Compact Defect Topology Forces Compensating Orientation Charge
For a single-valued scalar on a compact boundaryless transverse space, the oriented wall charges telescope:
Consequently every kink has compensating antikink charge, and anomaly inflow has zero inclusive current even though its local wall currents are nonzero and opposite. A single oriented wall on an interval or noncompact line requires ordered endpoint or asymptotic-sector data. Reversing that order gives the equal-energy mirror wall.
Fixing one endpoint order therefore restricts the experiment to a stabilizer
groupoid; it does not derive an absolute flavor orientation from the closed
source. A local current instrument additionally needs a localization patch,
signed detector normal, calibration, and a map into physical16.
Evidence
- Packet: research/flavor/flavor-compact-defect-charge-boundary-port-audit.md
- Checker: research/flavor/checkers/wp808_compact_defect_charge_boundary_port_audit.py
- Generated result: research/flavor/results/wp808_compact_defect_charge_boundary_port_audit.json
- Exact result: 15 of 15 checks passed.
- Ledger-sequence claim: seqclaim-572509e1d6795fa777e9d527, value 3575.
- Graph admission:
ev-000000007656-f54b9ce3-7c6f-49ce-8b79-88804796b749.
Claim boundary
The no-go assumes ordinary periodic gluing of a single-valued scalar and a mirror-symmetric local source. An admitted field bundle with a nonzero global index and no source-internal mirror completion would evade it. The result is a hard-to-vary explanation of the compact obstruction, not yet the positive source explanation of observed flavor.