papers/lux-sovereign-defi/lux-sovereign-defi.tex

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\newcommand{\bps}{\text{bps}}
\newcommand{\Gov}{\mathcal{G}}
\newcommand{\Signer}{\mathcal{S}}
\newcommand{\Chain}{\mathcal{C}}
\newcommand{\Fee}{\mathcal{F}}
\newcommand{\Strategy}{\mathcal{Y}}
\newcommand{\SAB}{\text{SAB}}
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% Title
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\title{
  \textbf{Sovereign DeFi: Per-Chain Governance, Shariah Compliance,\\
  and Securities-Compatible Cross-Chain Infrastructure} \\[6pt]
  \large Formal Governance Isolation, Islamic Finance Classification,\\
  and ERC-3643 Compliance in Lux Teleport
}

\author{
  Zach Kelling\thanks{Corresponding author: \texttt{[email protected]}} \quad
  Vishnu Seesahai \\
  \textit{Lux Industries, Inc.} \\
  \texttt{[email protected]} \\[4pt]
  \small Version 1.0 --- April 2025
}

\date{2022 (Revised December 2025)}

\begin{document}

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\begin{abstract}
Cross-chain bridge protocols concentrate governance power in a single entity that controls economic parameters across all connected chains. This paper presents Sovereign DeFi, a governance and compliance architecture for the Lux Teleport protocol that achieves three properties simultaneously: (1)~\emph{governance sovereignty}, where each chain's native token holders independently control their bridge instance's fees, limits, and yield strategy routing; (2)~\emph{protocol-level Shariah compliance}, where an on-chain classification contract enforces Islamic finance law by filtering yield sources into Halal, Haram, and Conditional categories under the authority of a Shariah Advisory Board multisig; and (3)~\emph{securities compatibility}, where ERC-3643 compliance registries ensure that regulated security tokens maintain jurisdictional, lockup, and accreditation constraints when teleported across chains. We prove a governance isolation theorem showing that a compromised governor on one chain cannot affect any other chain's bridge instance. We formalize the Shariah classification algebra, the securities compliance state machine, and the fee competition game between sovereign instances. We derive a Nash equilibrium for optimal fee setting and analyze the xLUX flywheel dynamics that emerge from fee aggregation across sovereign instances. The architecture enables any L1 or L2 to deploy a sovereign bridge instance that captures its own fee revenue while sharing the security of a unified MPC threshold signature network.
\end{abstract}

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\input{sections/01-introduction}
\input{sections/02-system-model}
\input{sections/03-sovereign-governance}
\input{sections/04-shariah-compliance}
\input{sections/05-securities-compliance}
\input{sections/06-white-label-architecture}
\input{sections/07-formal-properties}
\input{sections/08-economic-analysis}
\input{sections/09-formal-comparison}
\input{sections/10-related-work}
\input{sections/99-conclusion}

\end{document}