06 / 07Detecting a broken conservation law
It sees the law break.
The trained detector
Eight conserving streams, eight violating
Sixteen streams run side by side: eight that conserve their charges, in grey, and eight that carry a violation of a set size, in rose.
How to read this figure
Sixteen streams run side by side: eight that conserve their charges, in grey, and eight that carry a violation of a set size, in rose. Each line is one stream's score, step by step, on a log scale. The upper panel is ARCHON's conservation channel. The lower panel is a trained detector, a network that learns to reconstruct conserving motion and scores what it reconstructs badly. The rail steps the violation from one part in ten thousand to one part in ten.
ARCHON's channel has never been shown a violation. It reads the rate at which a conserved quantity is changing, so conserving streams sit at the rounding floor and violating streams stand clear of them at every size. The trained detector's two sets of lines stay tangled until the violation is a hundred times larger. Scores are areas under the detection curve over 100 seeds, where 1.0 is perfect and 0.5 is a coin toss: ARCHON 1.000 at all seven sizes, the best of six trained detectors at chance on the smallest and level only at the largest.