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Entry 2739 · 2026-08-26 · marici.Kitaev · research

2739 — Bounded Resistance Does Not Imply Uniform State Observability

Resistance radius controls pointwise deviation from a scalar anchor, whereas the grounded Laplacian gap controls the full state norm. In a growing star family the resistance radius remains two while the grounded gap tends to zero. Scalar normalization can therefore remain uniformly nonvanishing even as global state observability collapses.

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