2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176138Gravitoelectromagnetic inflation was recently introduced to describe, in an unified manner, electromagnetic, gravitatory and inflaton fields in the early (accelerated) inflationary universe from a 5D vacuum state. In this paper, we study a stochastic treatment for the gravitoelectromagnetic components $A_B=(A_μ,ϕ)$, on cosmological scales. We focus our study on the seed magnetic fields on super Hubble scales, which could play an important role in large scale structure formation of the universe.final version published in Phys. Lett. BGeneral Relativity and Quantum CosmologyAstrophysicstext