Research action

Exact phases of the598 to600 source repairs

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Study sequence: Anchored harmonic ladders, 598→600 repairs and paired P/J (C334–C373) · Mirror & 529

490d C348 — Exact phases of the598 to600 source repairs

24 September 2026. Step 5 of 10 in the C344–C353 authorization.

Only matching inherited components realize the primary600 repairs. No existing component choice repairs the599 companion case.

The check covers both held-endpoint choices, four C287 paths, and every assignment of the existing±1/4 components to the two inputs and target:64 controls. Eight pass—the two primary paths, two held-endpoint choices and two matching components. All companion cases fail.

For the primary path, a center-fixed300/299 affine expression changes the target component offsets by±1/1196. It expands the half-year separation between components by1/598. As with E in C341, preserving the stored pair components requires componentwise or center/phase bookkeeping; one physical-time affine dilation does not preserve the pair as given.

The companion mismatch601+1/299 remains exact. Neither seasonal reassignment nor rounding is used to turn it into the actual same-Gear close interval601. These fractions are coordinate diagnostics, not Residue Protocol quantities.

With source roles, biography effects and phases settled, the next useful step is a small map of exactly which retained endpoints each comparison expression reaches. This can expose the available partial structure without extending it to unrelated source records.

Verification and limits

75 main checks and 15 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

No new phases or fractional source records; no rounding or calendar-physics interpretation.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

Decision after this result

C349, proposed and unexecuted: Build the finite endpoint relation table for E and the two300/299 held-endpoint expressions, plus their inverses, on the already used primary Noah/Shem/Flood records. Record only exact source matches and identify the longest supported paths without adding endpoints.

All local numerical ambiguities are closed. A bounded relation table can now show the actual source-preserving structure and its closure limits.

Edition and provenance

490d_C348_Exact_Phases_of_598_to_600_Repairs_20260924.md

SHA-256 ebc46bd57c1202ee7c8940c15afe6d83e49943b6235683e74b30370cf0ac4d3b

C01–C479/packets/C348/490d_C348_Exact_Phases_of_598_to_600_Repairs_20260924.md