The Kolmogorov Freeze-Out Microscale as the Origin of the Compton Wavelength: Dual Hydrodynamic and Non-Abelian Primordial Turbulence

Universal Dissipation Microscale: Primordial hydrodynamic and non-Abelian turbulence cascades down to the Kolmogorov dissipation microscale, which sets the universal core radius and lattice pitch. Resonant circulation around the frozen eight-hundred-sixty-one-node loop directly establishes the particle Compton wavelength and classical electron radius. Solenoidal Vorton Dipoles: Each circulation element consists of a concentrated core and an extended non-local vorticity tail that enforces divergence-free flow everywhere. Along closed filaments, adjacent tails destructively cancel in the far field, confining vorticity strictly to the core while preserving topological flux continuity during reconnections. Turbulent Arrest and Confinement: Continuous enstrophy shedding contracts the primordial turbulent attractor until non-Abelian running coupling triggers dual Meissner flux-tube confinement, freezing the cascade into the arithmetically locked Heegner ground state. Emergence of the Standard Model: Incompressible phase volume across the three-loop Borromean nucleon generates color symmetry, background chiral drag isolates left-handed weak isospin, and Cartan triality on the twenty-eight-node defect yields the three fermion generations. Dimensional and Physical Closure: Evaluating the physical three-dimensional volume of the closed vorton torus establishes dimensionally consistent definitions for particle rest mass and Planck's action quantum, while universal lattice elasticity generates Einstein-Hilbert gravitation without species-dependent variations.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24055797
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
article

The Kolmogorov Freeze-Out Microscale as the Origin of the Compton Wavelength: Dual Hydrodynamic and Non-Abelian Primordial Turbulence

Michael Aksman
4 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

The Kolmogorov Freeze-Out Microscale as the Origin of the Compton Wavelength: Dual Hydrodynamic and Non-Abelian Primordial Turbulence

Michael Aksman
article en

Abstract

Universal Dissipation Microscale: Primordial hydrodynamic and non-Abelian turbulence cascades down to the Kolmogorov dissipation microscale, which sets the universal core radius and lattice pitch. Resonant circulation around the frozen eight-hundred-sixty-one-node loop directly establishes the particle Compton wavelength and classical electron radius. Solenoidal Vorton Dipoles: Each circulation element consists of a concentrated core and an extended non-local vorticity tail that enforces divergence-free flow everywhere. Along closed filaments, adjacent tails destructively cancel in the far field, confining vorticity strictly to the core while preserving topological flux continuity during reconnections. Turbulent Arrest and Confinement: Continuous enstrophy shedding contracts the primordial turbulent attractor until non-Abelian running coupling triggers dual Meissner flux-tube confinement, freezing the cascade into the arithmetically locked Heegner ground state. Emergence of the Standard Model: Incompressible phase volume across the three-loop Borromean nucleon generates color symmetry, background chiral drag isolates left-handed weak isospin, and Cartan triality on the twenty-eight-node defect yields the three fermion generations. Dimensional and Physical Closure: Evaluating the physical three-dimensional volume of the closed vorton torus establishes dimensionally consistent definitions for particle rest mass and Planck's action quantum, while universal lattice elasticity generates Einstein-Hilbert gravitation without species-dependent variations.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon