[en] We study the standard angular momentum algebra [x_i,x_j]=iλε_ijkx_k as a noncommutative manifold R_λ³. We show that there is a natural 4D differential calculus and obtain its cohomology and Hodge * operator. We solve the spin 0 wave equation and some aspects of the Maxwell or electromagnetic theory including solutions for a uniform electric current density, and we find a natural Dirac operator ∂e. We embed R_λ³ inside a 4D noncommutative space-time which is the limit q→1 of q-Minkowski space and show that R_λ³ has a natural quantum isometry group given by the quantum double C(SU(2))x U(su(2)) which is a singular limit of the q-Lorentz group. We view R_λ³ as a collection of all fuzzy spheres taken together. We also analyze the semiclassical limit via minimum uncertainty states |j,θ,φ> approximating classical positions in polar coordinates