C887 — Verify the anchored order law on a complete source field

Question

Do both compositions preserve the same interval pattern while shifting placement?

Inputs

{}

Sources

[
  "C878 complete File46 field",
  "C886"
]

Opened utc

2026-09-28T02:50:01.520694+00:00

Results

{
  "field": {
    "path": "model/complete_anchor_order_field.json",
    "sha256": "881c7fc4043aa06a0d2d2579462aecf169d0e70f9c8c36784dd6f1ca63c9271a",
    "bytes": 576
  },
  "number_of_heads": 5,
  "common_difference": "18340/1587"
}

Finding

The complete five-head diagnostic has the same scaled gaps in both orders and the same constant displacement at every head. Anchor order changes placement; intermediate divisibility changes domain. These are separate mechanisms.

Reassessment

Relate the NT return family directly to the general grid theorem.

Checks

{
  "whole_displacement": true,
  "same_gaps": true
}

Closed utc

2026-09-28T02:50:01.521394+00:00

Record provenance

Exact record hash: 988dd7c27c17bd322e52a0399cbac20d66e5c76bc6ee50b2fcaf38ae0aad0208

Source journal: Research_Cycles/C0832_C0931/journal.json