A computation of the electron mass is found utilizing a generalized holographic approach in terms of quantum electromagnetic vacuum fluctuations. The solution gives a clear insight into the structure of the hydrogen Bohr atom, in terms of the electron cloud and its relationship to the proton and the Planck scale vacuum fluctuations. Our electron mass solution is in agreement with the measured CODATA (Committee on Data of the International Council for Science) 2014 value. As a result, an elucidation of the source of the fine structure constant, the Rydberg constant and the proton-to-electron mass ratio is determined to be in terms of vacuum energy interacting at the Planck scale.