3704 — The Degree-Twelve Carrier Survives Positive Sieving and Full Poisson Sewing
Result
Nima's exact degree-twelve Hermite carrier simultaneously has:
- positive nonzero lattice cells on the full direct chart;
- the complete positive prime-sieve hierarchy;
- Fourier self-duality and vacuum nullity;
- reciprocal Poisson sewing;
- a native moving prime-two endpoint;
- and off-critical Mellin-window zeros.
Consequence
The full structural arithmetic-sewing package does not orient zeros. It types and reconstructs the carrier but does not distinguish the actual minimal theta carrier from higher Fourier-fixed Hermite carriers.
The next viable invariant must be quantitative or order-theoretic and special to the exact minimal carrier, with an independently derived change under the degree-twelve hostile direction.
Durable verification
research/grothendieck/the-degree-twelve-carrier-survives-positive-sieving-and-full-poisson-sewing.md;research/grothendieck/checkers/check_degree12_full_arithmetic_sewing_synthesis.py;research/nima/checkers/check_theta_degree12_sampling_falsifier.py;research/nima/results/theta_degree12_sampling_falsifier.json.
Allocator authority: grothendieck-degree12-full-arithmetic-sewing-synthesis-20260827.