A Unified Dissipative Framework: Linking Cosmological Viscosity to Nuclear Binding Energy via Geometric Normalization

A universal dissipative framework is presented, linking cosmological observations with nuclear binding energies through the viscosity parameter η = 0.4182%. Calibration against Pantheon+ data (N = 1590) yields χ²/N = 0.901, which is comparable to the accuracy of the ΛCDM model. The distance metric D(z) = R_H * ln(1+z) * (1 + γ*z) allows for the measurement of cosmological distances in a static Universe without the need for dark energy. The parameter η, derived from cosmology, quantitatively predicts nuclear mass defects (in the range from A = 2 to 238) with a typical median accuracy of 95%, achieving performance comparable to the five-parameter semi-empirical mass formula (SEMF), but using only a single parameter. The scale invariance described in this work spans 41 orders of magnitude — from femtometer scales (10⁻¹⁵ m) to the Hubble radius (10²⁶ m). Furthermore, the proposed model naturally explains the anomalously bright galaxies at high redshifts discovered by the JWST, without requiring exotic astrophysical mechanisms.