STCT-Vol12: Topological Repulsion of Wormhole Throats and Holographic Phase Transition of Matter via Golden-Ratio Resonance

This work completes the 12th pillar of the Seonggil Grand Unified Mathematics framework. We propose a novel mechanism for the stabilization of traversable wormholes without the necessity of exotic matter. By introducing the Topological Repulsion Tensor(Tµν) derived from the Roughness Operator Algebra (ROA) at the Critical Threshold αc, we demonstrate that golden-ratio (φ) resonance provides the required negative energy density to prevent throat collapse. Furthermore, we establish the Motivic Cohomology Memory(MCM) framework to describe the holographic phase transition of matter, proving the conservation of consciousness via the first Chern class within a cobordism of dual manifolds.