Research action

C138 — Six source-qualified P6 comparison squares

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Study sequence: Finite 17K squares, P6 boundary and one residual (C129–C155) · Mirror & 529

C138 — Six source-qualified P6 comparison squares

23 September 2026 · Bounded step 3 of 20 (C136–C155).

All six retained alternate MT Flood start/close pairs yield a source-field-qualified P6 equal-diagonal 17K comparison. They are six endpoint recombinations within one fixed P6 diagonal.

MT selectorOrdinary fAlternate MCumulative UEqual sides
G1 close2455264563481064
G1 start2456264663471063
G2 close2457264763461062
G2 start2458264863451061
G3 close2459264963441060
G3 start2460265063431059

P6's D=5284 BC and reflected X=3709 AD remain fixed. U=8993−M runs from 6348 down to 6343, within the retained cumulative ON field. Both seasonal components use paired coordinates; a Flood close is an event-year state, not an SP-style person companion.

The ordinary Flood column accompanies the alternate column through the existing +190 profile difference; it is not an extra square vertex. No Gear is assigned to U or D: they are cumulative field members. Some newly used field members have no explicit node in the frozen graph. Their field admission and graph representation are separated in C139. These six recombinations are not six independent validations of 17K.

Source and scope control

All numerical bases in this packet stand for paired coordinates: BC base B is (B+1)t/Bn BC; reflected AD base A is AD At/(A+1)n. Thus a cross-Mirror same-season span is B+A, after the civil no-year-zero subtraction. AD stations are reflected source events, not historical AD occurrences. K=529 throughout.

Regular Gears remain restricted to Noah/Shem/Flood. Creation and Conquest are fixed source-field selections. C133–C135 corrections remain controlling. The C127 graph and canonical controls are frozen; source-field admission is distinguished from an existing graph node and from a generated comparison coordinate. No wider N01/N03 expansion or missing N03 Shem join is repaired. Original Reports 01–10 remain previously verified references; interrupted original Reports 11–25 remain unestablished. Check counts are computational assertions, not independent historical witnesses.

Evidence: CERTIFICATE.json; 42 passing assertions in RESULTS.json. The assertion list identifies the actual tests.

Edition and provenance

490d_C138_529_Mirror_Bounded_Step_20260923.md

SHA-256 943df36b8b2f272fba4af82b349f4d46c4de5de4bb3498fc6b48f1ae875969cd

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C136_C155_529_Square_Batch_20260923/C138/490d_C138_529_Mirror_Bounded_Step_20260923.md