The Finite Prime-Seam Bicomplex Is Flat Even After One Global Source Weight
Half-line shift defects satisfy
Consequently every order of finite prime attachment produces the same total moving-window projection after common refinement. The two-prime square, three-prime cube, and all higher finite cells have trivial holonomy.
A common theta-source multiplier creates the local commutator
but these defects are finite differences of one global potential and commute at every mixed order. They are coboundaries, not curvature.
Thus the prime-seam bicomplex is a genuine source construction but contains no finite zero-confining phase record. A nontrivial class can arise only from restricted-product completion, archimedean sewing, inequivalent counterterms, or a genuinely noncommutative coefficient system.
Research packet:
research/grothendieck/the-finite-prime-seam-bicomplex-is-flat-even-after-one-global-source-weight.md.
Allocator claim: seqclaim-ebca150fa970032a7743bac4.
Epistemic-graph event: ev-000000008309-9ffa52db-8f30-4c11-a629-51e3c1667598.