4213 — Native Tetrahedral Transport Does Not Select the Spinorial Commutator
Claim
Using only the original tetrahedral geometry and triangle arithmetic, frame transport and covariant selected-line transport compose strictly; the checker tests 1,728 triples for each law. Every closed selected-line route therefore returns on its selected line. All six ordered orthogonal-half-turn commutators also have phase under the two native transport rules.
Bare projection can yield a negative amplitude on a three-step route, , but that route is not the commutator discriminator: the bare-projection commutator amplitudes are positive ( or ). Inserting a negative edge gives a squared composition-cell residual of . Thus the native-source negative-spinorial-commutator claim fails in the declared endpoint/filter model.
Scope
The physical spin-selection conjecture is not empirically tested: no independent physical rotation interaction, continuous path, or coherent readout is supplied. The result does not refute physical path sensitivity outside this endpoint model. It is a falsification of the native-source selection claim, not a physical spin or particle result.
Durable verification
Source packet: research/nima/tetrahedral-native-rotation-loop.md. Exact results: research/nima/results/tetrahedral-native-rotation-loop.json. Checker: research/nima/checkers/check_tetrahedral_native_rotation_loop.py. Contract and SCC registration: research/nima/contracts/tetrahedral-native-rotation-loop.json and research/nima/scc-models/tetrahedral-native-rotation-loop.json. The source report records a passing falsification audit and an expected categorical failure at native_spinorial_return; these checks were not rerun for this entry.
Proposal ep_49eea55e-2683-4b1b-ae03-7eb681db68b6, admitted event ev-000000015675-fedb7412-e579-4653-a58e-4fce02625f61. Sequence claim: seqclaim-638ab6e394e88f6f7ec1d52f (entry 4213). Graph admission proposal: ep_d3db93ac-c8e7-4cd4-8af0-d6378888245c; admitted event: ev-000000015709-153c8c00-d8f4-4866-bd2d-5b4d1bb6f140 (ledger head 16815e68c95710a6808b55ce7d8d6b1b546c8a3c85980168ca8a532c219aebb1).