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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
45 lines
2.2 KiB
TeX
45 lines
2.2 KiB
TeX
\chapter{Introduction}
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\label{ch:lce-introduction}
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The Lux primary network finalizes blocks via a stack of independent yet
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complementary consensus engines collectively named \emph{Quasar}. Each
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engine targets a distinct regime in the latency--throughput--connectivity
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design space, and each is reusable as a standalone primitive. Prior
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technical notes documented these engines as separate short papers; the
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fragmentation obscured the fact that they share a single system model, a
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single safety methodology, and a single set of empirical baselines.
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This paper consolidates seven engine specifications into a single
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reference. Each chapter is the canonical description of one engine. A
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final chapter shows how the engines compose into the Quasar finality
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pipeline that underlies Lux mainnet (LP-020).
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\section*{Engine map}
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\begin{center}
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\renewcommand{\arraystretch}{1.2}
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\begin{tabular}{p{2.4cm}p{4.2cm}p{6.6cm}}
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\toprule
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\textbf{Engine} & \textbf{Regime} & \textbf{Property} \\
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\midrule
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Photon & high arrival rate, single conflict set & zero-latency pipelining, sustained throughput at arrival rate \\
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Wave & DAG ordering, binary metastable & confidence monotonicity, decision stability \\
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Nova & DAG-native subgraph finalization & supernova-burst amortization across cones \\
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Nebula & sparse / lossy / churn-prone networks & stratified sampling with bridge validators \\
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Prism & multi-conflict parallelism & spectral decomposition into independent bands \\
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Ray & adaptive latency vs. adversary fraction & confidence-velocity-driven $\beta$ adaptation \\
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Field & multi-valued (non-binary) decisions & electromagnetic-potential Lyapunov convergence \\
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\bottomrule
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\end{tabular}
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\end{center}
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\section*{Common system model}
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Throughout this paper, the validator set is denoted $V$ with $|V| = n$,
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sample size $k$, supermajority fraction $\alpha \in (1/2, 1]$, finality
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threshold $\beta$, Byzantine stake fraction $\gamma < 1/3$, and round
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time $\Delta$. Each engine specializes this model (e.g., Photon adds a
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pipeline depth $m$; Field adds a colour cardinality $d$; Nebula adds
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expansion factor $\phi$). The originals of these papers can be located
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in the breadcrumb stubs at \texttt{papers/lux-\{photon,wave,nova,nebula,prism,ray,field\}-protocol}.
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