Abstract
The purpose of this this thesis is to investigate Kaluza-Klein theory, the history of extra dimensions, and provide a tool to those who want to learn about how they are being used today. In doing so, a re-derivation of the bulk of the theory was carried out because much of the original nomenclature and conventions are not common anymore, creating a barrier to those wanting to learn about it. The re-derivation includes Theodore Kaluza’s 1921 paper where he lays out the impetus for expanding the foundations of General Relativity to include an extra dimension of space, and one of Oskar Klein’s 1926 papers that answers the problem of the cylinder condition in Kaluza’s theory. Additional sections are provided to introduce tensor mathematics and Riemann Normal Coordinates, the coordinate system used throughout Kaluza’s derivation. The final chapter describes how extra dimensions are used in theories today and how experiments are being used to search for evidence of them.