The Galactic Phase Amplifier and the Cosmic Baryonic Continuum: Variable-Mass Black Hole Rotors, Inertial Braking, and Minimum-Dissipation Streaming Toward the Thermo-Baric Convergence Point (TBCP)

Standard particulate cosmology (ΛCDM) treats intergalactic space as an empty geometric receptacle populated by isolated point masses, rendering it incapable of explaining the rapid emergence of primordial quasars beyond the Eddington radiative limit, the tight kinematic coupling between central supermassive black holes (SMBHs) and galactic disks, and the large-scale coherent streaming of galaxy clusters toward the Great Attractor. In this work, we first establish the empirical physical measure of the cosmic continuum: integrating the diffuse intergalactic baryon density (0.25–1.0 atoms/m³) over a sphere of radius R = 6.5 Gly yields 2.05 × 10²⁰ to 8.20 × 10²⁰ M☉ of real baryonic matter—equivalent to the baryonic mass of 2.05 to 8.20 billion Milky Way galaxies, or a continuous material sheet with a surface density of Σ = 25.73 to 102.92 g/m². Furthermore, geometric scaling demonstrates that galaxies in the cosmos (separated by d/D ≈ 25–100 diameters) are over 500 times more densely packed in relative terms than atomic nuclei in seawater (where oxygen nuclei are separated by d/D ≈ 48,874 : 1), enforcing a cosmological Knudsen number Kn ≪ 1. Building on exact covariant energy-momentum conservation (∇_μ T^μν = 0) and the 4D Navier-Stokes continuum equations, we demonstrate a unified three-scale hydrodynamic mechanism: 1. Core Scale (Parsec) — Shear Cavitation, Discrepancy Waves, and Inertial Braking: Singularity-free black hole cores (ρ₀ < ∞) form on rapid baroclinic timescales. Extreme barotropic stiffening of the inner core (r < r_c) during microsecond stabilization triggers transient turbulent shear cavitation across the boundary layer and releases rotational shockwaves ("discrepancy waves", matching gravitational-wave ringdown signatures). Immersed in the primordial medium, the high-spin rotor subsequently decelerates against the universal inertia of surrounding plasma and radiation fields, converting rotational kinetic energy (ΔE_rot) into quasar luminosity without violating the Eddington accretion limit before settling into a slow, free-wheeling mature rotor (Ω ∝ M⁻¹). 2. Galactic Scale (Kiloparsec) — The Galactic Phase Amplifier and Propeller Wake Expansion: Replacing sterile point singularities with a finite core (r ≤ r_c) housing internal variable-mass distributions generates a rotating multipolar gravitational-baric wave. This signal phase-locks and aggregates surrounding stars and gas along spiral arms in a cascading gravitational relay. Acting mechanically like a marine propeller whose wake cone expands laterally via viscous vorticity diffusion (ν∇²ω), the central rotor sustains the flat peripheral rotation curve (v_rot → v_∞) through the radial pressure gradient (-∇P_4D) without dark matter halos. 3. Supercluster Scale (Megaparsec) — Cosmic Wake Drafting and the Thermo-Baric Convergence Point (TBCP): On megaparsec scales (such as the Laniakea supercluster), rotating galaxies experience macroscopic torsional inertial forces and migrate toward shared, laminarized spacetime currents in accordance with the Helmholtz-Prigogine Principle of Minimum Energy Dissipation. Traveling in a shared slipstream minimizes thermal friction and turbulent drag. Consequently, the misnamed "Great Attractor" is formally retired ("ex-Great Attractor") and reclassified as a Thermo-Baric Convergence Point (TBCP)—the natural low-pressure, minimum-dissipation collector sink of the local cosmic flow.