Autopoietic Stochastic Differential Geometry as the Geometric Completion of Quantum-Mind Theories

We show that the Nielsen-Sarfatti (2025) nonlinear field pumping formalism—unifying Fröhlich dipolar condensation, parametric amplification, and Beltrami-Double Hopf turbulence—embeds naturally into Autopoietic Stochastic Differential Geometry (ASDG) on the 112-dimensional E₇-symmetric manifold ℳ₁₁₂. ASDG is a mathematical framework for dynamics on quaternionic-Kähler manifolds combining symplectic, dissipative, and stochastic flows. The Universal Master Equation (UME) is the minimalform equation within ASDG capable of expressing any well-posed dynamical problem. The construction proceeds from five explicit mathematical assumptions—rigged Hilbert space, symplectic-metric-stochastic compatibility, quartic threshold structure, Frobenius closure, and minimality—from which E₇ structure, the 112 dimensions, and the UME are derived. The manifold ℳ₁₁₂ arises via the Ferrara-Sabharwal c-map: the 27-complexdimensional exceptional special Kähler manifold E₇₍₋₂₅₎/(E₆ × U(1)) lifts to the 112-dimensional quaternionic-Kähler Wolf space ℳ₁₁₂ = E₈₍₋₂₄₎/[E₇₍₋₂₅₎ × SU(2)] (EVIII). Because the exceptional input is symmetric, the c-map output is also symmetric—coinciding with the EVIII Wolf space. The 116-dimensional Swann bundle ℰ₁₁₆ = Swann(ℳ₁₁₂) coincides with the minimal nilpotent orbit of E₇. Nielsen-Sarfatti provides the physical mechanism underlying abstract geometric dynamics. The proposals of Hameroff-Penrose (Orch OR), Sarfatti (post-quantum backreaction), Nielsen (topological protection), Fisher (nuclear spin qubits), Kauffman (categorical interface), Stapp (rational collapse), and Tononi (integrated information) each constitute special cases of this unified structure. A central result is what we call ToE-M112: a candidate Theory of Everything.