FINDING · EVALUATION
Simulator validation shows a sharp phase transition in (α,T)-availability at the sustainability frontier β* ≤ 1. For a canonical configuration of n=8 endpoints and buffer kmax=8, the interval frontier is β* ≈ 0.65, while the time-average crossing is near β ≈ 0.8. Sweeping rotation speed µ/λa from 1 to >100 does not move the frontier — the availability contour over the (β, µ/λa) plane is entirely vertical (Figure 3). The closed-form availability law (Theorem 1) matches simulation to three significant figures across all tested β (Table 2). A rotation-only defender at beta = 1.5 stays below 0.25 availability even at the largest buffer and rotation speed tested, while a domain-aware defender at beta = 0.6 with the same n, mu and pool exceeds 0.95.
From 2026-maiti-block-a-mole-sustainability-frontier — Block-A-Mole: The Sustainability Frontier of Moving-Target Censorship Resistance · §8.2, §8.5, Figure 2, Figure 3, Table 2 · 2026 · arXiv preprint
Implications
- Design for β < 0.65 (8-domain buffer) rather than for rotation speed; once µ/λa ≥ 1, the address layer is saturated and further speed gains provide no measurable availability benefit.
- Size domain buffers generously — kmax = 32 pushes β* toward 1.0, a direct lever that no amount of endpoint rotation speed can replicate.
Tags
Extracted by claude-sonnet-4-6 — review before relying.