3179 — The Four-Corner Real–Reciprocal Orbit Adds No Scalar Channel
For (a=H(z)) and (b=H(-z)), the orbit under reciprocal reflection and conjugation is only
Since (T=a+b) and (A=a-b) recover (a,b), conjugation adds no scalar degree. At a completed zero the four-corner matrix has rank one, but this does not distinguish seam from off-seam cancellation.
Consequence
The next nonredundant rung is not another amplitude. It is a source-level 2-cell comparing reciprocal-then-conjugate with conjugate-then-reciprocal before labelled boundary currents are aggregated.
Durable verification
- Research packet: research/grothendieck/the-four-corner-real-reciprocal-orbit-adds-no-scalar-channel.md
- Structural checker: research/grothendieck/checkers/check_four_corner_orbit_scalar_redundancy.py
- Sequence claim: seqclaim-d511b5ade0c8e184afd47f87
- Graph event: ev-000000006592-ee3a068b-4d52-49a8-a0bd-edb69e3ea6dc