Published November 20, 2025 | Version 1.0
Preprint Open

Infinite Fractal Cubes Theory (IFCT): Quaternion-Based Elimination of Coordinate Singularities and Discovery of Fractal Constant δ_G ≈ 0.921

Description

The Infinite Fractal Cubes Theory (IFCT) is a revolutionary quaternion-based framework that completely eliminates coordinate singularities in computational fluid dynamics while revealing a universal fractal constant δ_G ≈ 0.921 — the same “cosmological seed” discovered in the Modelo Fractal del Sistema Universal (MFSU).Derived through rigorous variational optimization, IFCT defines the optimal rotation field as Ω* = δ_G · ω (where ω is vorticity), constructs unit quaternions from this field, and applies pure quaternion rotation followed by solenoidal projection. The result: singularity-free, energy-preserving, mathematically exact geometric transformation of any incompressible flow.Key discovery: while δ_G₀ = 0.921 acts as universal “fractal DNA”, its optimal expression adapts to flow regime (1.098 coherent vortices, 0.236 chaotic flows, 0.100 turbulence), establishing δ_G as a true fractal order parameter — identical underlying code, environment-dependent manifestation.Developed independently by Miguel Ángel Franco León with no institutional support, IFCT unifies cosmology and fluid dynamics under a single fractal principle, enabling predictive turbulence modeling, regime-aware flow control, and potential breakthroughs in propulsion, medicine, and multiversal physics.All code, derivations and validation data are open-source and reproducible.

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Additional details

Related works

Is supplement to
Other: 10.5281/zenodo.17481621 (DOI)

Dates

Other
2025/2025

Software

Repository URL
https://github.com/MiguelAngelFrancoLeon/ifct-research
Programming language
Python , Jupyter Notebook
Development Status
Active