Theory S: Derivation of the Fine-Structure Constant from the Oscillatory Structure of Time

This article presents a novel derivation of the fine-structure constant (α) based on the foundational principles of Theory S, a model that treats time as an oscillatory field with elastic (κ) and phase (φ) components. By exploring the geometric structure of time in a six-dimensional state space, we show that α emerges naturally from the dynamical interplay between internal temporal oscillations. The approach avoids fine-tuning, connects to the Planck scale, and reproduces the observed numerical value of α within theoretical uncertainty. This result strengthens the predictive power of Theory S and opens a path toward a unified description of space, time, and interaction constants.