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490d Mirror checkpoint after C265

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490d Mirror checkpoint after C265

23 September 2026. Latest completed step: C265. Continues C205; this is not a recovery restart.

All sixty authorized steps C206–C265 are complete. The six endpoint routes, their 191-year center offset and their δ=2 /1060 squares are integrated. Peleg-number contacts remain arithmetic associations without a new incident event path.

K=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.

Regular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.

Verification through this checkpoint: 727 step-specific checks plus 1140 repeated frozen-input checks. Every ten-step block has an isolated byte-identical replay. Every certificate points to its predecessor by SHA256.

StepBounded result
C206Two fixed Creation anchors and their interval centers
C207Half-width gains of 299 and 325
C208The center curvature is half the inherited 52
C209The two right-endpoint midpoints have unequal source status
C210Expansion of the two halves around the named death
C211Holding the cumulative left boundary instead of Creation
C212The fixed SP 17-fold center crosses the 13-fold centers
C213The MT 17-fold center supplies a second fixed reference
C214Two anchored maps related by a two-year translation
C215Uniqueness and scope of the Creation-anchored map
C216A finite audit of the anchored map on named coordinates
C217The generated midpoint remains outside all retained Noah-death rails
C218Expansion intertwines 598 and 650 translations
C219A fixed 650 translation does not commute with expansion
C220The next iterate leaves the annual endpoint lattice
C221The retained 598–52–598 source rectangle
C222The expanded rectangle preserves lengths but loses source support
C223The midpoint carrier 552→600 belongs to the same ladder
C224Center dilation and seasonal-pair restoration
C225Admission boundary for the local expansion maps
C226Centers of the cumulative 17-fold expansion
C227Holding Creation while the macro Noah endpoint moves
C228The 868 prefix becomes center gaps 434→664→914
C229The 7-and-10 split explains both macro width and center drift
C230Proportional Creation movement preserves a scaled prefix
C231Three anchor choices agree only at the original attachment
C232The local and macro maps differ by their fixed anchor
C233Integral expanded square vertices do not preserve ordinary Creation
C234Fractional endpoint parts cancel in the 13-fold width
C235Keep the local stage and macro stage separate
C236Global reflection gives a right-anchored dual ladder
C237The 8×529 complement yields generated dual anchors
C238Reflection reverses the order of the fixed center partition
C239The fixed native 11-fold prefix inside all three 13-fold intervals
C240The 1656 tail and the MT antediluvian span have distinct endpoints
C241The first expanded 11-fold endpoints are generated
C242The second 11-fold expansion reaches the preceding MT Flood Gear
C243The 6875 interval center is one year earlier than the 6877 center
C244The two families create a 529→575→625 center-separation ladder
C245Endpoint recovery in the coupled 11- and 13-fold construction
C246All seven native 11-fold pairs yield six sourced final endpoints
C247No intermediate endpoint matches the held Noah/Shem/Flood register
C248P6 gains a sourced 6875 close endpoint without repairing its 6877 gap
C249The sixth row supports a final Flood endpoint but lacks the old cumulative start
C250The closing member and full-week residual remain excluded
C251A shifted apparent anchor does not preserve the native endpoint result
C252The source Conquest-to-Flood tail is 1056, not 1058
C253The final 1250 interval has same-Gear Noah/Flood endpoints
C254Six source-qualified 17-fold routes with a new internal subdivision
C255The 8-fold preimage makes the residual redistribution explicit
C256The double-11 selector chooses same-Gear rather than next-Gear Flood
C257N04 and the P6 double-11 interval share a center with different endpoints
C258The selected 6875 interval lies 191 years before the SP 17-fold center
C259The same six selections realize the inherited δ=2 square
C260P6 start and close cases remain two different residual states
C261Two Peleg-number contacts exposed by the 6875 selection
C262The Peleg contacts do not supply a new contiguous event path
C263A minimal dependency description of the coupled families
C264Completion inventory with source and generated statuses separated
C265Sixty-step synthesis and verified stopping point

The authorized batch ends at C265. Best next bounded step C266: check the seven generated intermediate centers 1905–1911 against a finite fixed post-Flood MT event register, distinguishing numerical contact from endpoint identity and adding no regular Gears. C266 is proposed, not executed.

Linked sources and evidence

Edition and provenance

C265_CHECKPOINT.md

SHA-256 63d5e75563ec419c6be3d9ed54c6e4663478095a7cfbe6eb0de1483368ae8c59

C480–C1634/Research_Cycles/C0480_Bridge/sources/C265_CHECKPOINT.md