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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Infinite Fractal Cubes Theory (IFCT): Quaternion-Based Elimination of Coordinate Singularities and Discovery of Fractal Constant δ_G ≈ 0.921

Authors: franco leon, miguel angel;

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

Abstract

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.

Keywords

IFCT, fractal constant, quaternions, fluid dynamics, turbulence, MFSU

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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