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Equation 74 · Part 1 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol S^2

S2S^2
S2S^2

What this part means

The square of S: multiply S by itself.

Its job in the formula

S2S^2 is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.

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

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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