{"id": "c39", "title": "C39 — The 24-fold and 20-fold intervals share a local centre", "filename": "490d_C39_Mirror_Report_20260922.md", "role": "Research action", "step": 39, "sha256": "6fb4dcbe7a055ea3d7dbd17624c4076e6dc49b5df562c58524ed7fbc0f2ab880", "bytes": 2439, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_30_step_campaign_20260922/C39/490d_C39_Mirror_Report_20260922.md"], "download": "/sources/6fb4dcbe7a055ea3d7dbd17624c4076e6dc49b5df562c58524ed7fbc0f2ab880.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C39 — The 24-fold and 20-fold intervals share a local centre\n\n22 September 2026 · Step 17 of the authorized 30-step Mirror continuation (C23–C52).\n\nOn 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:\n\n\\\nH,U=Z-12K,Z+12K,\\qqua", "content": "# C39 — The 24-fold and 20-fold intervals share a local centre\n\n22 September 2026 · Step 17 of the authorized 30-step Mirror continuation (C23–C52).\n\nOn 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:\n\n\\[\n[H,U]=[Z-12K,Z+12K],\\qquad [A,D]=[Z-10K,Z+10K].\n\\]\n\nThis is a genuine symmetric nesting of those two intervals. It differs from the off-centre 13-fold nesting inside the 17-fold interval.\n\nThe 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.\n\nTherefore 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.\n\n**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.\n\n**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.\n\n**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.\n\n**Best next bounded step — High sufficient.** Record the admitted partitions of the 24-fold path without counting them as independent evidence.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}