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Quantum-Algebraic Extended Structural Uncertainty Theory (QA-ESUT)_A Grand Unification via Seonggil Universal Operator Algebra

Seonggil Lee

Published Sep 24, 2026• 0 citations
Publisher

Abstract

This paper presents the Quantum-Algebraic Extended Structural Uncertainty Theory (QA-ESUT), a monumental framework that transcends the deterministic limits of classical probability and structural causal models. By fusing Judea Pearl’s do-calculus with Seonggil’s Rough Operator Algebra (ROA) and Complex Torsion Theory, we redefine structural uncertainty not as a mere observational artifact, but as a dynamic, topologically bounded predictive distribution governed by non-commutative operations in prime-discrete and quantum spaces.

DOI
10.5281/zenodo.22935009

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This paper presents the Quantum-Algebraic Extended Structural Uncertainty Theory (QA-ESUT), a monumental framework that transcends the deterministic limits of classical probability and structural causal models. By fusing Judea Pearl’s do-calculus with Seonggil’s Rough Operator Algebra (ROA) and Complex Torsion Theory, we redefine structural uncertainty not as a mere observational artifact, but as a dynamic, topologically bounded predictive distribution governed by non-commutative operations in prime-discrete and quantum spaces.
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The fundamental precision limits in quantum sensing—dictated by the Standard Quantum Limit (SQL), multi-parameter incompatibility [2], and Markovian decoherence [1]—are deductively subsumed and algebraically elevated using the Seonggil Theory of Composite Torsion (STCT) and UROA. By redefining parameter estimation processes as trajectories within an 8-Dimensional Non-commutative Tensor Space, classical noise boundaries are topologically shielded. This framework rigorously yields robust Super-Heisenberg scaling and enables simultaneous optimal multi-parameter observability.
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