The aim is to derive the fine-structure constant using geometric principles and to discuss the periodic table's structural limitations.
Mechanical derivation of the fine-structure constant
Analysis of manifold coupling ratios
Examination of the periodic table's structure
Derived fine-structure constant as a manifold coupling ratio
Identified structural failure of the periodic table
Proposed resolution limits in 3D manifold representation
Abstract
Provides a mechanical derivation of the fine-structure constant as a manifold coupling ratio and identifies the end of the periodic table as a structural failure of 3D manifold resolution.