Progress against the Research Strategy
| Strategy stage | What this continuation supplies | What remains distinct |
|---|---|---|
| A: source/state register | Eight source modules, current editions, role and count qualifications | A register does not establish textual priority |
| B: local reconstruction | Complete pre-/post-Flood row changes; nineteen shared MT/LXX rows; nine SP cap outputs | Source ages and named supports remain supplied |
| C: anchored operations | Exact Keys, finite translations and fixed-pivot integer domains | Rational composition does not guarantee integral intermediate dates |
| D: provenance graph | Six complete reconstruction routes, eighteen source-bound map arrows and dependency classes | Equal coordinates alone do not create an operation |
| E: symmetry and finite actions | Variant cube, compatible NT grouping and Toledot reflection obstruction | No unrestricted repeated Cainan or imported Mirror rule |
| F: conservation and rounding | Exact residual lift, cap information loss, complete Moses recovery and source-calibration conditions | Retained residuals are information, not independently generated inputs |
| G: common presentation | Primitive register, twelve operations, nine relation modules and six reconstruction families | No global category equivalence or minimality theorem |
| H: additional families | Existing Covenant, count, inverse and Key constructions integrated with new source interfaces | These fitted or previously examined families are not untouched holdouts |
The central unresolved task in Strategy §8 asked which local changes generate Regular and Cumulative differences and what they preserve. The continuation now answers that question for the selected complete source families, then connects the resulting mechanisms to the SP rectangle and Rounded Moses path.
The most substantial new explanatory links are the SP birth-capacity/lifespan mechanism, the complete Rounded Moses path supplying File52c’s Regular inputs jointly with its event nodes, and the distinction between the Regular row staircase and variant cube. The NT comparison demonstrates how identical birth measurements can coexist with different lifespan measurements.
These results advance the Strategy’s mathematical objective. They do not settle the historical origin of the retained source choices or convert the adopted providential interpretation into an arithmetic parameter. The next study should challenge a frozen construction on a complete source-appointed family, recording all fresh choices and prior fitting.