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In physics, the algebra of physical space is the use of the Clifford or geometric algebra Cl3,0 of the three-dimensional Euclidean space as a model for -dimensional spacetime, representing a point in spacetime via a paravector.
The Clifford algebra Cl3,0 has a faithful representation, generated by Pauli matrices, on the spin representation C; further, Cl3,0 is isomorphic to the even subalgebra Cl3,1 of the Clifford algebra Cl3,1.
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 , which concerns the Clifford algebra Cl1,3 of the four-dimensional Minkowski spacetime.
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