Mathematical Resolution of the Hubble Tension via Seonggil Theory of Complex Torsion (STCT) and Rough Operator Algebra

The "Hubble Tension" refers to the statistically severe (~ 5σ) discrepancy between the early-universe Hubble constant measured via Planck CMB observations (H0 ≈ 67.4 km/s/Mpc) and late-universe local measurements using Type Ia supernovae (H0 ≈ 73.0 km/s/Mpc). This paper mathematically proves that this tension is not a systematic error within the standard ΛCDM paradigm, but an emergent physical phenomenon caused by the omission of spacetime Complex Torsion. By applying the Seonggil Theory of Complex Torsion (STCT) and Rough Operator Algebra (ROA) to the FLRW metric, we formulate the Cosmological Seonggil Field Equations. We demonstrate that the imaginary phase of complex torsion manifests as a dynamically oscillating dark energy fluid, naturally bridging the expansion rate gap between the recombination epoch and the local universe. High-precision numerical simulations confirm that the STCT model resolves the H0 discrepancy while preserving the well-tested successes of standard cosmology.