Entanglement as Aether-Network Resonance: Integrating Singularity Mechanics Theory Nodes with Quantum Measurement Units in the Aether Physics Model

This paper presents a ledger-first synthesis of Singularity Mechanics Theory (SMT) with the Aether Physics Model (APM), mapping SMT quantum-entanglement nodes onto APM Aether units. Entanglement is modeled as chronovibrational phase alignment across magnetic-charge flux linkages, with the EPR singlet pair treated as a shared torsional boundary condition rather than a non-local signal process. The paper develops QMU expressions for the superposition state vector, nodal entanglement energy, resonance frequency, flux-linkage holonomy, torsional winding, and chronovibrational delay. Ledger One is used to connect Aether-unit rotation, torsional curl, and electromagnetic propagation closure through the identity\[A_u · curl = {F_q}^2 {λ_C}^2 = c^2.\] A central result is that the Aether-unit flux-cycle scale associated with a complete magnetic-charge holonomy cycle reduces to\[Ecycle = m_e {λ_C}^2 {F_q}^2 = m_e c^2,\]while the measured EPR correlation is carried by phase and holonomy rather than by release of this full-cycle energy. The paper distinguishes the electron--electron EPR singlet from the electron--positron pair-process scale, clarifying that the singlet correlation is a same-species shared torsional phase condition, whereas pair creation or annihilation carries the separate energy scale\[Eₚₐᵢᵣ = 2m_e c^2.\] Testable predictions are proposed, including chronoscopy delays in Bell tests, resonance signatures in magnetic interferometry, gravity--entanglement coupling through resonance density, conservation of Aether torsion slots in pair processes, and a SQUID-detected Bell-resonance experiment involving a loxodromic modulator. The work provides a formal bridge between SMT network resonance, APM Aether-unit geometry, and QMU ledger closure.