C39 — The 24-fold and 20-fold intervals share a local centre

22 September 2026 · Step 17 of the authorized 30-step Mirror continuation (C23–C52).

On N01 the outer interval [H,U] has radius 12K and the inner [A,D] has radius 10K, both centred at Z=−2. Their left and right margins are each 2K=1058:

This is a genuine symmetric nesting of those two intervals. It differs from the off-centre 13-fold nesting inside the 17-fold interval.

The local centre −2 is not the project's canonical Mirror axis. Reflection about −2 exchanges these interval boundaries, but does not preserve every internal source role. It maps the SP Noah coordinate −3705 to +3701, outside the permitted SP Noah field, and alternate MT Flood −2647 to +2643, outside that profile's Flood field.

Therefore boundary symmetry is not a symmetry of the entire typed chronology graph. The canonical paired reflection remains x→−x. The local centre is a property of this constructed interval, not a new historical event or permission to reflect all dates about 2 BC.

Validation. 7 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. Record the admitted partitions of the 24-fold path without counting them as independent evidence.