A Geometric Lens Model for the Bullet Cluster: Resolving the Dark Matter Halo Separation Paradox via Vacuum Hysteresis

The Bullet Cluster (1E 0657-558) is widely cited as the "direct empirical proof" of particulate Dark Matter. Observations reveal a separation between the center of baryonic mass (X-ray gas) and the center of gravitational potential (weak lensing). In the standard Lambda-CDM paradigm, this is interpreted as collisionless WIMPs passing through each other while the gas interacts and slows down. Unified Field Dynamics (UFD) offers an alternative explanation based on the superfluid hydrodynamics of the vacuum.

We model the "Dark Matter Halo" not as a cloud of particles, but as a Coherent Vacuum Vortex induced by the galaxy's rotation (UFD-COS-02). We demonstrate that this vacuum flow structure possesses Dynamical Inertia (independent of the source mass) analogous to a smoke ring or a persistent current in a superconductor. When two clusters collide, the baryonic gas is decelerated by electromagnetic pressure (Ram Pressure). However, the vacuum vortex—being a geometric flow of the neutral X_H field—experiences zero electromagnetic viscosity. Consequently, the vortex detaches from the baryons and continues propagating ballistically due to the conservation of circulation flux. This Vacuum Hysteresis creates a transient gravitational lens that leads the baryonic matter, exactly reproducing the Bullet Cluster phenomenology without invoking non-baryonic particles. We predict that such separation is a transient state and that the vortex will eventually relax back to the baryonic center via gravitational drag.