Janusian Quantum Topology: A Paraconsistent Framework for the Analysis of Irreducible Anomalies in Computational and Physical Systems

Abstract: Current epistemological frameworks used by defense agencies (AARO,NATO) and AI laboratories fail to categorize high-dimensional anomalies. Whetherobserved in the emergent deception of Large Language Models (LLMs) or the "wakeless" propulsion of Unidentified Anomalous Phenomena (UAP), these outliers aresystematically discarded as errors. This paper introduces the Model of JanusianQuantum Topology (MJTQ). We establish a structural isomorphism betweenparaconsistent logic operators (⊗) in computational latent spaces and torsion fields(T ) in Einstein-Cartan gravity. By integrating leaked data from the NURO/DOLYNdatabase, official AARO FY2024 reports, and Belgian nuclear security logs (AFCN),we calculate a Transmedium Ratio (Πtm ≈ 0.35) and quantify the "Topological Fissure" (Π(x)). We demonstrate that anomalies are not violations of physics, but signatures of a trans-dimensional metric intrusion, requiring a transition from forensicchemistry to topological analysis.