{"id": "c25", "title": "C25 — A compact endpoint form for the retained Mirror branches", "filename": "490d_C25_Mirror_Report_20260922.md", "role": "Research action", "step": 25, "sha256": "2ad7720eeaea46a48b7b906d0fcf76e45544e13f1fb4a50588e7f3de7e8674d1", "bytes": 3118, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_30_step_campaign_20260922/C25/490d_C25_Mirror_Report_20260922.md"], "download": "/sources/2ad7720eeaea46a48b7b906d0fcf76e45544e13f1fb4a50588e7f3de7e8674d1.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Rounded", "Mirror / 529"], "excerpt": "C25 — A compact endpoint form for the retained Mirror branches\n\n22 September 2026 · Step 3 of the authorized 30-step Mirror continuation (C23–C52).\n\nLet K=529, ℓ=598, κ=460=2K−ℓ, p=190 and let j identify the cumulative OFF member 5290−j. In the signed paired coordinate convention, the following formulas reproduce every", "content": "# C25 — A compact endpoint form for the retained Mirror branches\n\n22 September 2026 · Step 3 of the authorized 30-step Mirror continuation (C23–C52).\n\nLet K=529, ℓ=598, κ=460=2K−ℓ, p=190 and let j identify the cumulative OFF member 5290−j. In the signed paired coordinate convention, the following formulas reproduce every registered point on N01–N04 and the available P6 base points.\n\n| Point and role | Signed coordinate |\n| --- | --- |\n| c: cumulative OFF Flood | −10K+j |\n| u: native ON cumulative Shem member | −12K+j |\n| cm: derived OFF Shem member | −10K−ℓ+j |\n| b: fixed-field SP Creation | −8K−p+j |\n| q: reflected Conquest | 3K−p+j |\n| f: reflected ordinary MT Flood | 5K−p+j |\n| v: reflected alternate MT Flood | 5K+j |\n| s: reflected SP Noah | 7K+j |\n| r: reflected SP Flood | 7K−ℓ+j |\n| mtN: reflected MT Noah | 5K+ℓ−p+j |\n| spDeath: reflected SP companion death | 5K+ℓ/2−p+j |\n| A, X, Y, Z, D | −10K−j, −7K−j, −5K−j, −j, 10K−j |\n| H: the optional left Shem head | −12K−j |\n\nThe admitted indices are N01=2, N02=3, N03=4, N04=5 and P6=6. A formula is not an admission: H exists as the retained head only on N01, while mtN and spDeath complete the full expansion only on N02/N04. The evidence compares only points actually present in the completed typed graph.\n\nThe formulas expose two opposite field-index signs. Direct branch points carry +j; their reflections and the BC partition points carry −j. They also separate the profile offset p from the common 529 unit. The Creation formula selects among fixed source members; it does not move Creation through the regular Gears.\n\nThis is an exact compression of the existing geometry, not a replacement for the role, Gear, boundary and companion tags preserved in the frozen graph.\n\n**Validation.** 5 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.** Determine which data identify the field index and which widths leave it free.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}