WILL Relational Geometry

Topological Extraction of the Fine Structure Constant

Slide to observe how the interaction strength deforms the phase structure on the S¹ manifold.

Geometric Projections

Total Topological Scale (ν_C) 1.0000
Kinematic Capacity (ν_C · α) 0.5000
Structural Phase (ν_C√(1-α²)) 0.8660
Lyman Limit Deficit (ν_L∞) 0.1340

Geometry of Emission: The Lyman limit frequency (ν_L∞) is not a separate constant. It is strictly the sagitta (the geometric gap) on the vertical phase axis.

By extracting this observable gap, the fundamental projection α is derived via the Pythagorean root, eliminating the need for empirical mass parameters.