To resolve the ultraviolet (UV) divergence and singularity problems that prevent the unification of general relativity and quantum field theory (QFT), this study redefines spacetime as a non-commutative ‘Rough Operator Algebra’ (ROA) space Aα. We demonstrate that the hypothetical graviton of mainstream physics is a perturbative ghost born from a categorical error. We mathematically prove that when the macroscopic spacetime metric gµν converges to a critical point αc of the roughness index α via an algebraic phase transition, the one-dimensional strings of superstring theory are reduced to topological defects, and the surviving residual torsion term ˆ Tres replaces gravitational effects. Furthermore, through the sweeping data of the dynamic behavior of an advanced number-theoretic algorithm (V85 Asymmetric Engine), we present empirical evidence of the isomorphism between algebraic topological space and physical quantum gravitational space.
Seonggil Lee (2026) studied this question.