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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
52 lines
4.1 KiB
TeX
52 lines
4.1 KiB
TeX
\chapter{Conclusion}
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\label{ch:lce-conclusion}
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The seven engines collected in this paper form the consensus surface of
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the Lux primary network. They share a common system model, a common
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sampling primitive, and a common safety methodology. Read alone, each
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engine targets one regime: Photon for throughput, Wave for stability,
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Nova for DAG amortisation, Nebula for sparsity, Prism for parallelism,
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Ray for adaptive latency, Field for non-binary alphabets. Read together,
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they compose into the Quasar finality pipeline (LP-020) that activated
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on 25 December 2025.
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The engines were originally published as seven separate short papers in
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the Lux research catalogue. Those originals now redirect to this
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consolidated reference; their content is reproduced here verbatim with
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only label namespacing applied. Future revisions to any engine should
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land in this paper, with the breadcrumb stubs in the originals updated
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to track only the chapter location.
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\begin{thebibliography}{99}
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% Lux internal cross-references
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\bibitem{lp020} Z.~Kelling, ``LP-020: Quasar 3.0 Consensus---Three-Lane Post-Quantum Certificates,'' Lux Industries, 2025.
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\bibitem{lp073} Z.~Kelling, ``LP-073: Pulsar Threshold Signatures,'' Lux Industries, 2024.
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\bibitem{kelling2020wave} Z.~Kelling, ``Wave protocol: Decision stability and confidence monotonicity,'' Lux Industries, 2020.
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\bibitem{kelling2021flare} Z.~Kelling, ``Flare protocol: Certificate skip exclusivity with honest support,'' Lux Industries, 2021.
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\bibitem{kelling2022field} Z.~Kelling, ``Field protocol: Electromagnetic-inspired distributed consensus,'' Lux Industries, 2022.
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\bibitem{kelling2023nova} Z.~Kelling, ``Nova protocol: Supernova burst consensus for high-throughput chains,'' Lux Industries, 2023.
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\bibitem{kelling2023photon} Z.~Kelling, ``Photon protocol: Zero-latency consensus pipelining,'' Lux Industries, 2023.
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% External
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\bibitem{rocket2019wave} T.~Rocket et al., ``Scalable and probabilistic leaderless BFT consensus through metastability,'' 2019.
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\bibitem{bagaria2019prism} V.~Bagaria et al., ``Prism: Deconstructing the blockchain to approach physical limits,'' in \emph{CCS}, 2019.
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\bibitem{danezis2022narwhal} G.~Danezis et al., ``Narwhal and Tusk: A DAG-based mempool and efficient BFT consensus,'' in \emph{EuroSys}, 2022.
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\bibitem{malkhi2022bullshark} D.~Malkhi et al., ``Bullshark: DAG BFT protocols made practical,'' in \emph{CCS}, 2022.
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\bibitem{castro1999practical} M.~Castro and B.~Liskov, ``Practical Byzantine fault tolerance,'' in \emph{OSDI}, 1999.
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\bibitem{yin2019hotstuff} M.~Yin et al., ``HotStuff: BFT consensus with linearity and responsiveness,'' in \emph{PODC}, 2019.
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\bibitem{nakamoto2008bitcoin} S.~Nakamoto, ``Bitcoin: A peer-to-peer electronic cash system,'' 2008.
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\bibitem{dwork1988consensus} C.~Dwork, N.~Lynch, and L.~Stockmeyer, ``Consensus in the presence of partial synchrony,'' \emph{JACM}, 1988.
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\bibitem{gilbert2002brewer} S.~Gilbert and N.~Lynch, ``Brewer's conjecture and the feasibility of consistent, available, partition-tolerant web services,'' \emph{SIGACT News}, 2002.
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\bibitem{malkhi2019flexible} D.~Malkhi, K.~Nayak, and L.~Ren, ``Flexible Byzantine fault tolerance,'' in \emph{CCS}, 2019.
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\bibitem{gelashvili2022ditto} R.~Gelashvili et al., ``Jolteon and Ditto: Network-adaptive efficient consensus with asynchronous fallback,'' in \emph{FC}, 2022.
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\bibitem{gilad2017algorand} Y.~Gilad et al., ``Algorand: Scaling Byzantine agreements for cryptocurrencies,'' in \emph{SOSP}, 2017.
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\bibitem{penrose2003random} M.~Penrose, \emph{Random Geometric Graphs}, Oxford University Press, 2003.
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\bibitem{ising1925beitrag} E.~Ising, ``Beitrag zur Theorie des Ferromagnetismus,'' \emph{Zeitschrift f\"ur Physik}, 1925.
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\bibitem{potts1952some} R.~Potts, ``Some generalized order-disorder transformations,'' \emph{Math.\ Proc.\ Cambridge Phil.\ Soc.}, 1952.
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\bibitem{glauber1963time} R.~Glauber, ``Time-dependent statistics of the Ising model,'' \emph{J.\ Math.\ Phys.}, 1963.
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\bibitem{landau1980statistical} L.~Landau and E.~Lifshitz, \emph{Statistical Physics}, 3rd ed., Pergamon Press, 1980.
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\bibitem{binder1987theory} K.~Binder, ``Theory of first-order phase transitions,'' \emph{Reports on Progress in Physics}, 1987.
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\end{thebibliography}
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