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Nonlinear Dynamics and Chaos: More than the sum of its parts.

A close cousin to Autonomy Theory, the philosophy-of-biology program on self-maintenance, approached here through recursion and persistence.

This is the home of two portals. The first is Principia Attractum, a textbook introducing the operators and operations of recursive persistence, also known as the Recursive Admissibility and Persistence Theory (RAPT). The second is the Bio-Kernel Series, a testing platform for deploying those operators.

Recursive Admissibility and Persistence Theory (RAPT) formalizes the conditions under which a structure can maintain its own organization after ignition. In classical chaos theory, an attractor is defined geometrically by the long-term behavior of trajectories within a basin; RAPT instead evaluates whether the attractor-bearing structure possesses the endogenous mechanisms required to sustain its own order. The Bio-Kernel Laboratory subjects these operators to increasingly stringent tests, particularly under asynchronous dynamics where externally supplied regularity is unavailable. The Governance framework ensures that these evaluations remain methodologically sound by prohibiting hidden primitives or stabilizing scaffolds. Read the canonical theory and the experimental kernels together: the left portal specifies the operators of persistence, the right portal examines which structures satisfy them.

Read them side by side: on the left, the textbook, Principia Attractum, the theory itself; on the right, the laboratory built to test it, the Bio-Kernel Series.

Principia Attractum Canonical

The authoritative text of Recursive Admissibility and Persistence Theory (RAPT).

  • Ignition admissibility, modes, attractors, sovereignty
  • Stable definitions intended for publication and citation
Status: An experimental framework for persistence after ignition.

Bio-Kernel Series Experimental Downstream

Digital biospheres that put the RAPT operators to the test: small simulated ecosystems built to see whether stable, self-sustaining structure can form under the framework's rules. The series is being rebuilt from the substrate up, the first-generation simulations ran on a global synchronous clock, which quietly supplies the very temporal order the experiments are meant to test for. The rebuild moves to an asynchronous, no-global-clock cellular automaton.

  • What persists across the asynchrony dial is self-produced; what needs the clock was borrowed.
  • These are experiments. Their results never change the canonical text.
Status: Rebuilding on an asynchronous cellular-automaton substrate.