Quantum-Algebraic Effective Structural Number Theory (QA-ESNT)_Unification via Universal Rough Operator Algebra and Complex Torsion

This paper establishes the Quantum-Algebraic Effective Structural Number Theory (QA-ESNT), a definitive framework that overcomes the foundational incompleteness, non-constructibility, and topological gaps of classical number theory. By integrating structural algorithmic epistemology with Seonggil's Rough Operator Algebra and Complex Torsion Theory, integers and primes are redefined as explicit structural complexes governed by finite thermodynamic-algorithmic bounds and topological torsion fields.