Paper XXXIV: The T1/T2/T2* Dephasing Hierarchy: Sump Mechanism and the MRI Analogy
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2026
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| author | Jagadeesan, Bharathi Dasan |
| author_facet | Jagadeesan, Bharathi Dasan |
| contents | <p>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 < r_T2* = p GMBH/a0, the coherent BH focal zone produces a systematic jerk term J_BH 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 λ_T2, producing a random dephasing envelope analogous to spin-spin relaxation from many small ran- dom contributors. The full acceleration model g(r) = g_bary(r)ν(g_bary/a0) + J_BH e{-r/r_T2*} + J_T2 e{-r2/λ2_T2} 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 M_BH have dierent T2*/T2 ratios, producing dierent inner curve shapes without dark matter.</p><p><em>Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: <a href="https://doi.org/10.5281/zenodo.19120873">10.5281/zenodo.19120873</a>. Community: <strong>one-octonion-brane-bulk</strong>. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.</em></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20299830 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Paper XXXIV: The T1/T2/T2* Dephasing Hierarchy: Sump Mechanism and the MRI Analogy Jagadeesan, Bharathi Dasan One-Octonion Brane-Bulk Framework G2 octonion Klein quartic Fano plane auxetic brane <p>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 < r_T2* = p GMBH/a0, the coherent BH focal zone produces a systematic jerk term J_BH 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 λ_T2, producing a random dephasing envelope analogous to spin-spin relaxation from many small ran- dom contributors. The full acceleration model g(r) = g_bary(r)ν(g_bary/a0) + J_BH e{-r/r_T2*} + J_T2 e{-r2/λ2_T2} 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 M_BH have dierent T2*/T2 ratios, producing dierent inner curve shapes without dark matter.</p><p><em>Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: <a href="https://doi.org/10.5281/zenodo.19120873">10.5281/zenodo.19120873</a>. Community: <strong>one-octonion-brane-bulk</strong>. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.</em></p> |
| title | Paper XXXIV: The T1/T2/T2* Dephasing Hierarchy: Sump Mechanism and the MRI Analogy |
| topic | One-Octonion Brane-Bulk Framework G2 octonion Klein quartic Fano plane auxetic brane |
| url | https://doi.org/10.5281/zenodo.20299830 |