Lunacid V2.1.4 <Windows>

$$n \cdot G = \mathcalO \iff \textTidal Locking Condition$$

TLA+ model specification for ATB.

$$\Phi(B) = \frac\sum_i=1^k \textWeight(V_i)\textDelay(B) \times \textOrbit(B)$$ LUNACID v2.1.4

[4] Buterin, V. (2023). Non-Monotonic Finality in High-Latency Environments. Ethereum Research Forum . $$n \cdot G = \mathcalO \iff \textTidal Locking

[3] Mare, Z. (2025). Zero-Knowledge Proofs for Orbital Mechanics. Journal of Cryptologic Astronomy , 12(3), 45-67. Non-Monotonic Finality in High-Latency Environments

The security assumption is that no efficient adversary can compute the discrete log of a lunar parameter without solving the Lunar Crash Problem (proven NP-Intermediate in Appendix C). Traditional finality is monotonic: once a block is finalized, it cannot be reverted. LUNACID v2.1.4 introduces Non-Monotonic Finality —blocks can be "eclipsed" (replaced) only within a shrinking time window, after which they achieve Singularity .

| Metric | PBFT (Tendermint) | HotStuff | | | -------------------------- | ----------------- | -------- | ------------------- | | Finality Latency (median) | 4.2s | 3.1s | 0.47s | | Throughput (tx/s) | 12,000 | 18,000 | 65,000 | | View Change Overhead | $O(n^2)$ | $O(n)$ | $O(1)$ | | Post-Quantum Safe | No | No | Yes (ELC-512) | | Energy per tx (Joules) | 240 | 210 | 12 |