# How do the findings change with the block production rate f? All prior studies fixed f=1/30 # (one block every 30 s, since 1 slot = 1 s). f sets the block interval 1/f, which the uncle-window # study showed is what drives the required W — and a denser block rate means a given delay spans # more blocks, so more forking. Here we compare block intervals of 10, 15, 20, 30 s (f = 1/10, # 1/15, 1/20, 1/30) across delay, uncle cap U, and window W. Blend mixnet, geographic transport. n_nodes: [1000] # single N (the f-dependence is the focus) stake_dist: [pareto] # heavy-tailed (realistic) stake distribution topology: [blend] # Blend mixnet (multi-slot delay) degree: [6] # peering degree of the d-regular graph link_latency_mean: [0.5] # natural geographic transport (sub-slot) link_latency_dist: [geo] # real-world geographic band mixture blend_hops: [3] # fixed hop count blend_delay_max: [4.0, 8.0, 16.0, 32.0] # per-hop mixing delay (slots = seconds) uncle_window: [30, 100, 300] # W: a few windows to see the W-vs-f interaction max_uncles: [0, 1, 2] # U: baseline, one uncle, two uncles uncle_strategy: [oldest] # uncle selection: oldest-first fill init_dest: [common] # per-node initial D_est from agreement # f = 1 / (block interval in seconds): 1/10, 1/15, 1/20, 1/30. Everything else (epoch/window # geometry) derives from (k, f), so a denser f simply shortens the epoch and packs blocks closer. f: [0.1, 0.06666666666666667, 0.05, 0.03333333333333333] replicates: 10 # independent RNG replicates per grid cell base: # per-run settings shared by every cell k: 2160 # true security parameter epochs: 20 # equilibrium reached within ~2 epochs; burn 50% genesis_d_factor: 0.5 # start near true stake (cheap epoch 0) early_stop: true