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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Whole local original action has neutral and charged global completions

In the question: Automatic response search with original-source decision

Given single-field quarter CAR source for both alpha values. Not two complete P1 sources,not a measure choice or P1 interval/OS-time identification. Diagnostic bump is not a physical source/reference selection. Retain separately established half-kink/spinor transport.

Read the exact result, assumptions and evidence

Result

The existing Weyl U=W(-phi),phi(theta)=4theta b(8theta mod2pi),with b1 onJ and compactly supported inI away from the quotient cut,is smooth periodic and has charge0. Its adjoint action on ALL CAR words over the eight preimage arcs equals the original global charge4 W4. This is equality of local adjoint responses,not full source amplitudes or normalization.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

  • Given eightfold even CAR quotient with marked charge and source time

    Use existing fold eta_r(x)=psi((x+2pi r)/8)/sqrt8, local even rank8 CAR algebra on punctured quotient circle, fixed D8 Cartan chart and q=(1)^8, original current normal ordering/Weyl rule, and declared K_alpha source time. DHR sector labels/local von Neumann statement use standard locally normal even-CAR reference/Haag-dual vacuum-net representation. Assume neither normal local P1 single-interval identification,primitiveOS time,spin-structure sum nor bounded sharp spinor field.

Original evidence

finding:r099-original-local-adjoint-action-has-different-global-winding-completions