Since Fritz Zwicky's seminal 1933 virial analysis of the Coma Cluster (Abell 1656), the extreme velocity dispersion of peripheral galaxies (~1,000 km/s) and strong gravitational lensing angles have been interpreted as evidence for a massive, collisionless Dark Matter halo comprising ~85-90% of the cluster's mass. Despite nine decades of particle physics searches, no dark matter constituent has ever been detected. In this paper, we demonstrate that the Coma Cluster anomaly is an emergent macroscopic consequence of continuum fluid mechanics and non-equilibrium thermodynamics within a 4D spacetime substrate. First, applying the Helmholtz-Rayleigh minimum dissipation variational principle, we prove that N ≈ 1,000 galaxies coalescing into a single coherent Rankine-Hill vortex of core radius R_c ≈ 0.25 Mpc reduce their viscous drag dissipation against the cold surrounding substrate by 99.17% compared to isolated motion (η_drag ≈ 0.0083). Second, we introduce the principle of Thermodynamic Density Asymmetry: as an active, high-enthalpy system (T ≈ 10^8 K, 8.2 keV), Abell 1656 generates a self-sustaining laminar shear boundary layer (observed in X-rays as sharp "cold fronts" and in radio as a Mach 2.2 peripheral shock) that suppresses thermal diffusion into the passive cold cosmic void. Third, solving the stationary radial Cauchy-Navier-Stokes momentum balance coupled with non-linear Beltrami helical vorticity and Fermat's principle of hydrodynamic refraction, we derive an exact analytical deflection angle. Calibrated strictly on Abell 1656 baryonic observables (M_b = 2.0 × 10^14 M_⊙, v_∞ = 1,000 km/s) with zero free parameters, the 4D vortex depression yields a constant peripheral refraction floor of 14.42 arcsec and reproduces the observed 5.2× "apparent dark mass" ratio at the virial radius without invoking exotic matter.
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