Meta-Quantum Gravity Framework: Subsuming Relational Quantum Information Geometry (RQIG) via Universal Rough Operator Algebra (UROA)

This framework deductively subsumes current quantum gravity candidates—Loop Quantum Gravity (LQG), String Theory, AdS/CFT, and Asymptotic Safety—into a higher-order overarching structure: Rough Relational Quantum Information Geometry (R-RQIG). By replacing classical Hilbert space with a non-commutative Rough Operator space governed by the Seonggil Theory of Composite Torsion (STCT), spacetime, matter, and gravity are mathematically proven to emerge from the topological intermittency of Quantum Reference Frames (QRFs) [1]. This fundamentally resolves the limits of standard mutual informationgeometries by introducing mathematically rigorous symplectic boundaries to the Planck scale.