Holographic Residual Dark Matter III: Merging Clusters as Baryonic Displacement from a Persistent Residual Gravitational Well

This technical preprint presents Paper III of the Holographic Residual Dark Matter framework. Paper I introduced the core CDM-like effective component, and Paper II discussed galaxy-scale phenomenology. The present note focuses on merging galaxy clusters and the interpretation of lensing-gas offsets. In this framework, the residual component X is not modeled as a material component transported through the bulk. Instead, X is interpreted as a persistent holographic residual gravitational well. In merging clusters, collisional baryonic gas may be hydrodynamically and electromagnetically displaced from this pre-existing residual well. The lensing peak then traces the effective residual gravitational structure,…