Spatial Interpretation of the Stability Characteristics of Cu, Ag and Ru Isotopes within the Symmetric Skeleton Structure Approach

In this article, the stability characteristics of the isotope chains of Cu (Z=29), Ag (Z=47), and Ru (Z=44) are interpreted within a spatial framework based on the Symmetric Skeleton Structure (SSS) approach. The proposed approach is not presented as an alternative nuclear theory; rather, it aims to provide a graphical and structural interpretation of empirically known nuclear stability results from the perspective of spatial symmetry. A comparative structural analysis is conducted across the neutron-deficient zone, the stability interval zone, and the neutron-excess zone. In Cu and Ag, the stability interval is narrow, whereas in Ru a broader stable region is observed. This difference is interpreted in relation to the degree of spatial symmetry. The disruption of structural harmony and the alteration of equatorial neutron distribution are presented as visual interpretations of the transition to radioactivity. The results indicate that the gradual deformation of the symmetric skeletal configuration of the nucleus corresponds to the boundaries of the stability domain. The SSS approach is proposed as an interpretative framework that clarifies the results of existing nuclear models within a spatial-structural context and opens perspectives for future vector-based mathematical modeling.