# C992 — Selection differs from chronological composition

## Question

What changes when two factors act sequentially on the whole duration?

## Inputs

```json
{}
```

## Sources

```json
[
  "C991"
]
```

## Opened utc

2026-09-28T03:53:32.019008+00:00

## Results

```json
{
  "nested_selection_factor": "300/299",
  "whole_duration_P_then_J": "7000/6877",
  "general_law": "A_g(A_f(k))=A_(gf)(k)"
}
```

## Finding

Nested selection gives J; applying P and J successively gives their product7000/6877. These are different operations despite sharing the same factor names.

## Reassessment

Prove when a component conversion can pass through coarsening without losing its meaning.

## Checks

```json
{
  "different": true,
  "values": true
}
```

## Closed utc

2026-09-28T03:53:32.019394+00:00

## Record provenance

Exact record hash: `6def0f2fcdc3147880fbc2ffdaefd4ce195494a40f04fb9722e46c471cc37f5d`

Source journal: `Research_Cycles/C0932_C1131/journal.json`