Unifying Quantum Field Theory and General Relativity via a Dimensional Transition Framework

The search for a unified framework that reconciles General Relativity and Quantum Field Theoryremains one of the central challenges of modern theoretical physics [1]. Each theory has proven remarkablysuccessful within its own domain—GR in describing the large-scale structure of spacetime, and QFT inmodeling particle interactions and field dynamics at quantum scales. However, both theories break downunder extreme conditions: General Relativity predicts curvature singularities where its equations ceaseto be well-defined, while QFT exhibits ultraviolet divergences that require external regularization [2, 3].These failures are traditionally treated as independent problems. This paper proposes they may insteadarise from a shared underlying assumption—that the dimensional structure of spacetime is fixed, evenin regimes of extreme energy density or curvature.The paper presents ten formal proofs demonstrating the behavior of modified actions, stress-energytensors, Green’s functions, and radiative processes under χ-driven dimensional transition. We show thatthe framework preserves compatibility with both GR and QFT in their respective low-energy limits,while naturally suppressing divergences in extreme conditions without requiring external cutoffs. Implicationsfor Hawking radiation, early-universe cosmology, and dimensional phase transitions are discussed,and consistency with conservation laws is maintained throughout. This work completes the unificationinitiated in Resolving Singularities and Divergences via Dimensional Transitions in Spacetime Geometryand offers a structurally conservative but physically expansive foundation for continued development inquantum gravity.