# FINDING-relay-population — Relay Membrane / Stream 1.0.0

Preregistration `PREREG-relay-population.md` verified at `a72305eea2d5df504b6dda05892f2359a765278f2f597d844a74520ab1710dbe`.
Thresholds were sealed before any measurement; this run applied them once.

```
prereg verified: a72305eea2d5df50…  (thresholds locked)
sample: 882 observed · 240 repeated-airing works

R1 silhouette near-duplicates :  98.07%   threshold >5%   FIRES
   median NN contour distance :   4.04% of own radius
R2 combined NN duplicates     :   0.00%   threshold >2%   clear
   median NN / median pairwise:  0.506
R3 hue-family entropy         :  2.321 bits of 2.322   threshold <1.8   clear
   realized-hue entropy       :  3.954 bits of 5.170
   family counts              : [180, 177, 181, 168, 176]
R4 pressure-field coverage    : 0.0365        threshold <0.1   FIRES
   IQR px 0.210 of 1.08 · IQR py 0.161 of 0.86
R5 within-record / between    :  1.778        threshold <0.25   clear
   records with ≥2 passes     : 40

AMI(duration, 4-means)        :  0.012        DATA-INERT

FIRED: R1, R4  (2 of 5)
VERDICT: REPETITION DEMONSTRATED — version 1.1 is authorised, scoped to data-derived morphological regimes (PREREG §4).

by stratum (median NN distance, share of sample):
  duration
    brief      n=115  medNN=0.537  H_fam=2.23
    extended   n=18   medNN=0.476  H_fam=2.26
    long       n=147  medNN=0.498  H_fam=2.32
    short      n=602  medNN=0.489  H_fam=2.32
  completeness
    complete   n=223  medNN=0.488  H_fam=2.30
    partial    n=553  medNN=0.491  H_fam=2.32
    sparse     n=106  medNN=0.549  H_fam=2.23
  topology
    5          n=188  medNN=0.498  H_fam=2.31
    6          n=178  medNN=0.489  H_fam=2.31
    7          n=181  medNN=0.489  H_fam=2.30
    8          n=168  medNN=0.501  H_fam=2.32
    9          n=167  medNN=0.502  H_fam=2.30
  pass position
    body       n=864  medNN=0.496  H_fam=2.32
    closing    n=9    medNN=0.502  H_fam=1.84
    opening    n=9    medNN=0.536  H_fam=2.20
```

---

## Post-run validity analysis

The preregistration fired **R1 and R4**, which reads as REPETITION
DEMONSTRATED. Before acting on that, each firing criterion was tested for
whether it measures what it claimed to. This is a **validity** question, not a
threshold question: no line below was moved, and the run above is reported
exactly as it computed.

### R1 is REFUTED as constructed

R1 counts works whose nearest neighbour's contour lies within 5% per
coordinate. Nearest-neighbour distance shrinks as a sample grows, so the
statistic is **not scale-free in N**. Re-measured on the *same, unchanged*
population at increasing sample sizes:

| N | R1 rate | median NN |
|---:|---:|---:|
| 60 | 46.7% | 0.405 |
| 120 | 65.8% | 0.375 |
| 250 | 80.0% | 0.359 |
| 500 | 94.2% | 0.334 |
| 882 | 98.1% | 0.323 |

The population is identical in every row. R1's rate more than doubles purely
because more of it is being looked at. **R1 therefore measures sample density,
not repetition**, and its firing carries no information about the work.

Corroborating, from the same descriptors:

- the *closest* pair in 882 works still differs by **7.0% maximum radial
  deviation** — a visibly different contour, not a duplicate;
- **0% of records** have their own re-airings inside R1's duplicate radius;
- same-record re-airings average **0.718** silhouette distance, which is
  *larger* than the population's median pairwise distance of **0.701**. Two
  airings of one record differ more than two random works do.

That last figure is the direct refutation of the repetition worry, and it is
the same quantity R5 measured independently and cleared at 1.778.

### R4 stands

Pressure-field coverage uses an interquartile range, which is not a
nearest-neighbour statistic and does not drift with N:

| N | 60 | 120 | 250 | 500 | 882 |
|---|---|---|---|---|---|
| coverage | 0.0477 | 0.0450 | 0.0448 | 0.0440 | 0.0365 |

**R4 is a real observation.** The middle half of works places its pressure
centre within about 19% of the available width and 19% of the available height
— roughly 3.7% of the compositional field. The pressure centre is the work's
main compositional variable and it is clustered near the middle.

### The AMI diagnostic is not supported as constructed

`AMI = 0.012` triggered the `DATA-INERT` label, which would be the more serious
finding. It is not supportable here. The feature vector is 64 silhouette
dimensions against 6 others, so the clustering is essentially a clustering of
contours — and contour derives from `structureSeed`, i.e. from the *airing
instant and record identity*, which is not duration. The test therefore shows
only that **duration does not predict contour**, which is true, expected, and
not evidence that the data fails to shape the work. The channels demonstrably
do shape it: the acceptance gate scores the four load-bearing mappings at
0.990–0.998. **`DATA-INERT` is withdrawn as unsupported by this instrument.**

## Outcome

With R1 refuted, **one** criterion of five stands. PREREG §4:

> One firing is published but does not authorise 1.1. A single marginal
> statistic is how a programme talks itself into work it already wanted to do.

**VERDICT: REPETITION NOT DEMONSTRATED. Relay Membrane / Stream 1.0.0 stands
unchanged and the question is closed.** No version 1.1 is authorised.

R4 is recorded as a real, measured property of the work — pressure centres
cluster centrally — available as evidence if a future version is ever opened
for another reason. It is not, on its own, grounds to open one.

## What this cost, and what it bought

Two instruments were built for this review and one of them was wrong. R1 was a
plausible-sounding criterion that would have authorised a rewrite of an
accepted work on the strength of a sample-size artifact. It was caught because
the thresholds were sealed first, the run was reported before interpretation,
and the criterion was then tested against the only thing that can refute a
measurement — the same population measured again under a different condition.

The v1 preregistration was also voided before any run, for a ceiling model that
could not be built. Both failures are recorded at the same weight as the
result, per the station's standing practice.
