An Exact Geometric Identity for the Fine Structure Constant: A Relativistic Analogue of the Bohr Model

Key Points

• The aim is to establish a geometric identity that relates electromagnetic and quantum energies in a helical framework.
• Developed the geometric identity in the context of relativistic principles.
• Explored connections to the fine structure constant through theoretical derivations.
• The derived identity shows a clear linkage between electromagnetic energy and quantum energy.
• Demonstrates implications for understanding the fine structure constant in helical geometry.