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Determinacy and Gray Areas

Z (posture dispersion)

The noise-corrected variance of dispositions across a declared panel of judicial postures reasoning over identical verified law, normalized to the interval from 0 to 1, with abstention when the signal does not clear the instrument's noise floor.

First used in What Remains for the Judge When the Machine Has Already Verified the Law?

Z is computed per procedural gate. Each posture scores the gate on a 1 to 10 scale and runs more than once. The variance of posture means, minus the pooled replicate variance divided by the number of replicates, estimates the systematic posture effect; dividing by 20.25, the largest variance possible on a scale of width 9, bounds the result between 0 and 1.

The reading rule is short. Low Z: the law decides. High Z: the judge's posture decides. Spread at noise level: abstain.

Z is never reported bare. It travels with its interval, noise floor, abstention status and versioned panel declaration, because the numerator is panel-relative: a panel of near-clones reads low on any motion, and a panel stretched to the lawful extremes reads higher on the same one.

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Used in

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