The sinusoidal traversable wormhole.

Abstract

In a baby universe or the universe at a very small scale, the geometry of space-time is believed to exist as a foamy structure; a term called quantum foam first suggested by John Wheeler. This final year thesis report explores the properties of a sinusoidal traversable wormhole and attempts to solve for the existence of a safe geodesic on the wormhole that elementary particles are able to move about. The aim of this thesis is to achieve a safe geodesic elementary particles may travel on during the very beginning of the formation of the universe.

In this research I have managed to come out with a periodically safe geodesic which exists for one and a half cycle. This result is sufficient as the topology structure of the 'foamy' wormhole central to this research takes the shape of my sinusoidal wormhole, for half a cycle. For a minimum of one and a half period, the geodesic is guaranteed to be safe as it coils about the outer most region of the sinusoidal traversable wormhole.