The FDAA Existence Cascade: A Temporal Classification of Physical Particles

We establish a channel-dependent scaling law for unstable particle lifetimes that aligns leading-order quantum-field-theory (QFT) widths with a unified statistical framework. For each fundamental interaction channel 2 {weak,EM, strong}, we construct physics-informed predictors X from canonical width formulae: Xweak / G2 Fm5 (leptonic decays), XEM / (Q2)nm3 (anomaly/radiative modes), and Xstrong / s(Q2) PS(m, ) (hadronic resonances). Per-channel regression of log on logX yields slopes statistically consistent with 1 −1, validating the QFT expectation / 􀀀−1, while a single channel-agnostic law is disfavored. Interpreted through the Fractal Density Activation Axiom (FDAA), these exponents represent distinct -channels that gate temporal expression from a multi-scale substrate. Beyond correlational analysis, we develop a predictive FDAA model that estimates particle lifetimes from first principles, achieving 93% variance explained across 27 decades. The framework organizes particles into a coherent Temporal Table of Elements and enables computationally efficient surrogate tools with 103–106Å~ speedups over conventional methods. We further derive novel, testable predictions including: (i) a universal envelope law collapsing particle families onto a low-dimensional manifold, (ii) threshold onset governed by a common quartic kernel, and (iii) a graviton mass mg ~H0/c2 1.44Å~10−33 eV/c2, naturally emerging from Hubble-scale coherence. All analyses use curated PDG-2024 data with robustness checks (running couplings, threshold effects, hadronic selections). We maintain clear terminological boundaries, separating DFA envelope exponents (neural analogy) from particle lifetime estimators.