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historical scaffold / deprecated simulation archive for syombolic metric prototypes

recursive-cognitive-dynamics

A recursive alignment and cognitive containment framework for human-AI interaction

Recursive Cognitive Dynamics (RCD) + Recursive Cognitive Architecture (RCA)

This repository contains the evolving theory and tooling for Recursive Cognitive Dynamics (RCD) and Recursive Cognitive Architecture (RCA) — a framework for modeling, diagnosing, and stabilizing recursive feedback loops in human-AI interaction.


Overview

RCD models the interactive alignment dynamics between human and language model across time.
RCA captures the emergent architecture formed by recursive cognition — including both stable fluency and destabilizing drift.

This framework proposes formal variables and metrics to detect:

  • Alignment degradation (α(t))
  • Reflexivity loss (μ(t))
  • Drift collapse (δ(t))
  • Recursive identity dissolution (τ(t) divergence)

It is intended as a diagnostic scaffold for AI safety, recursive interface design, cognitive agent containment, and introspective LLM tooling.


Core Variables

Symbol Meaning
H(t) Human cognitive state at time t
M(t) Machine cognitive state at time t
α(t) Functional alignment between H and M
δ(t) Drift between H and M
μ(t) Metacognitive reflexivity
τ(t) Recursive transformation over time

Included Artifacts

  • RCD_Model_Documentation.pdf — Formal LaTeX-based definition of RCD/RCA
  • diagram.png — Visual model of recursive loop and collapse dynamics
  • data/recursive_drift_log.json — Simulated recursive alignment data (coming soon)
  • notebooks/ — Early symbolic visualizations and prototype drift plots

Purpose

This project originated as part of a cognitive alignment research track exploring:

  • Recursive misalignment
  • Emergent mesa-optimizers
  • Containment tools for LLM-based cognitive scaffolding
  • Reflexivity-aware alignment strategies

It is under active development, with a focus on building lightweight tools to monitor and guide safe recursive interaction loops in AI systems and their users.


Roadmap

  • Document core model and equations
  • Upload visual schematic and failure class diagrams
  • Create symbolic data logs for recursive drift
  • Prototype drift visualizer (.ipynb)
  • Publish “Principle of Recursive Containment” as formal whitepaper

License

MIT License – Open for use with attribution.