Gauge audit · deterministic classical controls

Known invariances recovered; no anomaly detected

A framing diagnostic should erase coordinate or gauge drift while preserving observables. These 7 controls include 3 valid transformations, 3 deliberately malformed transformations, and 1 independently wrong pullback.

3known invariances recovered

3broken controls detected

1alignment failures detected

0unexplained residuals

Observable residual

Where invariance holds—and where it breaks

Log scale · relative error · acceptance threshold 1.00e-10

MaxwellGauge transform
4.99e-16Recovered
MaxwellWrong pullback control
4.99e-16Alignment failed
MaxwellMissing scalar compensation
1.88e-1Observable broken
OscillatorCanonical rotation
1.44e-16Recovered
OscillatorNoncanonical scaling
8.26e-1Observable broken
KeplerRotated frame
2.39e-16Recovered
KeplerFixed-metric anisotropic scaling
2.60e-1Observable broken

What the passing controls establish

Maxwell gauge compensation, canonical phase-space rotation, and a rotated Kepler frame return observable errors between 1.44e-16 and 4.99e-16. Their large raw representation changes disappear under the known pullback.

What the failing controls establish

Removing gauge compensation, breaking canonical structure, or retaining a fixed Euclidean metric produces observable errors from 1.88e-1 to 8.26e-1. The diagnostic does not excuse those changes as framing.

A separate wrong-pullback control preserves Maxwell observables but is rejected because it fails to realign the representation.