Revisiting Lamb Shift Theory through Brownian Motion of the Proton

Abstract

This paper presents a novel theoretical derivation of the Lamb shift in the hydrogen atom, based solely on fundamental constants and the stochastic (Brownian) motion of the proton. Unlike conventional quantum electrodynamics (QED), the proposed approach introduces no experimentally fitted parameters, offering a fully self-consistent explanation grounded entirely in known physical quantities.

I am not able to reproduce the Lamb shift for the Deuterium atom and the 4He+ atom