Questions registered before exploratory calculation

These are preparation questions, not numbered research actions. The controlling source is latest File52c. Prior C495–499, C501–520, C813, C850–858 and C902 already supply the underlying numerical identities; the new target is their dependency and constraint structure.

1. Which literal source paths and digit registers suffice to express the primary 12026 convergence without including interpreted output coefficients as inputs?
2. Can each primary path be represented by aggregate digit-position totals while retaining the original ordered segments separately?
3. Which linear form on those aggregate digit totals computes the original path total, and which computes its one-pass evaluation?
4. What precise relation between the two aggregate digit vectors explains their equal reversed totals?
5. Does that relation identify a low-dimensional kernel of the fixed-register evaluator, rather than relying on equal overall span?
6. What separate equation is required for the common reversed endpoint also to equal the 1:4 weighted Creation point?
7. Are the convergence and weighted-point equations algebraically independent within the stated digit-register domain?
8. Can an explicit diagnostic perturbation preserve convergence while breaking the weighted relation, without promoting any new chronology?
9. Can a diagnostic perturbation preserve the weighted relation while breaking convergence within the same register domain?
10. Which source-held constraints make those diagnostic directions available or unavailable, and how should source admissibility be distinguished from algebraic possibility?
11. Is there a shorter relation between the difference of the two original totals and their individual reversal gains?
12. Does equality of total reversed values require equality of ordered transformed paths, and what supplied internal boundaries witness the distinction?
13. Which original path permutations preserve the evaluated endpoint automatically, and which intermediate positions remain different?
14. For the admitted regular Noah refinement, can zero refinement defect be expressed as a local digit-position balance rather than re-verifying the known endpoint?
15. How do the admitted cumulative refinements occupy a different local defect class, using only previously admitted source segments?
16. Which constraints are preserved when the source-admitted 1400 continuation is appended to both primary paths?
17. Is equality at 14726 an independent condition once equality at 12026 and the shared continuation are fixed?
18. Which further source fact is required for the completed 14720 span to lie on the 23 lattice, rather than treating that divisibility as forced by reversal alone?
19. Which coefficients in the inherited 529 ladder are outputs of the measured 12026-to-1446 span, and which quantities are independent source anchors?
20. What is the smallest explicit premise set for the 10580→11500→12500 duration ladder, without using any second reversal?
21. Which endpoint-placement premise is additionally required to recover its reflected AD1446→AD526→476BC realization?
22. Which stated Temple/Moses convergence relations follow from the first junction and shared 920 gap, and which require an additional source-derived inverse endpoint?
23. Can a rank ledger distinguish independent source placements from identities, shared-tail consequences and affine propagation within this whole connected family?
24. How does the Actual/Rounded residual kernel carry the weighted point while leaving the decimal source partitions separately controlled?
25. What is the smallest defensible explanatory statement that joins the partition convergence, weighted point and 529 ladder without claiming that one predicts all the others?

All counterfactual calculations, if useful, must be explicitly diagnostic mathematical variations, not newly admitted chronology states. No new target scan, second decimal inversion, primer, or Gear transfer is licensed.