This document contains the lecture notes for Professor Giorgio Fontana's "Hyperspace for Space Travel", which postulates that localized strong gravitational field, which creates a propagation speed discontinuity in Hyperspace, may allow travel to different local universes or Faster Than Light (FTL) travel within the same local universe.

"The Hyperspace is the natural evolution and symmetry extension of GR space-time. In this paper the Hyperspace is identified with the Euclidean Four-Space of an extended formulation of Euclidean Special Relativity (ESR) and the refracting four-dimensional optical space of 4D. Most of the innovation resides in the interpretation of well-known equations. Results from GR and new original results from ESR have been proposed to enable space travel through the Hyperspace. In the Hyperspace all particles travel at speed c, the new Hyperspace propulsion technologies must only control propagation speed and the direction of travel. The end results are FTL travel and inter-dimensional or proper time travel. Schematization and travel diagrams for the new technology have been introduced." - Prof. Giorgio Fontana