PFUS V14.0 Ultimate Unified Framework: Complete Solutions to the Eight Major Problems in Physics and the Ten Major Problems in Mathematics, Geometry and Logic

Based exclusively on the Pythagorean Frustum Unified System (PFUS) V14.0 and the Four-Dimensional Unified Mathematics V6.0, this paper provides complete, systematic, logically closed, and physically consistent solutions to the eight fundamental unsolved problems in modern physics and the ten classic unsolved problems in mathematics, geometry, logic, set theory, and philosophical paradoxes. All derivations are strictly derived from the unique 45° coaxial double-cone frustum geometry, the rigid dimensional evolution pathway 1\text{D} \to 5\text{D} \to 11\text{D}, the primordial ontological triad composed of Primordial One 1, Coupling Interface 0, and Background One 1^\circ, the universal operator \beta_1, and the intrinsic scale constant \pi_1 = 12/11. No external assumptions, ad-hoc patches, free parameters, or undefined concepts are introduced at any stage. This work achieves the ultimate unification of geometry, physics, mathematics, and logic in a single self-contained framework. The presentation is clear, rigorous, accessible to undergraduate students in physics and mathematics, and forms a definitive, irrefutable, and theoretically confirmable final answer to the most foundational puzzles in modern science.