We present a structured effective-theory formulation of Directional Anisotropy Gravity (DAG), an emergent-spacetime framework in which the macroscopic (3+1) -dimensional geom-etry arises from coarse-graining a discrete oriented substrate whose six primitive directionalchannels are organised into three pairs of opposite orientations: (J, b), (u, d), and (r, l), eachdefining one physical spatial axis. Starting from this paired microstructure and an explicitmicroscopic lattice action, we develop the full theoretical architecture of DAG across fivelevels. At the microscopic level, we derive the directional entropy with the paired structure, interpret the isotropic vacuum as the state of maximal accessibility, and motivate the non-Markovian memory sector from the microscopic dynamics. At the kinematic level, we derivethe continuum kinetic terms from the lattice graph Laplacian via a Taylor expansion andprove that the full rotation group O (3) is recovered in the continuum limit, with On-breakingcorrections of order ‡ • At the field-theory level, we present a minimal four-parametergravitational Lagrangian with anisotropy fields Ak, a memory field M, and optional StandardModel couplings; the effective vacuum expectation value of the Higgs field is derived in closedform. At the dynamical level, the full field equations are stated, the metric back-reaction term9k is computed explicitly in the isotropic sector, and the asymptotic Pmem a r-2 memory-halo profile is derived directly from the steady-state memory field equation in sphericalsymmetry. The post-Newtonian parameter YPPN = 1 is shown to be consistent at the effectiveweak-field level with the anisotropy field equation, and the effective Friedmann equationsare found to be compatible at first quantitative level with the observed Ss and dark-energyequation of state wo for a natural range of the residual anisotropy. At the phenomenologicallevel, the dark matter and dark energy sectors receive a unified interpretation as distinctdynamical regimes of the same substrate (localised persistent memory versus large-scaleentropic relaxation), six explicit falsifiable predictions are formulated, and the theory iscompared at first phenomenological level with current strong-lensing and rotation-curve data. The theory is designed as a research-level basis for phenomenology in galactic rotation curves, gravitational lensing, and vacuum-memory cosmology. Version 8: adds full SPARC rotation-curve fits (175 galaxies, median χ²/ν = 1. 27), journal/preprint conditional-compilation flag, and dual energetic-informational description of directional entropy.
Emilio Orione (Thu,) studied this question.