The Farid Galactic Gate Collapse How SMBH Functional Decay Triggers Entropic Capture and Mergers — The Mathematical Architecture and Four Preregistered Falsification Predictions

Title: The Farid Galactic Gate Collapse: How SMBH Functional Decay Triggers Entropic Capture and Mergers Author: Prof. Dr. Md. Faridul Islam Chowdhury Affiliation: Founder & Director, Tanfarid Vision Research Institute (TVRI), Bogura, Bangladesh Abstract: This monograph presents the mathematical architecture of the Farid Galactic Gate Collapse, a revolutionary theoretical framework within the Tanfarid Quantum Thermodynamic Universe (TQTU) programme. Replacing mainstream dark-matter halo hypotheses with a local, observable causal mechanism, the framework models galactic mergers as a direct consequence of the functional decay of central supermassive black holes (SMBHs). The governing state equation formulates galactic trajectories as a dynamic balance between the Farid entropic-gravity term ($g_F = -(\Gamma_F/k_B)\nabla S$) and electromagnetically organized plasma terms, modulated by the Core Functional Activity Index ($\lambda_H \in [0,1]$). When the core engine is active ($\lambda_H \to 1$), the Lorentz cross-product $\mathbf{J}_b \times \mathbf{B}_{\text{SMBH}}(\lambda_H)$ supplies a powerful perpendicular push that deflects intruder galaxies into safe hyperbolic passes. When the core decays ($\lambda_H \to 0$), the circumgalactic magnetic shield collapses, leaving the unshielded entropic gradient to drive gravitational capture and merger. The study anchors this mechanism to real NASA observational data (including Arp 220, the dormant black hole GN-1001830 at $z \approx 7.5$, and Goddard Discover supercomputer weak-jet simulations) and examines the Cartwheel Galaxy's ring morphology as a historical fossil of a shield-down encounter. To maintain strict scientific discipline, the framework enforces four rigorous independent firewalls and establishes four preregistered falsification predictions testable with existing facilities (JWST, Chandra, ALMA, Roman). Classification: Preregistered Working Framework (Level 0 / Locked Protocol); Gravity fitting is strictly locked.