A Phenomenological Model of Flux-Modulated Gauge Coupling in Warped IIB Compactifications

Inspired by string theory and high-dimensional unified field theory, this paper extends the theoretical framework toward concreteness and quantification, establishing a rigorously computable correspondence between high-dimensional topological structures and low-dimensional observables. We propose a phenomenological relation that connects the gauge coupling constant to topological flux. Based on 10-dimensional type IIB string theory, we construct a 4-dimensional effective unified field model via warped flux compactification on T⁶/ℤ₃. The model employs the standard 10-dimensional Green–Schwarz anomaly cancellation mechanism to ensure quantum consistency, achieves moduli stabilization through the KKLT paradigm combining the GVW flux superpotential and D7-brane gaugino condensation, and explores approaches to the gauge hierarchy problem using warped geometry. This work maintains a unified 10D type IIB framework throughout, organizing geometric and dynamical structures to form a self-consistent string phenomenological model. The core "topological flux–gauge coupling unification relation" is presented as a phenomenological ansatz, whose microscopic origin deserves further investigation. The model satisfies standard criteria in high-energy physics and differential geometry and is suitable for peer review as an exploratory study.