Algebra of physical space

In physics, the name "algebra of physical space" (APS) originally stems from the use of the biquaternions via its definition as the real Clifford or geometric algebra Cl3,0(R), also written G 3 {\displaystyle \mathbb {G} _{3}} or R 3 {\displaystyle \mathbb {R} _{3}} , of three-dimensional Euclidean space as a model for (3+1)-dimensional spacetime, representing a point in spacetime via a paravector (3-dimensional vector plus a 1-dimensional scalar). Although, recent research has adopted the name "APS" as a synonym for Cl3,0(R) in general contexts.

Source: Wikipedia — Algebra of physical space (CC BY-SA 4.0)