Main mathematical result. The exceptional Jordan algebra J3(O) (the Albert algebra, 27-dimensional) admits the associative collapse map π0 : J3(O) → J3(R) with a 21-dimensional kernel. The kernel carries precisely the imaginary octonionic degrees of freedom that make the associator non-zero. We show, within astrongly motivated EFT framework, that when these degrees of freedom are activated(non-zero associator), the natural consistent open-system dynamics on the residualassociative sector J3(R) takes the Lindblad GKSL form whose jump operators arethe Fano-plane associators Lk = √λ[Ak, Bk, Ck]. The chain:J3(O) π0 −→ J3(R) [A,B,C]̸ =0 −−−−−−→ Lindblad decoherence is grounded in the representation theory of G2 = Aut(O) and the Nakajima—Zwanzigopen-system framework [1]. Complete positivity is verified from the G2-symmetry of the Fano plane (the jump operators satisfy P k Lu2020 k L k = 28λ I, the completeness relation for a CP map).Physical application. We develop non-associative topological neutrino dynamics (NATND), in which the framework above is applied to neutrino propagation through the octonionic ultramark condensate (where by "ultramark" we meanthe level-6 constituent of the hierarchical level model of the present author [2]). Thedecoherence rate Γ(E) = g2U E2/(M2U + E2)/MU is a strongly motivated EFT consequence of the derivative-coupling structure of the associator vertex. It provides an alternative to sterile-neutrino oscillations for the gallium anomaly (GALLEX, SAGE, BEST) and the MiniBooNE excess, with the key signature that the deficitis baseline-independent (no L/E pattern) and energy-dependent as E2/(M2U + E2).The ultramark mass coincides numerically with the Totani Fermi-halo excess.