physics, the algebra of physical space (APS) is the use of the Clifford or geometric algebra Cl3,0(R) of the three-dimensional Euclidean space as a model...

while Dirac algebra uses complex number scalars. The STA spacetime split is similar to the algebra of physical space (APS, Pauli algebra) approach. APS...

spacetime algebra (and the less common algebra of physical space) and the conformal geometric algebra. Geometric calculus, an extension of GA that incorporates...

algebra (GA) these are multivectors which sometimes follow Ricci calculus. In the Algebra of physical space (APS), also known as the Clifford algebra...

The Dirac equation in the algebra of physical space uses a Clifford algebra over the real numbers, a type of geometric algebra. As mentioned above, the...

Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure of a distinguished...

idea of using the Pauli matrices as basis vectors is employed in the algebra of physical space, an example of a Clifford algebra. In spacetime algebra, another...

{\displaystyle \mathbb {C} } ) ≅ Spin(3,1). Anyon Dirac equation in the algebra of physical space Eigenspinor Einstein–Cartan theory Projective representation Pure...

variety of different formulations of the algebra to be given, as noted in the examples below. Poisson algebras occur in various settings. The space of real-valued...

Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which...