One-Octonion Brane-Bulk Framework, Paper CCCXI-A. Companion to Paper CCCXI (dark-matter-free trail DF2/DF4/DF9 in the NGC 1052 field), which asserted a sump-decoherence mechanism but left the suppression factor and the T1 recovery curve as an explicit owed derivation. This paper discharges that debt with no new field and no new free parameter.
The suppression factor is identified with the brane-current coherence order parameter C(t) of the existing T1/T2/T2* hierarchy, so the deep-regime sump boost is g(t) = g_N + C(t)[√(a0 g_N) − g_N]. A bullet-dwarf collision is a two-timescale Bloch process: a fast T2* quench (debris born baryon-only, C≈0) followed by slow longitudinal recovery C(t) = 1 − exp(−t/T1). Because the sump tracks the global expansion, T1 = 1/H0 = 14.5 Gyr with zero new parameters, yielding the parameter-free, H0-independent structural identity a0·T1 = c/(2π) = 0.159 c — the sump acceleration floor and its coherence-recovery clock are two faces of the single global rate H0, locked by the speed of light. The observable is a closed-form dispersion recovery σ(t) and a monotone age law M_dyn/M_bar(t) = 1 + (1−e^{−t/T1})(R−1), making prediction P104 quantitative. Applied to DF9 (R=4.5) the data (σ ≤ stars-alone) force C≈0, i.e. a recent collision (≲ 1–2 Gyr ago) — a sharpened, falsifiable window. verify 8/8.
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.
Publication Date: 2026-06-18