Jackson Seligman, & Dr. Ivona Grzegorczyk
In this presentation I am going through the various Algebras in Physics and their uses and rationalizations for why they are used. The Algebras covered in this presentation are R, C, H, Cl+ 3,0, O, and Exterior Algebras. Discussing wave functions, Quantum Mechanics, Rotations, Cross Product as wedge products, Spinors, and Supersymmetry.
I will be exploring representations in physics and identifying consistent patterns within numerical systems that would solve a particular property of the equation.
The real numbers are the basic continuous number system most capable of being identified. It is any number that can have a decimal and has only one basis. The next would be the complex numbers, denoted as a + bi. A real number:a and a complex numbe:b with the imaginary generator i where i^2 = -1. A lesser known but very common algebra would be the quaternions. they come in the form a +bi + cj +dk where i^ = j^2 = k^2 = ijk = -1