A Unified Dissipative Vacuum Framework: From Cosmological Redshift to Nuclear Binding

We present a unified dissipative framework that connects cosmological observations to nuclear binding energies through a single dimensionless parameter eta = 0.4182%, interpreted as the viscosity of a vacuum substrate. Calibrating the optico-hydrodynamic vacuum (OHV) distance metric D(z) = R_H * ln(1+z) * (1 + gamma * z) on the Pantheon+ Type Ia supernova sample (N = 1590, z > 0.01) yields chi^2/N = 0.901, statistically comparable to flat Lambda-CDM (chi^2/N = 0.884). The resulting parameters (R_H = 4146.8 Mpc, gamma = 0.583) imply a characteristic viscosity eta = 0.4182%. Remarkably, this cosmologically-derived parameter, without any adjustment to nuclear data, predicts nuclear binding energies across the periodic table through three-dimensional geometric normalization: BE(A) = eta * A * m_u * sqrt(3) * S(A). Testing on stable isotopes from NIST yields a mean fractional prediction error of just 3.67% (average accuracy 96.3%) for medium and heavy nuclei (A >= 20), performing comparably to the highly optimized Semi-Empirical Mass Formula despite utilizing zero nuclear-fitted parameters. This result suggests a scale-invariant dissipative mechanism linking photon propagation at gigaparsec scales to energy localization at nuclear scales (~ 10^-15 m), spanning 41 orders of magnitude. We discuss the physical interpretation, limitations, and falsifiable predictions of the framework.