Constraint Geometry
A catalyst is any entity that constrains a system to a submanifold of its state space. The kinetic acceleration conventionally associated with catalysis is a consequence of this geometric operation, not its definition.
Explorations into how humans and AI work together
A catalyst is any entity that constrains a system to a submanifold of its state space. The kinetic acceleration conventionally associated with catalysis is a consequence of this geometric operation, not its definition.
The mind does not choose to project categories onto experience. It cannot not do so. Call it nomenotropism — the irreducible tendency of mind to take what is continuous and cut it into tokens.
A single tree can grow. A forest of growing trees — connected through their root systems, each one wrong in different ways — converges toward something no single tree could reach. The series folds back on itself.
Every major operation in the current LLM toolkit is subtractive. Growth — isolated, additive extension into new capability — requires a different mechanism entirely. Predictive coding, applied selectively within routed experts, may be that mechanism. Not because it's biologically plausible, but because it's structurally local.
The world is named jagat — the going. Not the standing, not the being, the going. Science forgot this. Dynamical systems remember.