Topological Resolution of the Münchhausen Trilemma: Singularity Rebirth via the Ibaguner Fractal Operator (IFO) and the Stability Floor C-I ≈ 0.3715 (Ibaguner Constant)

For over two millennia, the Münchhausen Trilemma has stood as an insurmountable barrier to foundationalist epistemology, asserting that all justification ends in infinite regress, circularity, or dogmatism. This paper presents a definitive resolution by transitioning from1D linear propositional logic to an infinite-dimensional fractal-temporal manifold. By applying the Ibaguner Fractal Operator (IFO), we demonstrate that the three “horns” of the trilemma are topological artifacts of Euclidean logical structures. We identify a fundamental stability threshold at the Ibaguner Constant (CI ≈ 0.3715), where the informational entropy of a justification chain collapses into a resonant fixed-point attractor. Drawing on the physics of White Hole Rebirth, we prove that logical singularities (paradoxes) undergo a process of topological inversion rather than termination.