The Supersolid Dark Matter Medium as the Fabric of Spacetime: Physical Properties and Application to the NGC 1052 Galaxy Trail

We propose that the vacuum of space is permeated by a supersolid dark matter medium whose displacement by ordinary matter is the physical manifestation of spacetime curvature. The gravitational signature of a galaxy is not a co-located particle halo but the mass of the neighboring supersolid medium displaced by the galaxy, determined causally by the galaxy’s own baryonic mass, rotational velocity, and spatial extent. This displacement scaling relation reproduces the baryonic Tully–Fisher relation as a causal consequence of displacement geometry in the plane of rotation. We derive three physical properties of thesupersolid medium from two independent observations with no free parameters: background density from the baryonic Tully–Fisher relation applied to the NGC 1052 trail galaxies, shear wave speed from the Bullet Cluster restoring timescale confirmed by ZwCl0024+1652, and shear modulus from their product. We apply this framework to the NGC 1052 field, where the trail of galaxies including NGC 1052-DF2, NGC 1052-DF4, and NGC 1052-DF9 presents a unique natural experiment. The bullet dwarf collision produced dynamically quiet galaxies whose slow rotation displaces very little of the surrounding medium, producing the low velocity dispersions precisely as the framework predicts. We propose that existing bullet dwarf simulations be rerunreplacing collisionless particle dark matter with a continuous supersolid medium initialized with the derived physical properties, predicting that displacement scaling across the trail emerges naturally from the collision geometry without free parameters per galaxy.