Equation 7 · A Reference Frame Becomes Classical by Publishing Its Orientation
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A finite frame also changes when it is used. Bartlett and colleagues modeled a spin- j directional reference and found that repeated measurements degrade its usefulness, with a special quadratic longevity scaling for unpolarized test spins in their setting [ 4 ] . Poulin and Yard analyzed a quantum gyroscope subjected to sequential angular-momentum measurements and showed that its back-action dynamics depend on the incoming ensemble; generically the reference thermalizes on a time scale linear in its size, while symmetry explains the special unpolarized case [ 3 ] . The point is not which scaling wins universally. There is no universal scaling without a use protocol.
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