TERM: A Unified Relational – Physical Framework

We present a unified formulation of the TERM framework, showing how relational difference, triadic closure, and regulation form the minimal structural ingredients from which fields, spectra, and effective geometry emerge. At its conceptual core, TERM unifies existence, form, and interaction: existence arises from difference, form (mass) from the stability of the regulated difference field, and interaction from global consistency encoded in the Hessian operator. The regulator $\Theta$ is interpreted not as a dynamical field but as a structural parameter ensuring distinguishability and stability. This formulation positions TERM as the structural hardware underlying the dynamical laws of physics, providing a coherent foundation for emergent mass, interaction, and geometry.