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Bylines, paper authorship, correspondence addresses and the founder blurb under each post named an individual. They name the organisation that published the work instead: the brand on posts and pages, the research byline on papers, and research@ in place of a personal address. Both are what these repositories already used elsewhere — nothing new was coined. Co-authors are untouched. Where a paper named someone else alongside, they stay named; only the one byline changed. Bibliography entries, running heads, PDF metadata and affiliations move with it, so a citation still resolves to whoever the cited paper names. Sample and fixture data uses the placeholder name these tests already use elsewhere, so no assertion changed meaning.
98 lines
3.8 KiB
TeX
98 lines
3.8 KiB
TeX
\documentclass[11pt,a4paper]{report}
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\usepackage{../shared/luxcover}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{booktabs}
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\usepackage{enumitem}
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\usepackage{tikz}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}[chapter]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{definition}{Definition}[chapter]
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\newtheorem{remark}{Remark}[chapter]
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\title{\textbf{Lux Consensus Engines}\\[6pt]
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\large Photon, Wave, Nova, Nebula, Prism, Ray, Field\\
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A Unified Reference for the Quasar Stack}
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\author{
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Lux Research\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{2026}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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The Lux primary network finalises blocks through a stack of seven
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metastable consensus engines collectively named \emph{Quasar}. Each
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engine specialises one regime of the consensus design space and each
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serves as a reusable primitive on its own. \textbf{Photon} pipelines
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binary sampling so that per-conflict throughput is decoupled from
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per-transaction finality latency, sustaining $10{,}000$ TPS at fixed
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$500$\,ms finality. \textbf{Wave} establishes the safety primitive of
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the family: cumulative confidence counters whose monotonicity makes
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decision reversal exponentially unlikely once a colour establishes a
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lead. \textbf{Nova} extends sampling from individual vertices to DAG
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cones via a supernova-burst finalisation that closes the entire
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ancestor cone in a single round, achieving $8{,}500$ TPS at $1{,}000$
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validators. \textbf{Nebula} retains the same machinery under network
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sparsity, packet loss, validator churn and partition: stratified
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sampling with bridge validators gives graceful degradation from
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$O(\log n)$ rounds in well-connected graphs to $O(n \log n)$ at the
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connectivity threshold. \textbf{Prism} parallelises the family by
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spectral decomposition into $B$ bands: conflicting transactions land
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in the same band by construction, independent transactions are
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distributed across bands, and the aggregate throughput scales as
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$B \cdot \Theta_{\text{band}}$, reaching $50{,}000$ TPS at
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$B = 16$. \textbf{Ray} closes a feedback loop on top of any of the
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above: it estimates the live adversary fraction from the confidence
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velocity and adapts $\beta$ down to the light-speed bound of three
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rounds under benign conditions, cutting median finality by up to
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$64\%$. \textbf{Field} generalises the family to $d > 2$ colours
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through an electromagnetic potential function whose phase transition
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characterises the exact $(k, \alpha, \beta)$ regime where consensus is
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achievable, enabling validator-set elections, DAO governance and
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multi-party auction resolution under the same safety guarantees.
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This paper supersedes the seven individual engine specifications
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(\texttt{lux-photon-protocol} through \texttt{lux-field-protocol})
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that previously circulated as separate research notes. Each chapter
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here is the canonical description of one engine; a final composition
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chapter records the contract by which the engines layer into the
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Quasar 3.0 finality pipeline activated on the Lux primary network on
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25~December 2025 (LP-020).
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\end{abstract}
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\tableofcontents
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\clearpage
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%% ============================================================================
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\input{sections/00-introduction}
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\input{sections/01-photon}
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\input{sections/02-wave}
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\input{sections/03-nova}
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\input{sections/04-nebula}
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\input{sections/05-prism}
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\input{sections/06-ray}
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\input{sections/07-field}
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\input{sections/08-composition}
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\input{sections/99-conclusion}
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\end{document}
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