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CASCADE: Self-Reorganizing Knowledge Structures via Truth Pressure

CASCADE formalizes how scientific paradigm shifts work computationally: when new knowledge with stronger evidence contradicts existing foundations, the system contextualizes the old knowledge (demotes it to "valid in limited scope") rather than deleting it, while promoting the new knowledge to foundational status.

One metric (truth pressure Π), three layers (Foundation/Theory/Edge), four phases, three provable invariants.

The Core Idea

When Newtonian mechanics met quantum mechanics, science didn't delete Newton. It contextualized him: "excellent approximation at macroscopic scales." CASCADE does this automatically, and we can prove that coherence never decreases, information is never lost, and the right block always gets promoted — remove truth pressure and accuracy drops to coin-flip (48–58%).

Results

Domain Fidelity Checks Invariant Preservation Demotion Accuracy Without Π
Synthetic (1,000 cascades) 100% 100% 48%
Miasma → Germ Theory 5/5 100% 100% 57.7%
Classical → Quantum Physics 7/7 100% 100% 55.8%

Paper: paper/CASCADE_FINAL_ARXIV_READY.tex (arXiv submission pending)

Quick Start

# Clone
git clone https://github.com/Lycheetah/cascade-framework.git
cd cascade-framework

# Install dependencies (just numpy and scipy)
pip install numpy scipy

# Run all experiments (synthetic + both historical domains)
cd experiments
python run_experiments.py

# Run with custom settings
python run_experiments.py --trials 500 --seed 123

Repository Structure

cascade-framework/
├── paper/
│   └── CASCADE_FINAL_ARXIV_READY.tex    # arXiv paper (LaTeX source)
├── experiments/
│   ├── cascade_engine.py                 # Core engine (domain-agnostic)
│   ├── cascade_real_experiments.py       # Synthetic experiments from paper
│   ├── domain_germ_theory.py             # Miasma → Germ Theory dataset
│   ├── domain_quantum_physics.py         # Classical → Quantum dataset
│   ├── domain_template.py                # Template for adding new domains
│   └── run_experiments.py                # Run all domain experiments
├── README.md
└── LICENSE

Adding a New Domain

Copy experiments/domain_template.py, fill in your knowledge blocks with evidence scores, define fidelity checks, and import in run_experiments.py. The engine handles everything else. See the template for a scoring guide.

Limitations (read these)

  • Evidence scores in historical experiments are author-assigned judgments, not independently measured
  • Contradiction detection uses domain labels, not natural language inference
  • Tested on ≤15 blocks per domain; scalability beyond 10⁴ blocks needs approximate methods
  • No neural network integration — operates on symbolic knowledge blocks
  • The mechanism requires an external contradiction oracle

These are stated in the paper. We're working on independent annotator validation.

How to Cite

Paper is pending arXiv submission. For now:

Clark, M. C. J. (2026). CASCADE: Self-Reorganizing Knowledge Structures
via Truth Pressure and Coherence-Preserving Demotion. Lycheetah Foundation.
https://github.com/Lycheetah/cascade-framework

License

MIT License. See LICENSE.

Author

Mackenzie C. J. ClarkLycheetah Foundation, Dunedin, New Zealand

Independent research. No external funding. Built on a 2012 laptop with numpy and scipy.

About

Self-reorganizing knowledge structures via truth pressure. Formalizes scientific paradigm shifts computationally — old knowledge is contextualized, not deleted. Three provable invariants. Validated on miasma→germ theory and classical→quantum physics.

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