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

Abstract

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, 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, whose cross-domain coherence-ratio approach finds independent methodological support in AlShehail’s [109] pre-registered validation of a structurally analogous metric across neural and symbolic domains. A minimal dynamical model demonstrates that triadic stabilization is non-reducible to parameter variation within the dual system. As secondary illustration, the framework is consistent with near-maximal leptonic CP violation (|δCP | ≈ π/2), testable by DUNE and Hyper-Kamiokande. Its validity depends on whether triadic mediation proves necessary in systems meeting the specified criteria.

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