Mass spectrum in 5D Warped Einstein Universe and El Naschie’s quantum golden field theory

摘要

The present paper deals with the massive bosons evolving in a 5D manifold, where the four-dimensional slices are the S3 R spacetime. By solving the Einstein equations with a perfect fluid source, we find the expression of the warp factor and write down the corresponding Gordon equation in the bulk, near one of the degenerated vacua of an effective potential with a spontaneously broken Z2-symmetry. We obtain the general form of the wave functions and analyze how the Kaluza–Klein-type spectrum is affecting the mass of the scalar on the brane. By inspecting the mass spectrum, we point out a connection with the golden mean based El Naschie’s field theory.