nx_chaos_logistic_gate.nx

nx_chaos_logistic_gate.nx -- resumes the nishi-library SIM workstream's stated next step: "no-float determinism UNDER CHAOS = live proof of the Reproducibility-EXCEEDS axis." Vehicle = the canonical discrete chaotic system, the LOGISTIC MAP x' = r*x*(1-x), in pure integer/no-float fixed point (micro-scale S=1e6, r scaled by RD=1e3). Reordered to avoid i64 overflow: x*(S-x) <= 2.5e11, *R <= ~1e15, / (RD*S=1e9). Stays in [0,S] for r<=4. THREE properties, each MEASURED, with a liar-kill so GREEN means something: (1) SENSITIVE DEPENDENCE: two seeds 1 micro-unit apart (0.200000 vs 0.200001) DIVERGE to O(S) at r=3.9 (chaotic) -- the butterfly effect, measured as max separation after burn-in. (2) DETERMINISM / REPRODUCIBILITY: the SAME integer trajectory recomputed gives a BIT-IDENTICAL divergence number -- no-float => exactly reproducible even in the chaotic regime (the EXCEEDS property an IEEE-754 sim cannot guarantee under reordering). (3) NEGATIVE CONTROL (liar-kill): the SAME 1-unit-apart seeds at r=2.5 (non-chaotic, converges to the fixed point 0.6) do NOT diverge -- so the gate cannot be fooled into calling order "chaos". GREEN requires chaos-diverges AND order-does-not AND chaos-is-reproducible. Sovereign: imports only nx_syscalls. Additive. license_tier: ORIGINAL