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zeekay
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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
47 lines
1.6 KiB
TeX
47 lines
1.6 KiB
TeX
\section{Empirical Evaluation}
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\label{sec:ray-evaluation}
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\subsection{Setup}
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We deployed Ray on a 1,000-node testnet across 8 geographic regions with parameters
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$k = 20$, $\alpha = 0.8$, $\beta_{\min} = 3$, and $\lambda$ calibrated for $2^{-128}$ safety.
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\subsection{Latency Results}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}lrrr@{}}
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\toprule
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\textbf{Byzantine \%} & \textbf{Median (ms)} & \textbf{P99 (ms)} & \textbf{Improvement vs. Static} \\
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\midrule
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0\% & 200 & 300 & 64\% \\
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10\% & 350 & 600 & 38\% \\
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20\% & 500 & 900 & 23\% \\
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30\% & 650 & 1200 & 7\% \\
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\bottomrule
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\end{tabular}
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\caption{Ray latency vs. static threshold ($\beta = 14$)}
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\label{tab:ray-latency}
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\end{table}
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Under zero Byzantine faults, Ray achieved 200ms median latency (4 rounds at 50ms),
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a 64\% improvement over the static threshold of $\beta = 14$ (700ms). Under 20\%
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Byzantine, the improvement was 23\% (500ms vs. 650ms), as the adaptive threshold
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correctly increased to account for adversarial interference.
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\subsection{Estimator Accuracy}
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The adversary estimator $\hat{\gamma}$ converged to within 2\% of the true $\gamma$
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after 15 rounds (750ms), with a 95\% confidence interval width of $\pm 3\%$.
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\subsection{Throughput}
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Ray achieved 4,200 TPS on the 1,000-node testnet, comparable to the static-threshold
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protocol (4,100 TPS). The adaptive computation adds negligible overhead (one division
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and comparison per round per transaction).
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%% -----------------------------------------------------------------------
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%% 7. RELATED WORK
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%% -----------------------------------------------------------------------
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