C599 — Generate the resolution hierarchy

Question

Why do field, weekly and generation totals differ despite using the same base grid?

Inputs

{
  "base_cells": 49,
  "rail": 110,
  "carriers": [
    70,
    72
  ]
}

Sources

[
  "File68 §§8.5,8.8–8.10; Appendix J"
]

Opened utc

2026-09-28T00:24:35.995760+00:00

Results

{
  "g_field_week_generation_outer": [
    [
      70,
      3540,
      4200,
      8820,
      9000
    ],
    [
      72,
      3638,
      4298,
      8918,
      9100
    ]
  ],
  "embedded_110_multiplicities": [
    1,
    7,
    49,
    50
  ],
  "successive_extra_110_counts": [
    6,
    42,
    1
  ]
}

Finding

The resolution hierarchy changes how often110 is embedded: once per field, once per week, or once per generation. The totals3540/4200/8820 and3638/4298/8918 therefore measure different constructions.

Reassessment

Explain the weekly sum versus field union by overlap accounting.

Checks

{
  "totals": true,
  "differences": true
}

Closed utc

2026-09-28T00:24:35.995984+00:00

Record provenance

Exact record hash: fcd55fb60ae894e6422ce87d0ae8acf70a34b4f5894ab6a909798c6c04451012

Source journal: Research_Cycles/C0532_C0631/journal.json