Equation 10 · Part 1 · A Reference Frame Becomes Classical by Publishing Its Orientation
Symbol S^2
What this part means
The square of S: multiply S by itself.
Its job in the formula
is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.
Full expression→Symbol S^2→Article meaning
The passage around this formula
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.
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the article section
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