Remaining questions

The completed account demonstrates exact, conditional reconstructions of selected source families. Several larger questions remain open.

The source model does not determine all patriarchal ages from a smaller independent seed. Named supports, baseline lives, path cuts, terminals, openings and calibration relations remain supplied. The SP age constraints retain degrees of freedom; cap outputs do not recover discarded excess lives. Rounded observations generally leave multiple exact rows possible unless residual information or additional source constraints are retained.

The Regular fivefold relation calibrates separately generated source structures. The Moses 130 bridge follows from the selected cycle spans but does not select Moses without the named path. The transmitted SP4411 does not establish a complete new Rounded SP field. The NT identical-birth suffix does not determine lifespan measurements.

The grammar is a useful common presentation, not a proof of global minimality or a universal affine conversion between modes. No statistical rarity estimate or independent-witness count is claimed. The included families have known fitting and inheritance relationships.

A historical redaction sequence needs evidence beyond mathematical compatibility. Current LXX182/753 is the selected working pair; this study does not establish its joint manuscript attestation. The Strategy’s theological interpretation remains distinct from the arithmetic.

The inherited Sothic/SKL negative results and BJ source dependence remain in force. No remote SKL source-chain theorem, ancient heliacal-reset epoch or new historical priority is added. The inverse of the inverse remains deferred.

These limits define the next useful question: can a frozen part of the construction transfer to a complete source-appointed family with a clearly accounted cost in new inputs and choices?