Abstract / Operational Summary Face A: Non-Parametric Mass Variation and Twin Prime Density Coupling This document delivers the definitive, non-parametric "hard" prediction of the EPU (E Pluribus Unum) framework regarding the cosmological variation of fundamental particle masses. Operating under the core axiom that physical mass scales are the structural residues of recursive computation over an 11-dimensional substrate, the model establishes that particle masses are not static constants but dynamic variables linked to their cosmological position. The fractional variation is strictly governed by the exact triadic constant C = 1/160083, coupling mass fluctuations directly to the localized density of twin primes (\rho_{pg}) through the invariant formulation \Delta m/m = - C \cdot \Delta\rho_{pg}/\rho_{pg\_0}. Face B: Observational Spectroscopy, New Particle States, and Cross-Theory Convergence The framework outlines highly specific, falsifiable phenomena across multiple astronomical and experimental scales. It predicts measurable shifts in quasar absorption lines (\Delta\lambda/\lambda) at high redshifts (z > 2), direction-dependent anomalies in the neutron-to-proton mass ratio (m_n/m_p), and a long-term temporal drift in fundamental constants (d(\ln m)/dt \approx -1.4 \times 10^{-23} \text{ s}^{-1}). Furthermore, it maps a higher-level triadic register (11, 13, 17), predicting a new stable multi-quark or heavy hadronic state designated as V_2 at approximately 10.8 \text{ GeV}. This numerical matrix provides the exact mathematical closure linking hadron mass computational residues directly to the third Betti number topology (b_3 = 77) of G_2-manifolds and the IUVLAV dynamical persistence requirements.