A comprehensive exploration of mathematical complexity theory, dimensional analysis, and theoretical physics concepts.
This repository is dedicated to formalizing and understanding Complexity Numbers and related theoretical frameworks including the Complexity Universe Theory. It serves as a collection of research, notebooks, and mathematical explorations on advanced topics in complexity, topology, and mathematical physics.
- Complexity Universe/: Core materials on complexity universe theory and complexity diagrams
- Infinity-Analysis/: Exploration of infinity analysis with problem sets and symbolic computations
- Tensors/Learning/: Tutorials and learning materials on tensor mathematics (L1, L2)
- Probability Distributions/: Sampling and distribution analysis
- Variété/: Differential geometry exploration (Julia implementation)
- TOY MODELS/: Simplified models for concept exploration
- Theory-of-mathematization-logicalization-of-language/: Language formalization theory
- Formalizing Complexity Numbers (5% Complete)
- Define and establish the mathematical foundation for Complexity Numbers
- Develop rigorous definitions and properties
- Complexity Numbers: Foundational definitions and theoretical development
- Dimensional Diagrams: Visual and mathematical representations of dimensional relationships
- Hyperspheres: Geometric structures in higher dimensions
- Tensors: Mathematical tensor operations and applications
- Gamma Functions: Special function analysis
- Probability Distributions: Sampling methods and distribution theory
- Explore the Jupyter notebooks for interactive mathematical explorations
- Check GOALS.md for project milestones and progress
- Review TESTS.md for testing and validation details
Contributions are welcome. Please ensure any additions align with the project's focus on mathematical rigor and theoretical development.
Last updated: January 2026