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Thursday, July 15, 2010

A Wonderous Wormhole - Honors Geometry Picture Graphing Project

In the field of cosmology and particle physics, the possibility of wormholes is a very mind-boggling and exciting subject. In essence, a wormhole is a hypothetical "shortcut" through spacetime, a theoretical "tunnel" with its end at two different points in spacetime. Even though there has never been any physical/observable evidence of wormholes in physics, there are some solutions to the equations of general relativity that could support wormholes. One possibility for a real wormhole is the Schwarzschild wormhole. However, this was discovered to be too unstable to last long enough to allow any matter to pass through it. Traversable wormholes, wormholes that someone/something could travel through, would only be possible if some type of exotic matter with negative energy density could be used to make it stable.

When I was assigned a project in Honors Geometry to create an image solely by writing equations and graphing them, a wormhole immediately came to mind. I knew that it was going to be a challenge with the many ellipses parabolas, and curves. However, I knew it was something I could do, and wanted to do. I worked on it by hand and on the computer. For the sake of giving due credit, the final picture was graphed and colored with the application GeoGebra.


Some Wormhole Information:
Wormhole Photo: