Weather forecast for vacuum fluctuations in QED

We provide closed analytic expressions for the Uehling and Serber contributions of the vacuum fluctuations in QED using Meijer G-functions. Our work extends recently found results by offering a novel formulation for the Uehling and Serber potentials and explores their properties in more detail. The form of these potentials is analyzed, and their relevance for precision measurements in experiments is investigated. For the Uehling potential, we connect the solution with the propagation of photons through atmospheric turbulence. • Deriving expressions for the Uehling and the Serber potential via Meijer G-functions. • Comparing the shift in energy levels with results that align with experimental data. • Relating the Uehling potential with photon propagation in turbulent environments. • Discussing observable effects from the Uehling and the Serber contribution. • Deriving novel mathematical relations for Meijer G-functions.