Unified Primitive Theory (UPT)

Unified Primitive Theory (UPT) is a foundational framework in theoretical physics that replaces the traditional separation between geometry and matter with a single primitive relation. Instead of treating curvature and stress–energy as independent entities, UPT defines a structural identity that collapses this duality and reconstructs physical behavior from one generative primitive. UPT introduces a primitive relation P(D_i,D_j) that produces the torsion-like transformation T(D_i,D_j), establishing a unified mechanism underlying gravitational, inertial, and structural phenomena. This approach reframes classical and relativistic physics as emergent projections of a deeper, primitive-level architecture. The paper presents the formal definition of the primitive, its transformation rules, and the structural consequences of eliminating the geometry–matter split. UPT provides a compact, upstream foundation for understanding curvature, mass, energy, and physical interaction as expressions of a single underlying relation. This work is part of a broader research program developing explicit, generative architectures for physics, reasoning, and cognition.