The Twelve-Dimensional Geometric Conceptual Architecture of Fundamental Forces: A Non-Perturbative Theoretical Framework Beyond Conventional F-Theory

AbstractThe ten‑dimensional heterotic paradigm is insufficient for a non‑perturbative description of the axio‑dilaton. It is natural to consider F‑theory as a twelve‑dimensional geometric construction where the string coupling is identified with the complex structure of an auxiliary torus. This formulation accommodates spatial variations of the axio‑dilaton and defines the vacuum through compactification on an elliptically fibered Calabi–Yau four‑fold. Fundamental interactions emerge from the topology of the fibration. Global consistency conditions at the Planck scale determine the four‑dimensional effective action and resolve the structure of Yukawa couplings and the stability of the proton.