High Quality Content by WIKIPEDIA articles! In physics, the algebra of physical space (APS) is the use of the Clifford or geometric algebra Cl3 of the three-dimensional Euclidean space as a model for (3+1)-dimensional space-time, representing a point in space-time via a paravector (3-dimensional vector plus a 1-dimensional scalar). The Clifford algebra Cl3 has a faithful representation, generated by Pauli matrices, on the spin representation C2; further, Cl3 is isomorphic to the even subalgebra of the 3+1 Clifford algebra, Cl^0_{3,1}. APS can be used to construct a compact, unified and geometrical formalism for both classical and quantum mechanics. APS should not be confused with spacetime algebra (STA), which concerns the Clifford algebra C?1,3(R) of the four dimensional Minkowski spacetime.

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