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Equation 75 · Part 2 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol O

SO(3)SO(3)
OO

What this part means

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The initial simulation uses a spin- j coherent state as a finite directional reference and N sequential spin-one-half probes. That choice intentionally restricts the first result to S2S^2 . Calling it a full SO(3) frame would add an unencoded rotation about the spin axis. A later quantum-rotor or asymmetric-top model can carry a triad after the directional pipeline passes its tests.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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