Abstract

This paper presents a fundamental extension to the classical equations of motion by introducing a non-ide al fluid dynamics model of the vacuum. Standing on the shoulders of preceding frameworks from Einstein's geometric curvature to Sakharov's vacuum elasticity this study complements the existing gravitational para digm with the Vacuum Viscous Stress Tensor (VVST). It is demonstrated that a viscous Quantum-Crystalline (QC) substrate, characterized by a dynamic viscosity ?qc ≈ 1.2 x 10-12 kg m-1 s-1, provides a deterministic solution to the Pioneer 10/11 anomalous deceleration and Earth Flyby velocity shifts. This unified approach suggests that certain phenomena attributed to dark matter can be reinterpreted as manifestations of medi um-dependent dissipation and inertial resistance within the Z-thickness gradient.

DOI: doi.org/10.63721/26JPQN0151

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