A new mathematical framework for gravity removes the infinite values that have broken our understanding of the universe for eighty years.
Combining gravity with quantum mechanics usually results in equations that spit out infinity as an answer, which is physically impossible. This new formulation approaches the problem from null infinity, the distant edge where light rays end up. By looking at the problem from this perspective, the math becomes finite at every single step of the calculation. This removes the need for renormalization, the mathematical patchwork physicists usually use to hide the infinities. If this holds up, it could be the first consistent bridge between the physics of the very large and the very small. It suggests the universe is much more mathematically elegant than we previously thought.
Ultraviolet-Finite Perturbative Expansion of Quantum Gravity at Null Infinity
arXiv · 2605.06001
We present a perturbative formulation of quantum gravity for asymptotically flat vacuum spacetimes based on the Null Surface Formulation (NSF), in which the expansion is ultraviolet-finite term by term up to the orders computed, without the need for renormalization. The outgoing Bondi shear operators are constructed explicitly up to fourth order, with interaction kernels determined recursively from on-shell gravitational data at null infinity. Ultraviolet finiteness at each order follows from th