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Restructured from flat .tex/.pdf files into per-paper subdirectories. Added Antje Worring as co-author on all papers. Synced PDFs to pdfs/ for download site.
41 lines
1.7 KiB
TeX
41 lines
1.7 KiB
TeX
\section{Consensus Architecture Context}
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\label{sec:architecture}
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FPC operates within Lux's physics-inspired consensus architecture, which uses a wave-based metaphor to organize consensus primitives:
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\begin{figure}[h]
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\centering
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\begin{tikzpicture}[
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node distance=2.5cm,
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every node/.style={draw, rounded corners, minimum width=3cm, minimum height=1cm},
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arrow/.style={->, >=stealth, thick}
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]
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\node (photon) {Photon};
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\node (wave) [right of=photon] {Wave (FPC)};
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\node (focus) [right of=wave] {Focus};
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\node (prism) [below of=wave] {Prism};
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\node (horizon) [right of=prism] {Horizon};
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\draw[arrow] (photon) -- node[above] {committee} (wave);
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\draw[arrow] (wave) -- node[above] {confidence} (focus);
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\draw[arrow] (focus) -- (prism);
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\draw[arrow] (prism) -- (horizon);
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\draw[arrow, dashed] (wave) -- node[left] {thresholds} (prism);
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\end{tikzpicture}
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\caption{FPC within the Lux consensus stack architecture}
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\label{fig:architecture}
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\end{figure}
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The architecture follows an optics metaphor where:
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\begin{itemize}
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\item \textbf{Photon}: Atomic unit that selects $k$ ``rays'' (committee sample)
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\item \textbf{Wave}: Per-round thresholds $(\alpha_{\text{pref}}, \alpha_{\text{conf}})$ with phase shifts (FPC layer)
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\item \textbf{Focus}: $\beta$ consecutive rounds concentrate confidence into a decision
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\item \textbf{Prism}: Geometric views of a DAG (frontiers, cuts, refractions)
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\item \textbf{Horizon}: Order-theoretic structure (reachability, antichains, certificates)
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\end{itemize}
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FPC implements the ``Wave'' layer, providing adaptive thresholds that guide opinion formation through interference patterns analogous to wave physics.
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