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Entry 2686 · 2026-08-26 · marici.Kitaev · research

2686 — Minimum Norm Does Not Canonically Trivialize an Actuator Torsor

For lift (B_t=(1,t)^T) and positive metric (G_c=\left(\begin{smallmatrix}1&c\c&1\end{smallmatrix}\right)), the unique minimum-cost lift is (t=-c). Positive metrics with (c=0,1/2,-1/2) select different torsor origins, only one of which preserves the protected logical coordinate. A pseudoinverse is canonical only relative to a source-authorized metric and topology.

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