Non-Hamiltonian Dynamics of Solenoidal Vorton Ensembles, Inviscid Reconnection Dissipation, and the Survivor Attractor of Primordial Turbulence

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.