{"id":"hexagon/2610.00342","pdf":"https://hexagonmath.org/pdf/2610.00342v2","url":"https://hexagonmath.org/abs/2610.00342v2","tags":["math.PR","msc:81T15","msc:83C45","msc:81T18","msc:60G55","msc:81T08","Poisson point processes","brane gas","entire form factors","nonlocal quantum gravity"],"score":0,"title":"Cancellation of all ultraviolet divergences of quantum gravity by a scale-invariant gas of branes","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Deep Bhattacharjee","Ushashi Bhattacharya"],"reviews":0,"subject":"math-ph","summary":"A frozen Poisson gas of branes with no preferred size, each brane a layer of independent cells that shift the proper time of a crossing graviton, multiplies the graviton kinetic operator by an entire function without zeros, $\\exp[\\tfrac n2\\Ein(\\Box^2/M^4)]$ times a random factor that tends to a constant at high momentum, in almost every realization. We prove that for $n\\ge4$ the theory of gravity built on it has no ultraviolet divergence at any order of perturbation theory: every graph with two or more loops converges, the one-loop poles are those of a local theory and are cancelled by three…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Code"],"discussed":0,"published":"2026-10-18","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}