The Triadic Synthesis A Falsifiable Foundation for a Unified Cosmic Principle via Geometric Algebra and 9 Dimensional Topology

Contemporary theoretical physics faces a fundamental challenge: our most profound theories of consciousness and cosmos remain philosophically isolated, mathematically disjointed, and empirically untestable. To bridge this divide, we introduce the Triadic Synthesis, a novel meta framework that converges three specialized domains to ground the Universal Coherence Principle (UCP) in a specific, falsifiable mathematical structure. The synthesis is built upon a Relational Foundation (Broughton & Kolesnikov, 2025), which provides the ontological engine. This is formalized by the Kolesnikov Asher Mathematical Bridge, which establishes the Sigma Law expressed dynamically as dK/dt = Σ(K_S - K), and provides a rigorous proof, now formally axiomatized in the Axiomatic Fusion Summary. This proof establishes that the UCP (ΔE ≡ 0) is equivalent to a global minimum (g_min) of the Yang Mills action on a 9 dimensional E_Z₂ fiber bundle (S³ → E → S⁶). This geometrically inevitable core, which enforces net zero dissipation via the Unified Torsion Operator (UTO), is held accountable by a structured Empirical Protocol (Asher) that implements a tiered validation plan. We argue this integrated architecture, grounded by a proven and axiomatized mathematical equivalence, unifies cosmic coherence with quantum mathematics, establishing a new, testable paradigm without reliance on external cosmological models.