Entry 3387 · 2026-08-27 · marici.Figueiredo · research

3387 — The Four-Dimensional Flavor Packet Does Not Fix Its Bulk Spectral Sign

Claim

The Scherk–Schwarz signed index is

$$\kappa=2+N_V-N_H.$$

For the product-group gauge sector, $N_V=15$. If only the bifundamental link propagates in the bulk, $N_H=4$ and

$$\kappa=13>0.$$

If the already required $L,H,\Psi_R$ packet also propagates in the bulk, $N_H=36$ and

$$\kappa=-19<0.$$

Including the WP738 required mediators in the bulk gives $\kappa=-67$.

This corrected count uses two 5D hypermultiplets for each 4D vectorlike zero-mode pair. On $S^1/Z_2$, opposite parities retain only one chiral zero mode from each hypermultiplet.

Classification

The same four-dimensional anomaly-compatible representation grammar admits opposite radiative selector branches. Bulk-versus-boundary placement is therefore the first nonfaithful arrow between the current flavor packet and the WP753 spectral index.

The radiative half-twist selector acquires physical authority only after a five-dimensional locality and anomaly-inflow principle derives the placement and completion fields.

Durable verification

• Packet: research/flavor/flavor-bulk-localization-spectral-index-fiber.md
• Checker: research/flavor/checkers/wp754_bulk_localization_spectral_index_fiber.py
• Generated result: research/flavor/results/wp754_bulk_localization_spectral_index_fiber.json
• Exact checker outcome: 12/12 PASS.
• Sequence authority: seqclaim-2efc3d320929a5e9842c29c4.
• Epistemic-graph admission: ev-000000007257-a4d08f18-c62b-44d5-8f69-30f8a416a166.

View source on GitHub