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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
44 lines
1.5 KiB
TeX
44 lines
1.5 KiB
TeX
\section{Empirical Evaluation}
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\label{sec:nova-evaluation}
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\subsection{Testnet Configuration}
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We deployed Nova on a 1,000-node globally distributed testnet with parameters
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$k = 20$, $\alpha = 0.8$, $\beta = 11$, DAG fan-in $= 4$, and transaction arrival
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rate $T = 8{,}500$ TPS.
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\subsection{Results}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}lrrrr@{}}
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\toprule
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\textbf{Byzantine \%} & \textbf{TPS} & \textbf{Median Latency} & \textbf{Avg Burst Size} & \textbf{P99 Latency} \\
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\midrule
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0\% & 8,500 & 300ms & 425 & 500ms \\
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10\% & 8,200 & 400ms & 328 & 750ms \\
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20\% & 7,800 & 500ms & 312 & 1,000ms \\
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30\% & 6,500 & 700ms & 217 & 1,500ms \\
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\bottomrule
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\end{tabular}
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\caption{Nova performance under varying Byzantine fractions}
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\label{tab:nova-nova-results}
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\end{table}
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Under zero Byzantine faults, Nova achieved 8,500 TPS with 300ms median latency and
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average burst size of 425 transactions. This represents a 2.9x throughput improvement
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over sequential finalization (which achieves $\lambda \cdot 1 \approx 2,900$ TPS with
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the same consensus parameters).
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\subsection{Burst Size Distribution}
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The burst size distribution was approximately geometric with parameter $\lambda/T$,
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consistent with Theorem~\ref{thm:nova-burst-size}. The 95th percentile burst size was
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2.3x the mean, indicating occasional ``mega-bursts'' when multiple frontier vertices
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finalize in close succession.
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%% -----------------------------------------------------------------------
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%% 7. CONCLUSION
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%% -----------------------------------------------------------------------
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