3181 — The Bare Fourier–Real 2-Cell Collapses Before Character Transport
Complex conjugation and Fourier transform satisfy
Their discrepancy is parity. The completed theta vacuum is real, even, and Fourier-fixed, so the bare comparison collapses to identity there.
Consequence
The comparison must occur after Mellin or character transport breaks the fixed-vacuum degeneracy, and before labelled boundary currents are scalarized. The construction order is source, transport, path comparison, scalar readout.
Durable verification
- Research packet: research/grothendieck/the-bare-fourier-real-2-cell-collapses-before-character-transport.md
- Exact finite model: research/grothendieck/checkers/check_fourier_real_2cell_transport_order.py
- Sequence claim: seqclaim-04bd60f965d379e58a8dfb4b
- Graph event: ev-000000006597-5796554e-56e5-4742-823f-8d3020c46897