C1019 — NT Key-knot constraint rank

Question

Do the one-slot P and six-slot E returns impose independent metric equations?

Inputs

{}

Sources

[
  "File43 §3.4",
  "File54 §6",
  "C866–C867"
]

Opened utc

2026-09-28T03:59:13.232738+00:00

Results

{
  "constraint_packet": {
    "path": "model/nt_knot_constraints.json",
    "sha256": "001fa79df002ae5a1ff854edc0d95670ab13621b424713e9d46190626da9e136",
    "bytes": 216
  },
  "rank": 1,
  "row_multiple": 6
}

Finding

The second marked NT return is exactly six times the first equation. The pair has rank one and does not independently determine the70-year metric.

Reassessment

Identify the metric freedom and the additional source constraint that closes it.

Checks

{
  "rank_one": true,
  "dependent_rows": true
}

Closed utc

2026-09-28T03:59:13.233977+00:00

Record provenance

Exact record hash: a9606576f6f256c87181d6a7dcdf67f5826caa29d6a13d4db1f6096725397767

Source journal: Research_Cycles/C0932_C1131/journal.json