Research outcome — C932–C1131
The main advance is a connected explanation of chronological families. Ordered source rows supply the structure; selected measures and operations generate the comparisons; retained labels, source states and placement distinguish the resulting chronologies.
The strongest local bridge is the SP Flood cap. The begetting chain determines each ancestor’s distance to the Flood. The smaller of baseline lifespan and inclusive capacity reproduces the complete nine-row lifespan field. Jared, Methuselah and Lamech supply reductions of 115, 249 and 124, totaling 488. Ordered accumulation carries those reductions into every affected Cumulative boundary. Row rounding then explains the further change in the Rounded comparison. The rule also explains information loss: capped lives cannot recover how far the original baseline exceeded the limit.
The Rounded inverse junction is explained within its declared digit register. The regular total forces one aggregate digit pattern. The cumulative total permits two; the source partition selects the shared 10620 branch. With Conquest 1406, this places the common endpoint at 12026. Continuation to 14726 uses the original 1400 Conquest–Nativity tail, reversed once to 4100. The four complete paths total 14720 and receive integral Priestly completion at 16000, while their proper internal prefixes remain fractional. Convergence and integral completion repeat the same selection condition within the fixed two-branch domain.
The wider connections now have a dependency ledger. Calendar calibration and allocation equations contain three independent conditions in their declared four-equation system. The clutch’s first join follows from its definition, the second from the shared Levi lifespan, and the next uses the retained 147 relation. Ordered lists show when measurements recover all source counts without reducing the supplied data. Literary grouping shows why preserving multiplicity may recover a measure while failing to preserve reflection.
The result supplies the Strategy’s four requested components: a compact input register, an operation inventory, relations among operations, and a reconstruction ledger. Existing Jubilees, macro and Sothic/SKL comparisons are retained as inherited context. The synthesis does not establish historical transmission, statistical rarity or a uniquely smallest grammar.
The independent mathematical reviews pass their stated checks; source-pointer and scope corrections remain visible in the record. Latest File52c controls Rounded interpretation, source originals remain unchanged, and second decimal inversion remains deferred.
The next proposed research question concerns what the cap cannot recover: which further source relations explain the remaining SP ages, the Jared–Enoch split without retaining Enoch’s age, and discarded lifespan excesses? This is an unresolved-input question with a complete local field, not a new endpoint search.