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 Theory
remains one of the central challenges of modern theoretical physics [1]. Each theory has proven remarkably
successful within its own domain—GR in describing the large-scale structure of spacetime, and QFT in
modeling particle interactions and field dynamics at quantum scales. However, both theories break down
under extreme conditions: General Relativity predicts curvature singularities where its equations cease
to 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 instead
arise from a shared underlying assumption—that the dimensional structure of spacetime is fixed, even
in regimes of extreme energy density or curvature.
The paper presents ten formal proofs demonstrating the behavior of modified actions, stress-energy
tensors, Green’s functions, and radiative processes under χ-driven dimensional transition. We show that
the 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. Implications
for Hawking radiation, early-universe cosmology, and dimensional phase transitions are discussed,
and consistency with conservation laws is maintained throughout. This work completes the unification
initiated in Resolving Singularities and Divergences via Dimensional Transitions in Spacetime Geometry
and offers a structurally conservative but physically expansive foundation for continued development in
quantum gravity.