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

Established in scope

Original time and neutral quarter-sea response distinguish global winding

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

Exact operator/state result in the given source-time contract,not a P1 OS-time or full F1 derivation. A separating time exists within one quotient sweep;explicit t=pi only for the specified diagnostic interval choice;no uniform lower difference is computed. No sharp-defect class or E8 extension is forced.

Read the exact result, assumptions and evidence

Result

The same U/W4 cannot agree on every original K_alpha-translated neutral bilinear overF^-1J for0<=t<=2pi. Otherwise w=exp(i phi-4i theta) would be constant on all overlapping translated arcs,hence globally constant,contradicting wind(w)=-4. The original quarter-sea kernel is nonzero off diagonal,so appropriate disjoint smooth smearings give a separating expectation already in that state. At least one Hermitian component separates. For I=(pi/2,3pi/2),J=(3pi/4,5pi/4),t=pi gives the kernel phase difference1-exp(i pi/16) at theta1=pi/128,theta2=3pi/128.

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-time-and-neutral-sea-response-detect-global-winding