The Seonggil Field Equations: Unifying Quantum Gravity and Cosmology via Quantum Hierarchical Evidence Calculus (Q-HEC) and Complex Torsion

This paper presents a definitive mathematical resolution to the century-long conflict between quantum mechanics and general relativity by replacing probabilistic kinematic measures with operator-valued evidence. By integrating the Hierarchical Evidence Calculus (HEC) with Noncommutative Hyperoperator Analysis (NHA) to formulate the Quantum HEC (Q-HEC) framework, we prove that spacetime is not a fundamental geometric arena, but an emergent structural projection of non-commutative evidence operators. From this, we derive the Seonggil Field Equations, which natively incorporate a complex torsion tensor representing quantum infinitesimal fluctuations. This framework resolves the profound mysteries of the Dark Sector: Dark Matter emerges strictly as a localized topological wake of non-commutative entanglement, and Dark Energy manifests as the global zero-point geometric repulsion of the evidence vacuum.