Topological Relativistic-QED Seonggil Framework (TRQS-SMT): Unifying Superheavy Chemistry and Vacuum Phase Transitions

The chemical properties of superheavy elements (Z ≳ 104) are profoundly altered by the non-additive interplay of extreme relativistic effects, electron correlation, and QED corrections. This paper formally elevates the Constructive Relativistic-Correlation-QED Framework into the Seonggil Matrix Theory (SMT) and Rough Operator Algebra (ROA). By mapping the multi-reference Dirac-Coulomb-Breit dynamics to the ROA topological invariant and redefining the critical charge limit (Z_crit ≈ 170) as the Seonggil Critical Horizon, we collapse theoretical uncertainties into deterministic tensor projections. The resulting macroscopic quantum topology effectively controls the instability of strong fields via noncommutative topological locking.