  According to our microscopic cosmological model, masses of charged leptons
can be calculated by curvatures of hyper-spherical surfaces embedded in a 3D
time-like subspace. In this study, a higher-dimensional Lagrangian
representation is applied to the bi-cylindrical dynamical geometry. A
four-component scalar field is assumed to serve as the gauge transformers in
the linearly factorized 4D space-time for inducing lepton mass. The consistency
of the general relativity approach with quantum field theories is discussed.
