Z4DP: Hydrodynamic Reproduction of Relativistic Orbital Precession and the Hubble Tension Solution

We present the Z4DP (Zero 4D Motion) framework, an effective field theory treating the vacuum as an elastic superfluid medium. This model offers a potential resolution to the current cosmological crisis (the Hubble Tension) by defining a physical vacuum impedance. A key contribution of this work is the derivation of the interaction coefficient (k=3) based on the "Tri-Modal Response" of the medium (Compression, Torsion, Tension). Numerical validation using the REBOUND N-body package (IAS15 integrator) confirms that this model reproduces General Relativity predictions for perihelion precession with > 99% accuracy (e.g., Venus: 99.97%) through purely hydrodynamic mechanics.