Triadic Architecture, Coherence Dynamics, and the Emergence of Physical Law

Modern physics is fragmented: quantum mechanics, general relativity, thermodynamics, and biologyeach speak a different mathematical language, and no common architecture connects them. This paperintroduces the Triality framework, a unified theoretical architecture built on a single organizingprinciple — triadic structure. Three tiers (the Triadic Node, the Polar Shifting Flux, and the GlobalSovereign Axis — the 3-6-9 architecture) generate, through correlation dynamics and coherencethresholds, the phenomena physics currently treats as separate: quantum behavior, gravitational law,the Standard Model's gauge structure, cosmological observations, biological homeostasis, and thedesign principles for post-binary computation.The framework is presented with its mathematical formalism, its emergence derivations, its biologicaland technological applications, and — most importantly — its falsifiable predictions. Every majorclaim carries a stated falsifier. What is derived is labeled derived; what is posited is labeled posited;what is open is labeled open. This paper is the foundation; companion papers test its predictions inspecific domains.