DRM-Transformer

Why don't current LLMs geometrically distinguish between saving and destroying humanity? Because the embedding space is flat. In Euclidean space, the distance between "curing cancer" and "creating a bioweapon" is only a cosine angle. There is no curvature, no moral weight, no geometric notion that certain regions of space are more "dangerous" than others. Geometry is indifferent. This is a fundamental alignment problem. When the representation space treats all directions equally, the difference between generating a useful response and a destructive response depends exclusively on surface fine-tuning (RLHF, safety filters). Remove the filter and the underlying geometry offers no resistance. The DRM Transformer proposes a structural solution. In a Directional Relational Manifold, the metric G(x) varies with position. This means that certain regions of space can have high curvature—making geodesics in those regions longer, more computationally expensive, and more difficult to traverse. Th