C496 — Refinement defects

Question

When do documented refinements preserve the reversed path value?

Inputs

{
  "MT_regular_Noah": [
    1650,
    [
      1050,
      600
    ]
  ],
  "MT_cumulative_Shem": [
    9170,
    [
      8570,
      600
    ]
  ],
  "MT_cumulative_Noah": [
    9170,
    [
      7620,
      1550
    ]
  ],
  "LXX_regular_Noah": [
    2250,
    [
      1650,
      600
    ]
  ]
}

Sources

[
  "File52c §3.3",
  "C489"
]

Opened utc

2026-09-27T22:42:34.936653+00:00

Results

{
  "defects": {
    "MT_regular_Noah": 0,
    "MT_cumulative_Shem": 990,
    "MT_cumulative_Noah": 990,
    "LXX_regular_Noah": 990
  },
  "definition": "delta_refinement=sum I(parts)-I(sum parts)"
}

Finding

The MT regular refinement has defect0; both cumulative refinements and the LXX regular refinement have defect990. Thus12026 versus13016 and10436 versus11426 are outcomes of the same path rule, not separate arbitrary anchors.

Reassessment

Test whether appending the documented Conquest-to-Nativity leg gives a uniform backbone continuation.

Checks

{
  "raw_lengths_preserved": true,
  "defects": true
}

Closed utc

2026-09-27T22:42:34.936928+00:00

Record provenance

Exact record hash: 3bc4c41817c5a53cc1f35b997be3e74536789539edd1e7d6c9897faab3af971a

Source journal: Research_Cycles/C0482_C0531/journal.json