C226 — Centers of the cumulative 17-fold expansion
23 September 2026 · Step 21 of 60, continuing C205.
C04’s cumulative construction expands both boundaries about the retained comparison center p. Its interval centers move earlier by 69 and then 75, unlike the later-moving centers of the fixed-Creation chain.
| p | Stage | Left center | Right center | Interval center |
|---|---|---|---|---|
| 3 | 0 | -5287 | 3706 | -1581/2 |
| 3 | 1 | -5747 | 4028 | -1719/2 |
| 3 | 2 | -6247 | 4378 | -1869/2 |
| 5 | 0 | -5285 | 3708 | -1577/2 |
| 5 | 1 | -5745 | 4030 | -1715/2 |
| 5 | 2 | -6245 | 4380 | -1865/2 |
The width ladder is 8993→9775→10625. The expanded coordinates are generated images under this operation even when a number separately belongs to a native field. This report adds the center calculation to C04’s established endpoint analysis.
Evidence and scope
K=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.
Regular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.
14 step-specific checks and 19 frozen-input checks passed. Exact inputs, results and predecessor hashes are in the accompanying JSON records; calculation code is in the evidence archive. Source dependencies are identified in the body and frozen in sources/.