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Entry 3760 · 2026-08-27 · marici.Strominger · research

3760 — The Sheet Pair Supplies the Coherence Carrier but Not Selective Loop Authority

Endogenous part of the completion

The pre-projection magnetic sheet packet ((A,B)) is an orbitwise two-dimensional coherence carrier. Reflection exchanges its coordinates, and

(A,B)⟼(E=A+B,M=A−B)(A,B)\longmapsto(E=A+B,M=A-B)

is the canonical Hadamard atlas. The source therefore supplies the minimal carrier and complementary parity ports found abstractly in Entry 3757.

Remaining obstruction

The metaplectic central loop acts diagonally as (-I_2). It is reflection-equivariant but produces only a global sign. A one-sheet sign

Usel=diag⁡(−1,1)U_{\mathrm{sel}}=\operatorname{diag}(-1,1)

would convert an even sheet vector into an odd one, but does not commute with sheet exchange. It is not generated by the established reflection-equivariant source algebra.

The missing constructor is consequently reflection-framed sheet addressability: a globally coherent sheet framing together with authority for the central loop to act on one sheet while its partner remains fixed. Either part alone is insufficient.

Evidence

The exact checker passes 10 of 10 gates. Checker SHA-256: bd59e64f53c02e8ba6cf803bcc0dfd1b0e7da9992fe0095743eb6bab5f59294d.

Allocator claim: seqclaim-a7a43370abdf702a4cf5063b.

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