Cognitional Mechanics Grand Unified Theory Version 2: Operational Separation of Gravity from All Other Interactions and the Structural Resolution of Modern Anomalies

Modern physics is divided into two empirically successful yet theoretically incompatible frameworks: the Standard Model of quantum fields and General Relativity of spacetime geometry. Despite decades of effort, unification attempts have relied on speculative constructs — supersymmetry, extra dimensions, string theory — none of which have been experimentally confirmed. Persistent anomalies, including the muon g-2 discrepancy, electron g-2 measurement inconsistencies, fine-structure constant deviations, and the continued non-detection of dark matter or gravitons, resist explanation within either framework alone. Version 1 of CM-GUT identified a categorical misinterpretation at the root of this impasse: treating gravity as an internally generated interaction rather than as an external operational constraint. By formalizing operational type separation — distinguishing Type I (internal generation) from Type II (external constraint) operations within the algebra M₃(ℂ) — Version 1 provided a unified explanation of the above anomalies as natural consequences of the Type I–Type II interface, without introducing new particles, extra dimensions, or modifications to existing physics. Version 2 advances the foundation on three fronts. First, the Type Separation Principle, declared as an independent axiom in Version 1, is here derived as a theorem from Axioms A1–A4 alone. The external gravitational constraint δt(x)·I lies outside the commutator closure of M₃(ℂ) by a trace identity: every element of the Type I operational closure is traceless, while δt(x)·I carries nonzero trace. The impossibility of quantum gravity follows as a structural necessity, not a phenomenological observation. Second, the axiomatic foundation is fully aligned with the CM standard axiom set A1–A4 and the Noological Tier architecture. Third, the post-Version 1 result that particle ontology is non-essential is integrated as a second independent argument for graviton non-existence: once particles are identified as Tier 3 projections rather than ontological primitives, the graviton concept becomes unavailable prior to any dynamical consideration. Version 2 does not unify the Standard Model and General Relativity as independent theories. It derives both as Tier 3 projections of a single Tier 1 algebraic structure, making unification a consequence rather than a task. The falsifiable predictions of Version 1 are retained and their theoretical grounding is strengthened. Published on April, 9 DOI: 10.5281/zenodo.19485015