# Method and Limitations

## Locked law versus detection layer

The locked acceleration law is not changed by the detector:

```math
g_{\rm RBFL}=g_b+A_b\sqrt{a_\phi g_b}.
```

The Phase Detection Unit estimates phase state using observables.  This means it can use residual-derived quantities, lensing/event projection clues, and zero-gauge comparisons as diagnostics, but these do not become new force terms.

## Current detector logic

The current result uses a multi-channel detector:

1. `A_b`: forward baryonic phase operator.
2. `A_phi_obs`: observed residual detector.
3. `theta_NGC7331`: zero-phase reference gauge.
4. `G_rot`: central-node rotation/drag proxy.
5. `B_switch`: switching/boundary indicators.
6. `lambda_event`: adjustable lensing/event-band detector.

The latest event-band detector improved holdout phase-state match from 75% to 95% in the included split, while the locked-law velocity pass remained 70%.

## Why the event-band parameter is allowed in the detector

The event-band parameter is not a law parameter.  It estimates projected event amplification in the detection stage because full 3D baryonic/lensing data are not yet available.  It is therefore a proxy for missing 3D field-shape information, not a force multiplier.

## What is not included

This package does not include:

- full 3D baryonic density reconstructions;
- full raw lensing images/arcs;
- full convergence maps;
- wide-binary catalogues;
- timing/planetary-spacing datasets;
- an action-principle derivation or relativistic completion.

## How to interpret the results

The detector-stage results should be interpreted as phase-classification performance on the included datasets, not as proof of a new law of nature.

Best current numbers:

- phase-state detector holdout match: 95% after adjustable event-band channel;
- locked-law velocity pass: 70% under 15% MAPE tolerance;
- combined velocity and phase pass: 70%.

The result suggests that detection-stage geometry, switching, and event projection contain useful information, but it does not by itself prove the RBFL gravity law.
