A Geometrical Determination of the Fine-Structure Constant

Can one of physics’ greatest mysteries be explained through geometry?

In A Geometrical Determination of the Fine-Structure Constant, Gerald W. Scanlon investigates the possibility that the fine-structure constant—approximately 1/137—may emerge from an underlying geometrical structure embedded within the universe itself.

The fine-structure constant governs the strength of the electromagnetic interaction and appears throughout physics, from atomic structure to the behavior of light and matter. Yet despite its importance, its origin remains unknown.

This book introduces a geometrical framework based on structured numerical relationships and multidimensional forms. By combining geometry, symmetry, and coordinate-based constructions, the model develops a calculation that closely approximates the experimentally measured value of the fine-structure constant.

The framework explores:

• Geometrical representations of multidimensional structures
• Numerical relationships involving powers and spatial organization
• Coordinate mappings connected to the number 137
• Symmetry and proportional structure in physical systems
• A conceptual bridge between mathematics and physical law

Through detailed diagrams and visual constructions, the book proposes that the fine-structure constant may reflect a deeper organization present at the foundation of reality.

Inside the Book

• A geometrical derivation related to the fine-structure constant
• Structured multidimensional mappings
• Coordinate-based geometrical systems
• Numerical symmetry involving the number 137
• Visual representations linking geometry and physics

This work is exploratory in nature and is intended to present conceptual relationships between geometry, number, and the physical universe.

If the constants of nature emerge from structure itself, then geometry may hold the key to understanding why the universe behaves the way it does.