This paper analyzes structural relationships among electromagnetic constants using standard geometric concepts from bundle and holonomy theory. Relations between electric charge, magnetic flux, the fine-structure constant, vacuum impedance, and Planck’s constant are examined from a geometric perspective. The analysis emphasizes how certain combinations of these quantities can be interpreted in terms of holonomy invariants and conversion factors between dimensionless geometric phases and physical units. The goal is to clarify the geometric structure underlying familiar electromagnetic constants without introducing additional dynamical assumptions.