Clifford Algebra \mathcal Cl_{p,q}

Orthonormality Axiom: Conversion of Clifford Algebra Cl(p,q) in terms of Cl(n+2,0)

Clifford algebra \mathcal Cl_{3,0}

Pauli algebra: scalars, vectors, bivectors, and trivectors

Pauli identity and vector products: geometric, dot, wedge, and cross

Exponentials of Cliffors: Hyperbolic, Null, and Circular Functions

Rotations in the xy-plane via exponentials of imaginary vectors: polar and rectangular coordinates

Vector rotation in 3D using exponentials of imaginary vectors

Uniform circular motion in a plane: differentiation of exponentials of imaginary vectors

Spherical basis vectors in terms of exponential rotation operators

Clifford algebra \mathcal Cl_{4,0}

Event cliffor and the Minkowski metric

Dirac algebra: Spatial inversion of cliffors via the unit time vector

Circular rotation of an event in spacetime

Hyperbolic rotation of an event in spacetime


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: