Assessment of Lensing Magnification and Spatial Offset in the Bullet Cluster and Similar Galaxy Clusters Through the 3.998D Lens

This paper applies the 3.998D manifold framework to the Bullet Cluster collision, showing that observational anomalies support a Universe that is slightly less than the standard four-dimensional spacetime. By treating Space as a superfluid and matter a collection of stable topological knots, emergent from the manifold, the framework reveals the Bullet collision as a topological shear dynamic effect, without introducing non-baryonic matter particles. A stiffness constant P of ≈5.01 and a maximum average magnification Ξ ≈ 11.34 is derived for space purely from geometric regularisation. Numerical simulations qualitatively match observations using the deficit as the only core constant. Mass-gas separation is explained as a kinematic interplay between the manifold’s tendency to resist change, and plasma subjected to electromagnetic interactions. This dynamic behaviour leads to an outcome consistent with high precision measurements. The collision is reinterpreted by treating matter as a clamped region of the manifold, passing through an unclamped manifold of space, inducing a topological sheer with a relaxation delay. A spatial separation is rigorously calculated to be ~165 kpc at 150 Myr post passage, thereby offering a viable solution to describing galaxy dynamics through fractional geometry.