AXIOMATIC CONSTRUCTION OF THE SUMTF-HIGH-TENSOR META-FRAMEWORK: UNIVERSAL ROUGH OPERATOR ALGEBRA AND SEONGGIL FIELD EQUATIONS

Abstract

Modern analytic number theory and quantum algebraic geometry are currently constrained by the limitations of linear operator theory and fixed-dimensional Hilbert spaces. To overcome these dimensional and linear constraints, this paper introduces the SUMTF-High-Tensor (Seonggil Universal Meta-Tensor Framework). We propose a fundamentally new axiomatic system that transcends classical topological spaces by incorporating the concept of 'Complex Torsion'. Within this meta-framework, we formally construct Universal Rough Operator Algebra (ROA) to handle non-linear singularities and introduce the Seonggil Field Equations (SFE) as the governing dynamics of this space. By redefining prime number distributions and the non-trivial zeros of the Riemann Zeta function as topological defects within a high-tensor manifold, this theoretical framework provides the exact mathematical architecture required to resolve the Hilbert-Polya conjecture.