C509 — Anchor-change and composition laws

Question

Which affine relations explain a change of anchor without choosing a new ratio?

Inputs

{
  "E": "25/23",
  "anchors": [
    14726,
    6
  ],
  "sample_inverse_Shem": 5526
}

Sources

[
  "Strategy §5C",
  "File52c §3.11"
]

Opened utc

2026-09-27T22:46:36.619470+00:00

Results

{
  "difference_law": "D_k,a(x)-D_k,b(x)=(1-k)(a-b)",
  "conjugacy": "T_t D_k,a = D_k,a+t T_t",
  "same_anchor_composition": "D_l,a D_k,a = D_lk,a",
  "different_anchor_order": "D_l,b D_k,a − D_k,a D_l,b = (1-l)(1-k)(b-a)",
  "Shem_Creation_held": 4726,
  "Shem_Nativity_held": 6006,
  "Nativity_minus_Creation": 1280
}

Finding

Changing only the anchor shifts every output by the same amount. The14726 versus6 E-presentations differ1280 throughout. Same-anchor ratios compose multiplicatively; different anchors generally make order matter.

Reassessment

Keep this affine geometry distinct from the two coordinate conventions used by Mirror comparisons.

Checks

{
  "shift": true,
  "Shem": true
}

Closed utc

2026-09-27T22:46:36.619814+00:00

Record provenance

Exact record hash: 7588ac0d117879aed2046e99847bf7c45d917fc46c72a3e7d32280f3b8182f93

Source journal: Research_Cycles/C0482_C0531/journal.json