Directional Anisotropy Gravity v10: A Speculative Programme for Standard Model-Like Gauge Structure from Substrate Symmetry

We extend Directional Anisotropy Gravity (DAG v9) by promoting its six real directional weights to an eighteen-channel complex substrate field ψ₊, ₒ, ₂ (axis k=1, 2, 3; direction s=±; colour c=1, 2, 3) and explore whether this extension is structurally compatible with Standard Model gauge organisation. This paper is a speculative research programme, not a completed derivation. The central observation — the Axis-Pair Doublet Hypothesis — is that the index structure of ψ₊, ₒ, ₂ is compatible with arranging fields into representations of U (1) Y × SU (2) L × SU (3) c. This is a structural correspondence, not a proof: the hypercharge assignments are assumed from the Standard Model; the automorphism-group identification is conjectural; and the three-generation count is a structural hypothesis. What is mathematically established is the standard anomaly cancellation A₁–A₆ = 0 for the assumed Standard Model fermion content, and the standard electroweak mass formulas reproduced by inserting standard input values. These results belong to the Standard Model; DAG provides a possible geometric motivation for the index structure, no more. A new appendix (Steps 1–4) presents four structured steps: two proved propositions and two heuristic hypotheses toward closing the gap — a uniqueness result for hypercharges given one normalisation; a structural chirality-compatibility result; and a formal argument that kink fluctuations satisfy a Dirac-like equation at long wavelengths. Each result states its scope and remaining gaps explicitly. Speculative extensions to cosmogony, inflation, matter–antimatter asymmetry, and a classification of fundamental constants are included and clearly labelled throughout. DAG v10 does not replace DAG v9; all gravitational and phenomenological results of v9 stand unchanged. This paper maps the next level of the research programme.