Micro-Hydrodynamic Substrate Structure (MHSS) in the Regime of the Timeless Quantum LemniscateTheory: Derivation of First Principles of Quark Confinement, Phase Soliton Stability, and the Solution to the Spin Crisis.

This study presents a rigorous formulation of the Micro-Hydrodynamic Substrate Structure (MHSS) Model within the framework of the Timeless Quantum Lemniscate Theory (QLT). Rejecting the probabilistic interpretation of quantum mechanics, the work derives elementary particle properties directly from the non-linear rheology of the Planck superfluid continuum subjected to the Global Entrainment Current(Juni). It is demonstrated that quark confinement and asymptotic freedom are direct consequences of the Mott-insulator phase transition and non-linear jumps in local vacuum hydrostatic pressure. The linear confinement potential (V ∝ r) is derived from the condition of background free energy reduction. Furthermore, the work resolves the proton spin crisis through the tensor angular momentum integral of the fluid’s added mass within the inter-window zone of the triple topological knot. The electron is formulated as a stationary, uniaxial, toroidal phase soliton, for which the Bohm quantum pressure is derived directly from the micropolar bending energy of the continuum lattice.