{"id": "c61", "title": "C61 — The 24-fold paired Mirror preserves the exact 3.5-year Aaron phase", "filename": "490d_C61_Mirror_Report_20260922.md", "role": "Research action", "step": 61, "sha256": "e468f14bb8150fde0459ab7ed4efd00cd4896749e413b89f3863270ecf091895", "bytes": 3556, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_10_step_week_phase_20260922/C61/490d_C61_Mirror_Report_20260922.md"], "download": "/sources/e468f14bb8150fde0459ab7ed4efd00cd4896749e413b89f3863270ecf091895.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Calendar Keys", "Mirror / 529"], "excerpt": "C61 — The 24-fold paired Mirror preserves the exact 3.5-year Aaron phase\n\n22 September 2026 · Step 9 of the authorized ten-step Mirror continuation (C53–C62).\n\nThe paired 12696-year interval does not require discarding the Aaron phase. File_09's simplified Julian proof coordinates place Nisan at the quarter-year and Ti", "content": "# C61 — The 24-fold paired Mirror preserves the exact 3.5-year Aaron phase\n\n22 September 2026 · Step 9 of the authorized ten-step Mirror continuation (C53–C62).\n\n**The paired 12696-year interval does not require discarding the Aaron phase.** File_09's simplified Julian proof coordinates place Nisan at the quarter-year and Tishri at the three-quarter-year. Applying them to the derived Shem Moses line 6345n gives the Aaron/Tishri component **6349t BC**, exactly 3.5 years earlier.\n\nThe source's Aaron-column value 6348.5 is its Nisan-reference numerical phase label. The ordinary three-year member is 6348n. Together the seasonal comparison pair is\n\n\\[\n6349t/6348n\\ \\mathrm{BC}\\longrightarrow\n\\mathrm{AD}\\ 6348t/6349n.\n\\]\n\nThe BC pair has coordinates −6348.25 and −6347.75, centred at −6348. Its AD counterpart has coordinates +6347.75 and +6348.25, centred at +6348. Both pairs are half a year wide. The reflected point sets agree exactly; the same-season component spans are both **12696=24K**.\n\nThus 6348.5 identifies the exact Tishri component in the cumulative phase display; it is not an instruction to shift the paired centre from 6348 to 6348.5. The whole-year role and exact phase coexist as File_09 requires. This is a derived application of its phase model, not a new astronomical calendar calculation or an added source date row.\n\nThe standalone single-date convention is different. 6349t BC→AD 6349t spans 12697; 6348n BC→AD 6348n spans 12695. Those are valid single-date comparisons but are not the paired 24-fold construction. Merely doubling the displayed 6348.5 produces the former value and does not compute the paired span.\n\nThere is a useful negative control: writing the AD pair incorrectly as 6348n/6349t retains its numeric centre +6348 but makes its internal width 1.5 years. The component spans become 12695.5 and 12696.5. **Correct centres alone therefore cannot verify the phase-resolved Mirror.** Suffix inversion and component-wise checks are essential.\n\nThe same calculation verifies all four 20/22/24 rectangle intervals with their proper seasonal pairs. No regular Gear or cumulative lifespan is changed.\n\n**Validation.** 11 exact arithmetic/structural checks passed. The 13 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 §0.4 rules 21–22 and the Creation Cell / Aaron Phase guard (week anatomy), §3 (paired Mirror); File_18 §§4.2 and 6A–6D (lifespans and cumulative fields); frozen C15/C16/C22 and C43/C46/C48/C50/C52 certificates (retained graph, unit, and domains).\n\n**Best next bounded step — High sufficient.** Synthesize C53–C61 and publish the ten-step checkpoint, preserving the source/phase distinctions and their limits.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}