Symbol n
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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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Published contexts (2)
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Equation 12 · Evolutionary Physics
A Reference Frame Becomes Classical by Publishing Its Orientation
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
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.
Equation guide → · Article →Equation 13 · Evolutionary Physics
A Reference Frame Becomes Classical by Publishing Its Orientation
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
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.
Equation guide → · Article →