Equation 91 · A Reference Frame Becomes Classical by Publishing Its Orientation
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Symbol p_epsilon
psilon is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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The estimator needs its own audit. A numerical POVM can appear successful because the orientation grid is too coarse, because training and evaluation reuse the same samples, or because Euler-angle quadrature overweights a coordinate pole. The registered protocol therefore separates optimization orientations from a fresh Haar-distributed evaluation set, repeats the result in quaternion coordinates, and includes an orientation-independent fragment as a blinded negative control. Uncertainty on will be reported before the integer threshold converts it into redundancy. Otherwise a probability sitting one Monte Carlo error bar either side of 1- could make the public witness…
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The estimator needs its own audit. A numerical POVM can appear successful because the orientation grid is too coarse, because training and evaluation reuse the same samples, or because Euler-angle quadrature overweights a coordinate pole. The registered protocol therefore separates optimization orientations from a fresh Haar-distributed evaluation set, repeats the result in quaternion coordinates, and includes an orientation-independent fragment as a blinded negative control. Uncertainty on will be reported before the integer threshold converts it into redundancy. Otherwise a probability sitting one Monte Carlo error bar either side of 1- could make the public witness count jump by several units without the underlying physics changing.
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