The_Law_Statement
Abstract
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.
Fields of Study & Subjects
Quasicrystal Structures and Properties
Quantum many-body systems
Topological Materials and Phenomena
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 6 January 2026
- Language
- EN