Using a Kaluza-type of model, describing the laws of electromagnetism within the formalism of differential geometry, provides a coherent, comprehensive and quantitative description of phenomena related to particles, including the values for electroweak coupling constants, a convergent series of quantized particle energies with limits given by the energy values of the electron and the Higgs vacuum expectation value. The geometry of the solutions for spin 1/2 define 6 lepton-like and 6 quark-like entities with their corresponding electric charges and allow an accurate calculation of the magnetic moments of baryons. Electromagnetic and gravitational terms will be linked by a series expansion, the corresponding relation suggests the existence of a cosmological constant in the correct order of magnitude. The model can be expressed ab initio, necessary input parameters are the electromagnetic constants.