490d C315 — Full SP biography and the fixed8395 boundary
24 September 2026. Step 2 of the ten-step authorization C314–C323.
All five reversed pairings extend to an admitted SP biography: Noah birth →Shem birth →selected Flood boundary →Noah death →Shem death, with ordered spans 500+100+350+150=1100. Noah's950 and Shem's600 survive at both exact output phases.
| j / i | SP state | Full source chain, BC | Fixed8395 candidate | Actual alias |
|---|---|---|---|---|
| 3 /7 | G3 primary | 3710→3210→3110→2760→2610 | 3112 | Absent |
| 4 /6 | G3 companion | 3709→3209→3109→2759→2609 | 3111 | Absent |
| 5 /5 | G2 primary | 3708→3208→3108→2758→2608 | 3110 | G3 Flood start |
| 6 /4 | G2 companion | 3707→3207→3107→2757→2607 | 3109 | G3 Flood close |
| 7 /3 | G1 primary | 3706→3206→3106→2756→2606 | 3108 | G2 Flood start |
The selected boundary is Flood start for a primary person rail, and Flood close for a companion person rail. Flood close is an existing event boundary, never a propagated SP person-companion. Against both boundaries the primary Noah gaps are600/601 and companion gaps599/600. File_18 §3.1.4 and §3.2.1 control these roles. Noah-death stations retain the source's primary inclusive/harmonic and companion qualifications.
The fixed paths use n=q+8993 and r=q+8395, so n−r=598. The coherent source boundary f=n−600 therefore satisfies r−f=2. All ten equal-output-phase comparisons retain this exact residual. Re-pairing available quarter-year components gives residuals3/2,2,5/2, never0. Changing8395 to8393 would force a same-ancestor endpoint but is not adopted.
Three candidate coordinates are admitted only as another Gear's Flood boundary; two have no admitted SP Flood at all in the fixed context. Substituting these candidates into the source biography gives Shem→candidate98 and candidate→Noah death352. Those are consequences of the same discrepancy, not new witnesses. The source500,600 and950 relations remain valid.
Verification and limits
47 main assertions and 15 frozen-input/predecessor checks passed. A second main replay produced byte-identical DATA and RESULTS. Separate review scope and agreement are recorded in the evidence. All frozen originals and standing controls remain unchanged. These are verification counts, not independent-witness counts.
Source biography is sound; composition with a common cumulative ancestor fails. A wrongGear coordinate alias is not a samebiography match.
Mirror/529 remains the focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction x=1 January AD2; no civil year zero. Regular Gears remain Noah/Shem/Flood only. SP minus-one companion is local to SP Noah/Shem. No cumulative/upstream Gear, new endpoint or phase, fitted anchor, global axis, z-law, canonical or graph edit. Capture now; canonize later. Source state, event identity, generated coordinate and phase ancestry remain distinct. Exact arithmetic and source membership do not establish intention or independent historical witnesses.
Decision after this result
C316, proposed and unexecuted: Test the forced two-year cumulative ancestry displacement h=i−2 that would retain both17K and8395 while reaching each selected source Flood. Compare with permitted regular one-Gear descent only where its initial alias is admitted; retain all domain and phase boundaries.
C315 isolates an exact2-year mismatch. This tests an existing-station correspondence with unchanged constants and distinguishes it from an impermissible cumulative Gear operation or a fitted bridge.