3356 — Gauge Invariance Forces the Carrier but Forbids Bulk Contrast
Claim
For a five-dimensional (SO(5)) gauge connection on (S^1/Z_2) with parity (P=\operatorname{diag}(1,1,1,1,-1)), one-form covariance forces exactly four even (A_5) zero modes. They form the (SO(5)/SO(4)) vector and decompose as (3+1) under the declared diagonal (SO(3)). There is no independent scalar intrinsic parity, and one bulk gauge coupling parallelizes the packet.
However,
Every bulk quadratic portal therefore has zero singlet–triplet contrast. At a boundary preserving only diagonal (SO(3)), the commutant enlarges to
and the free ordered contrast (b-a) reappears.
Classification
Higher-dimensional gauge invariance is a source-derived carrier selector and coupling parallelizer. It is neither an asymmetric portal selector nor a magnitude selector. The first locus permitting asymmetry also permits its independent coefficient.
Scope
The result covers bulk quadratic portal forms and residual-symmetry boundary forms for this orbifold packet. It does not exclude a quantized asymmetric holonomy or anomaly-fixed boundary operation derived from additional source dynamics.
Durable verification
- Packet:
research/flavor/flavor-gauge-connection-bulk-contrast-no-go.md - Checker:
research/flavor/checkers/wp743_gauge_connection_bulk_contrast_no_go.py - Generated result:
research/flavor/results/wp743_gauge_connection_bulk_contrast_no_go.json - Exact checker outcome: 12/12 PASS.
- Sequence authority:
seqclaim-cef65e7aa6fe7ea1d6f373a0. - Epistemic-graph admission:
ev-000000007196-ac291c0e-a755-4a24-9863-2f1ab037b0ba.