Bak, Sang-EonSang-EonBakParikh, MaulikMaulikParikhSarkar, SudiptaSudiptaSarkarSetti, FrancescoFrancescoSetti2025-08-222025-08-222023-12-012331-8422https://doi.org/10.48550/arXiv.2312.17214http://repository.iitgn.ac.in/handle/IITG2025/18538We consider a congruence of null geodesics in the presence of a quantized spacetime metric. The coupling to a quantum metric induces fluctuations in the congruence; we calculate the change in the area of a pencil of geodesics induced by such fluctuations. For the gravitational field in its vacuum state, we find that quantum gravity contributes a correction to the null Raychaudhuri equation which is of the same sign as the classical terms. We thus derive a quantum-gravitational focusing theorem valid for linearized quantum gravityen-USe-Printe-Print123456789/615