Rédiger un PREreview

Quantum gravity aims to reconcile general relativity, which governs the macroscopic dynamics of spacetime, with quantum mechanics, which describes matter and interactions on microscopic scales. The tension between the background-independent, deterministic framework of general relativity and the background-dependent, probabilistic nature of quantum mechanics underscores the need for a unified theoretical description. Although several major theories have been developed, most notably string theory and loop quantum gravity, no fully consistent and experimentally validated theory of quantum gravity has yet emerged. A successful formulation is expected to illuminate the fundamental structure of spacetime and provide resolutions to singular phenomena such as those inside black holes and at the Big Bang. In this article, a unifying quantum theory of gravity is presented through the quantization of the double cover of the Lorentz group. In this framework, particles in the fundamental representation correspond to fermionic matter, while gauge fields in the adjoint representation carry quantum energy–momentum and encode spacetime curvature, thereby playing the role of the gravitational field. Classical general relativity arises as an effective field theory within this formulation. The resulting theory is renormalizable, free of singularities, and capable of describing black hole and Big Bang dynamics.