Paper XXXIV: The T1/T2/T2* Dephasing Hierarchy: Sump Mechanism and the MRI Analogy

The brane-bulk sump mechanism generates a three-level relaxation hierarchy in direct structural analogy with MRI T1/T2/T2* physics. T1 (longitudinal recovery): the universal background acceleration a0 = cH0/2π drives all baryonic matter toward the global sump equilibrium this is the MOND term. T2* (susceptibility-weighted dephasing): within the black hole sphere of inuence r < rT2* = p GMBH/a0, the coherent BH focal zone produces a systematic jerk term JBH that enhances the inner rotation curve the galaxy-dynamics analog of susceptibility-weighted MRI revealing local eld inhomogeneity. T2 (spin-spin dephasing): stellar clusters contribute incoher- ent individual jerk terms that sum beyond the disk scale length λT2, producing a random dephasing envelope analogous to spin-spin relaxation from many small ran- dom contributors. The full acceleration model g (r) = gbary (r) ν (gbary/a0) + JBH e-r/rT2* + JT2 e-r2/λ2T2 is tted to the SPARC 175-galaxy sample. The T2*/T2 balance resolves the rotation curve diversity problem: galaxies with the same total mass but dierent MBH have dierent T2*/T2 ratios, producing dierent inner curve shapes without dark matter. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10. 5281/zenodo. 19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M. D. , University of Minnesota. ORCID: 0000-0002-1143-941X.