C29 — The canonical Mirror and local symmetry are different maps
22 September 2026 · Step 7 of the authorized 30-step Mirror continuation (C23–C52).
The project Mirror is R(x)=−x about the fixed paired axis. It sends [b,f] to [−f,−b], reverses endpoint order, and preserves 6877. For N02 the reflected interval runs from the MT Flood source pair 2459t/2458n BC to reflected Creation AD 4419t/4420n.
Reflection about the centre of the 17-fold interval instead uses L(x)=c+s−x. It sends the 13-fold subinterval to [b+380,f+380]. This is a geometric companion produced by its unequal flanks, not the canonical paired Mirror.
| Branch | Canonical image coordinates | Local-centre image coordinates |
|---|---|---|
| N02 | [-2458, 4419] | [-4039, 2838] |
| N04 | [-2460, 4417] | [-4037, 2840] |
The local image's putative Creation endpoint lies outside the fixed SP Creation field and its putative ordinary MT Flood endpoint lies outside that field. No search is needed to reject those two proposed roles: the documented bounds already exclude them.
The canonical image, by contrast, reflects the two actual source endpoints and requires no new chronology selector. It is the opposite orientation of the same construction, not an independent witness. A valid geometric symmetry therefore need not be an allowed transport of event roles.
Validation. 8 exact arithmetic/structural checks passed. The ten frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.
Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.
Source locators. File_09 §3.1 (paired Mirror); File_18 §§2.1.3, 3.1–3.2, 6B and 6D (qualified regular and cumulative fields); frozen C15 typed graph, C16 domain certificate, and C22 reduced scale/constraint certificates.
Best next bounded step — High sufficient. Track how branch changes interact with canonical reflection.