The Zimmerman Theory of Gravity

The acceleration scale a0 = 9.36e-11 m/s^2 that governs galaxy dynamics is proposed to be set by the cosmological constant: a0 = c^2 sqrt(Lambda/32pi) = (c/2) sqrt(G rho_Lambda) = c H_Lambda / Z, Z = sqrt(32pi/3) = 5.789, on the dark-energy density alone. The paper assembles the empirical confrontation (RAR, BTFR and deep-MOND relations agree to 8% at this a0; the rising a0 ~ cH rival is excluded; the LCDM-impossible External Field Effect leans the predicted way) and the theoretical foundation (the deep-MOND shape is derived = Milgrom de Sitter-Unruh modified inertia; a0's existence is volume-law-free; the galaxy-scale sign is forced by a computed DSSYK kernel that also predicts the cluster failure; the value of Lambda is welded to a0 as one Cohen-Kaplan-Nelson seesaw; the evolving dark energy is string-swampland-compatible where LCDM is forbidden). Limits stated plainly: the O(1) coefficient is a posit, the covariant completion is unwritten, and this is a theory of gravity and the dark sector, not a theory of everything. The distinctive falsifiable prediction is a0(z=3) = 0.74 a0(0), testable with ELT-class spectroscopy.