical physics
Topological Decoders for Complex-Valued Fields
Gradient-flow basins, winding-number cell indices, and rooted ribbon graph traversal for continuous-to-discrete expression.
02 / Editorial posture
The record is part of the system.
Publishing is not an announcement layer applied after development. It is how the work becomes inspectable.
Specific over promotional.
Documents describe mechanisms and assumptions rather than substituting slogans for technical detail.
Connected to working systems.
Research is paired with code and interactive instruments wherever the medium can reveal behavior.
Open to revision.
Preprints record the present formulation of ongoing work and develop alongside the systems themselves.
03 / Context
See where the papers become a system.
The Virgil program connects both records to working visual instruments and a complete architectural walkthrough.