The Gibson Topology: A Hydraulic Solution to the Hubble Tension and Dipole Repeller

Abstract This paper proposes a new theoretical framework, the Gibson Topology, which reinterprets the Local Universe ( ) not as a static gravitational web, but as a dissipative hydraulic system. By integrating the kinematics of the Dipole Repeller (void expansion) with the Shapley Concentration (gravitational sink), we define a coherent bulk flow vector that resolves the current tension in the Hubble Constant ( ). Key Propositions: The Injector: The Eridanus Supervoid (associated with the CMB Cold Spot) is identified as a region of active vacuum pressure injection, driving the observed local repulsion. The Sink: The Shapley Attractor functions as the terminal drain for the Laniakea Supercluster. The Hubble Correction: We demonstrate that the discrepancy between Early Universe ( km/s/Mpc) and Local ( km/s/Mpc) expansion rates is an artifact of our location within this high-velocity flow current ( km/s). Methodology: The model synthesizes data from the CosmicFlows-4 catalog with the thermodynamic predictions of dissipative structure theory. We predict a non-thermal radio signature ("Vacuum Hiss") within the Eridanus Void as a falsifiable test of the injection mechanism.