Non-Hamiltonian Dynamics of Solenoidal Vorton Ensembles, Inviscid Reconnection Dissipation, and the Survivor Attractor of Primordial Turbulence
Year: 2026
Type: article
Abstract: We establish a self-contained, mathematically closed, non-Hamiltonian field theory of three-dimensional incompressible fluid dynamics formulated through discrete solenoidal vorton dipoles. Classical Hamiltonian and Lagrangian field-theoreticparadigms inherently fail to capture topological vortex transitions because finitetime reconnections induce inviscid singular dissipation, in strict accordance with the Onsager theorem for weak solutions of the ideal Euler equations. In this work,the turbulent vacuum substrate is formulated as a hybrid dynamical system: continuous, volume-preserving Biot–Savart induction is punctuated by discrete, noninvertible surgical reconnection operators acting at a critical core separation.
Author: Aksman, Michael
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225454163