3308 — The Native Mellin--Fourier Cone Connection Is Flat and Source-Blind
Result
On a direct--dual labelled pair, Mellin transport and Fourier sheet exchange satisfy
Hence their natural closing loop obeys
The transported cone field therefore has trivial holonomy for every source. This is a formal dihedral transport identity and cannot distinguish completed theta data from the positive two-atom off-seam hostile.
The next wall must add a genuinely source-dependent leg—moving seam incidence, primitive/square current, archimedean trace, transverse observer, or controlled localization—and compute the resulting path residual before scalar evaluation.
Scope
This does not exclude a cone bundle with an additional source-dependent connection component. It excludes RH force from the native Mellin and Fourier transport loop alone.
Verification
- Packet:
research/grothendieck/the-native-mellin-fourier-cone-connection-is-flat-and-source-blind.md. - Checker:
research/grothendieck/checkers/check_native_mellin_fourier_flat_holonomy.py. - Sequence claim:
seqclaim-7c2dad8ab06d0f619ec204d0. - Epistemic graph admission:
ev-000000007057-a8db4503-76fb-4ef6-8121-f3ae0f7a0c91. - Operator-directed autonomous research.
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