Triadic Constraint and Emergent Stability: A Meta-Theoretical Framework in Philosophy of Physics _The Singularity–Duality–Triality Framework_

We propose the Singularity–Duality–Triality (S-D-T) framework, a constrained meta-theoretical heuristic for characterizing systems in which stable higher-order organization emerges through mediation between competing dynamical structures, not a first-order physical theory. The framework addresses a question with roots in wave-particle complementarity: whether process-first descriptions reveal structural constraints that object-first descriptions systematically miss. Just as treating a photon as an interfering wavefunction rather than a particle reveals interference structure the particle description cannot access—a methodological rather than physical parallel—S-D-T proposes that treating a system's organization as a generative process reveals the mediating constraint responsible for its stability—a reframing the framework is proposed to extend across physical, biological, and informational domains. Three contributions follow: (i) a formal definition of Triality with exclusion criteria and an operational novelty test; (ii) a framework-level falsification condition (F0) with pre-specification requirements; and (iii) the SAF (Stability–Adaptability–Functionality) Coherence Index, a domain-agnostic composite metric derived from the triadic grammar. A minimal dynamical model demonstrates that triadic stabilization is non-reducible to parameter variation within the dual system. The framework's validity depends on whether triadic mediation proves necessary in systems meeting the specified criteria.