Gauge audit · deterministic classical controls
Known invariances recovered; no anomaly detected
A framing diagnostic should erase coordinate or gauge drift while preserving observables. These six controls do exactly that: three valid transformations recover their invariants, and three deliberately malformed transformations fail.
Observable residual
Where invariance holds—and where it breaks
Log scale · relative error · acceptance threshold 1.00e-10
- MaxwellGauge transform4.99e-16Recovered
- MaxwellMissing scalar compensation1.88e-1Rejected
- OscillatorCanonical scaling7.45e-17Recovered
- OscillatorNoncanonical scaling9.60e-1Rejected
- KeplerRotated frame2.39e-16Recovered
- KeplerFixed-metric anisotropic scaling2.60e-1Rejected
01
What the passing controls establish
Maxwell gauge compensation, canonical phase-space scaling, and a rotated Kepler frame return observable errors between 7.45e-17 and 4.99e-16. Their large raw representation changes disappear under the known pullback.
02
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 9.60e-1. The diagnostic does not excuse those changes as framing.