Category: Physics

  • The Link Between Complex Numbers and Vectors

    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

    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 non-technical 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. […]