In this course we will explore the state of the art of Traversable Wormholes. The implementation of faster-than-light (FTL) interstellar travel via traversablewormholes generally requires the engineering of spacetime into veryspecialized local geometries. The analysis of these via Einstein's GeneralTheory of Relativity, plus the resultant equations of state, demonstrates thatsuch geometries require the use of "exotic" matter.

It has been claimed that since such matter violates the energy conditions, FTL spacetimes are notplausible.

However,it has been shown that this is a spurious issue. Theidentification and production of exotic matter are seen to be a key technical challenge. These issues are reviewed and summarized here, andan assessment on the present state of their resolution is provided.

Wormholes are consistent with the general theory of relativity, but whether wormholes actually exist remains to be seen. Many scientists postulate that wormholes are merely projections of a fourth spatial dimension, analogous to how a two-dimensional (2D) being could experience only part of a three-dimensional (3D) object.

Theoretically, a wormhole might connect extremely long distances such as a billion light years, or short distances such as a few meters, or different points in time, or even different universes.