mirror of
https://github.com/lux-apps/papers.git
synced 2026-10-30 18:15:21 +00:00
zeekay
1ecc25e9cf
The seven engine specifications (lux-{photon,wave,nova,nebula,prism,ray,field}-protocol)
were fragmented short notes documenting layers of the same Quasar consensus stack.
This commit merges them into a single canonical reference, lux-consensus-engines.tex,
that uses one preamble, one set of theorems, one bibliography, and one composition
chapter showing how the engines layer into the LP-020 finality pipeline.
The seven originals are reduced to single-page breadcrumb stubs pointing at the
consolidated paper; their sections/ content is preserved on disk for git history.
- new: lux-consensus-engines/ (50 pages, 646KB PDF, ~2900 lines tex)
- breadcrumbs: each original keeps cover + title + stub paragraph naming its chapter
- composition: chapter 9 records the layered contract Photon < Wave < Nova < ...
- bibliography: consolidated from the seven original thebibliography blocks
55 lines
2.1 KiB
TeX
55 lines
2.1 KiB
TeX
\section{Empirical Evaluation}
|
|
|
|
\label{sec:wave-evaluation}
|
|
|
|
\subsection{Testnet Configuration}
|
|
|
|
We deployed the Wave protocol on a 500-node testnet spanning 5 geographic regions
|
|
(US-East, US-West, EU-West, Asia-Pacific, South America) with inter-region latencies
|
|
of 50--200ms. Validators ran on 4-core VMs with 8GB RAM.
|
|
|
|
\begin{table}[h]
|
|
\centering
|
|
\begin{tabular}{@{}ll@{}}
|
|
\toprule
|
|
\textbf{Parameter} & \textbf{Value} \\
|
|
\midrule
|
|
Validators & 500 \\
|
|
Sample size $k$ & 20 \\
|
|
Quorum fraction $\alpha$ & 0.8 \\
|
|
Acceptance threshold $\beta_1$ & 11 \\
|
|
Round interval & 50ms \\
|
|
Byzantine validators & 0\%, 10\%, 20\%, 30\% \\
|
|
\bottomrule
|
|
\end{tabular}
|
|
\caption{Testnet configuration}
|
|
\label{tab:wave-testnet}
|
|
\end{table}
|
|
|
|
\subsection{Convergence Speed}
|
|
|
|
Under no Byzantine faults, 99.97\% of transactions finalized within 4 sampling rounds
|
|
(200ms). With 20\% Byzantine validators, 99.5\% finalized within 8 rounds (400ms).
|
|
At 30\% Byzantine validators (near the theoretical limit), 98\% finalized within 15
|
|
rounds (750ms), with the remaining 2\% requiring up to 25 rounds due to adversarial
|
|
equivocation creating temporary population splits.
|
|
|
|
\subsection{Throughput}
|
|
|
|
The Wave protocol processed 2,800 transactions per second on the 500-node testnet.
|
|
The bottleneck was network bandwidth for query/response messages rather than computational
|
|
cost. Each sampling round required $k = 20$ query messages and 20 response messages per
|
|
validator, totaling $2 \times 20 \times 500 = 20{,}000$ messages per round network-wide.
|
|
|
|
\subsection{Confidence Counter Evolution}
|
|
|
|
We tracked the confidence counter evolution for 10,000 randomly selected transactions.
|
|
The median trajectory showed $d_1$ reaching $\beta_1 = 11$ in 14 rounds, with $d_0$
|
|
never exceeding 1. In adversarial scenarios ($\gamma = 0.2$), the median trajectory
|
|
showed $d_1$ reaching 11 in 19 rounds, with $d_0$ reaching at most 3 before the population
|
|
converged.
|
|
|
|
%% -----------------------------------------------------------------------
|
|
%% 9. COMPARISON WITH SLUSH AND FLARE
|
|
%% -----------------------------------------------------------------------
|