Toward a Teleparallel Quantum Field Theory of Gravity

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Abstract

We revisit quantum field theory in curved spacetime (QFTCS) as a semi-classical framework for quantum matter on classical geometries, emphasizing its limitations, including vacuum ambiguity and background dependence. We briefly review major approaches to quantum gravity–Loop Quantum Gravity (QG–LQG), string theory, and asymptotic safety and highlight their conceptual challenges. Motivated by these issues, we develop a teleparallel formulation based on coframe and spin-connection quantities, where gravity is encoded in torsion rather than curvature. This framework naturally incorporates local Lorentz symmetry and fermionic couplings while exhibiting a gauge-like structure. We argue that the coframe/spin-connection pair provides a more fundamental description of spacetime geometry and may offer a promising route toward a consistent theory of QG.

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