Equation 12 · A Reference Frame Becomes Classical by Publishing Its Orientation
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Let G be a compact group. For a full spatial orientation one may choose SO(3) ; for a single direction carried by a spin-coherent state the parameter space is the sphere , equivalently the quotient SO(3)/SO(2) . That distinction is not cosmetic. A spin pointing along does not encode rotation about , so it cannot specify a full triad.
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