Category: Physics

The Link Between Complex Numbers and Vectors
Vectors came from Quaternions Before vectors, there were quaternions. Quaternions are the next step after complex numbers from real numbers. A complex number may be written as $$z = x + \hat{i} y$$ Where $$\hat{i} = – 1$$ A quaternion may be written as $$q = w + \hat{i}x + \hat{j} y + \hat{k}z$$ w […]

Theory of Least Action
This essay helped me win the Bowden Physics Essay Prize at Virginia Tech. The purpose of the contest was to write a nontechnical essay about a particular topic in Physics. The image above is a portrait of William Rowan Hamilton, the inventor of the theory! Enjoy! Light from the rising sun greets your cheeks warmly. […]