Akeelium (Z = 135): A Structural Prediction from a Unified Digital–Geometric Framework

This work presents a unified digital–geometric structural framework for analyzingstability, quantization, and wave–particle behavior across physical scales.Using a discrete lattice with local admissibility rules, the framework moves beyondretrospective explanation toward predictive application. A digital stability scanner is introduced and applied to the superheavy regime,revealing robust structural minima that persist under variations in geometry,numerical base, and defect penalty.A defect-free closure at atomic number $Z=135$ is identified and denoted asAkeelium, representing a candidate higher-order structural island of stability. Comparative structural analysis explains the extreme instability of experimentallysynthesized superheavy elements such as Oganesson ($Z=118$) in terms of localizedgeometric defects rather than energetic insufficiency.In parallel, unified propagation simulations demonstrate that diffraction andinterference emerge naturally from the same local structural rules, without invokingseparate wave equations. The results suggest that stability, quantization, and wave-like phenomena may beunderstood as consequences of structural admissibility and closure, offering apredictive and testable perspective on long-standing physical regularities.