Non-Equilibrium Liquid Turbulence: Solenoidal Feshbach–Schur Dissipation, Viscoelastic Drag Reduction Limits, and Quantized Vortex Filament Dynamics
Abstract
We present a comprehensive, non-perturbative field theory of liquid turbulence across Newtonian, viscoelastic, and quantum superfluids within the framework of Detection Ontology (DO). Classical fluid mechanics treats the incompressible Navier–Stokes equations as a continuous system where energy cascades frictionlessly through the inertial subrange until terminated by molecular viscosity \nu_{\text{mat}}. However, laboratory experiments in liquid flows reveal three persistent structural anomalies.
This paper resolves thos anomalies by establishing that liquid flows are compiled upon the discrete Tetrahedral Quantum Point (TQP) complex. By coupling the velocity field to a materially advected detection scalar \Phi(x, t) and an adèlic scaling generator \mathcal{D}_L, we resolve the regularity crisis, close the turbulent Reynolds stresses, derive Virk's MDR limit, and quantify the circulation invariant of quantum liquid vortices.
Related
- Global Analytic Gevrey Regularity, Solenoidal Feshbach–Schur Dissipation, and Non-Commutative Spectral Turbulence in 3D Incompressible Rotating Navier–Stokes Flows
- Non-Equilibrium Many-Body Universality, Active Matter, and Multiscale Turbulence Physics (NEMBAMT): A Deductive Framework Unifying Dissipation–Information Bounds, Certified Multiscale Closure, and Inverse Metamaterial Design within the ZFC Axiomatic Bridge
- Inertialess turbulence in viscoelastic pipe flow
- Comparison of One-Dimensional and Quasi-Two-Dimensional Friction Models for Hydraulic Transient Response and Energy Dissipation in Viscoelastic Pipelines at Different Water Temperatures
- Fluctuation-dissipation relations in isotropic turbulence from Kraichnan's fully resolved DIA closure
BibTeX
@misc{tudor2026nonequilibrium,
title = {{Non-Equilibrium Liquid Turbulence: Solenoidal Feshbach–Schur Dissipation, Viscoelastic Drag Reduction Limits, and Quantized Vortex Filament Dynamics}},
author = {Auygust Tudor},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23547068},
url = {https://zenodo.org/records/23547068},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-Equilibrium Liquid Turbulence: Solenoidal Feshbach–Schur Dissipation, Viscoelastic Drag Reduction Limits, and Quantized Vortex Filament Dynamics
AU - Auygust Tudor
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23547068
UR - https://zenodo.org/records/23547068
AB - We present a comprehensive, non-perturbative field theory of liquid turbulence across Newtonian, viscoelastic, and quantum superfluids within the framework of Detection Ontology (DO). Classical fluid mechanics treats the incompressible Navier–Stokes equations as a continuous system where energy cascades frictionlessly through the inertial subrange until terminated by molecular viscosity \nu_{\text{mat}}. However, laboratory experiments in liquid flows reveal three persistent structural anomalies. This paper resolves thos anomalies by establishing that liquid flows are compiled upon the discrete Tetrahedral Quantum Point (TQP) complex. By coupling the velocity field to a materially advected detection scalar \Phi(x, t) and an adèlic scaling generator \mathcal{D}_L, we resolve the regularity crisis, close the turbulent Reynolds stresses, derive Virk's MDR limit, and quantify the circulation invariant of quantum liquid vortices.
ER -