{"id": "c98", "title": "C98 — The two 13/12 comparisons have different derived affine anchors", "filename": "490d_C98_Mirror_Report_20260922.md", "role": "Research action", "step": 98, "sha256": "2b43e4529a5f7c21e5c253fb273226c9ab121fcb242876820a3eb9778f22a363", "bytes": 3379, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_apparent_midpoint_20260922/C98/490d_C98_Mirror_Report_20260922.md"], "download": "/sources/2b43e4529a5f7c21e5c253fb273226c9ab121fcb242876820a3eb9778f22a363.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C98 — The two 13/12 comparisons have different derived affine anchors\n\n22 September 2026 · Step 6 of the authorized ten-step Mirror continuation (C93–C102).\n\nThe source-qualified ratio arrows in C97 can each be realized by an affine map, but they do not use the same anchor. Solving both endpoint equations gives:\n\n| Com", "content": "# C98 — The two 13/12 comparisons have different derived affine anchors\n\n22 September 2026 · Step 6 of the authorized ten-step Mirror continuation (C93–C102).\n\nThe source-qualified ratio arrows in C97 can each be realized by an affine map, but they do not use the same anchor. Solving both endpoint equations gives:\n\n| Comparison | Ratio | Derived anchor | Anchor relative to apparent−4444 |\n| --- | --- | --- | --- |\n| U→A | 13/12 | -4720 | -276 |\n| C→B | 13/12 | -4744 | -300 |\n\nThese anchors−4720 and−4744 are calculated fixed points of the interval maps. No event identity is assigned to them, and neither replaces the canonical JanuaryAD 1 Mirror axis.\n\nLet P be the retained 25/23 map aboutα=−4444, and Q₀/Q₁ the 13/12 maps aboutβ₀=−4720 andβ₁=−4744. Then\n\n\\[\nP(\\beta_0)=\\beta_1,\\qquad\nP\\circ Q_0=Q_1\\circ P.\n\\]\n\nThe first anchor is 276=12×23 belowα; the second is 300=12×25 below it. The equation is an exact affine conjugacy, including the phase-preserving lifts. It explains how the first sourced triangle maps onto the second while its 13/12 anchor changes.\n\nIf the first anchor is incorrectly reused for C→B, both output endpoints fall 2 before the intended records. That concrete residual prevents the two ratio arrows from being silently treated as one fixed global operator. The 24-year difference between the generated anchors is algebraic; it is not a Gear assigned to an upstream person or a new source chronology.\n\nThe interval endpoints are admitted source records; the derived affine anchors are separately typed formal parameters. The 13/12 quotient remains a bounded comparison, not a newly canonized operator.\n\n**Validation.** 10 exact arithmetic/structural checks passed. The 20 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 and Appendix A (paired Mirror and exact phase); File_18 §§2.1.3, 2.4, 3.1 and 6/6A (regular fields and cumulative collateral source); File_61 §§3.3–3.4, 11.1–11.4 and 14.3 (fixed Jacob events, original Joseph portion and its 500-year Conquest comparison); File_62 collateral-scope guards; C01/C05 retained endpoint and apparent-field results; frozen C15/C43/C65/C67/C68/C74–C76/C86/C89/C92 dependencies (source, phase and family controls). The declared phase model does not infer an unstated birthday or event month from an annual source row.\n\n**Best next bounded step — High sufficient.** Apply the retained two-anchor identity to the new 552-year Joseph/Flood intervals and verify their common 600-year image.\n", "evidenceLinks": [{"id": "d-be42daca1d82dac9", "title": "File 62"}, {"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-d580afd48d6e12d6", "title": "File 61"}, {"id": "d-45851004c5864229", "title": "File 09"}]}