Finite Decomposition Principle: YA Structural Foundation for Fundamental Physics

We present the Principle of Finite Decomposition (PFD) as a structural foundation for analyzing physical systems. The principle states: any describable system admits decomposition into afinite number of independent components at any given resolution. Applied to physics, this yields the DGD framework—separation into Order (what states exist), Geometry (magnitudes and distances), and Dynamics (what follows).From this separation, a complementarity relation emerges: observable channels must sum to unity, and deficits reveal hidden channels. For gravitational decoherence in the Diósi-Penrose model, coherence decay and anomalous heating satisfy Γcoh/Γ0 + Dvar/D0 = 1 for measurement quadrature Xθ = x cos θ + p sin θ. The parameter-independent signature τ(45)/τ(0) = 2 provides a direct falsification criterion. A literature survey of 245 sources finds no experiment measuring decoherence at θ ̸= 0; the prediction is untested.We show that two independent lines of inquiry—holographic duality in gauge/gravity correspondence and model taxonomy in philosophy of physics—converge on the same tripartite structure, providing independent support for the framework.