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34 lines
1.8 KiB
TeX
34 lines
1.8 KiB
TeX
\section{Introduction}
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\label{sec:introduction}
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The throughput of a single consensus instance is fundamentally limited by the per-round
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message complexity and the finality latency. Even with pipelining (Photon) and burst
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finalization (Nova), a single consensus instance processes transactions sequentially
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within each conflict set. For blockchains with diverse transaction types---token
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transfers, smart contract calls, cross-chain messages, governance votes---the aggregate
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throughput is limited by the busiest conflict set.
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Prism addresses this by partitioning the consensus problem into independent spectrum
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bands, each handling a subset of conflict sets. This is analogous to frequency-division
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multiplexing in telecommunications: each band occupies a different ``frequency''
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(conflict set partition) and processes transactions independently.
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The challenge is ensuring global consistency: while each band finalizes independently,
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the combined output must form a valid total order compatible with cross-band dependencies.
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Prism's spectral combiner solves this through a deterministic merge algorithm that
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respects the causal order of cross-band references.
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\paragraph{Contributions.}
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\begin{enumerate}[nosep]
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\item The Prism multi-spectrum consensus protocol with hash-based band assignment (\S\ref{sec:protocol}).
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\item Conflict locality and load balance proofs (\S\ref{sec:partition}).
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\item The spectral combiner algorithm with order consistency proof (\S\ref{sec:combiner}).
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\item Direct voting fast path for uncontested decisions (\S\ref{sec:voting}).
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\item Linear throughput scaling demonstration: 50,000 TPS with 16 bands (\S\ref{sec:evaluation}).
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\end{enumerate}
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%% -----------------------------------------------------------------------
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%% 2. SPECTRAL DECOMPOSITION
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%% -----------------------------------------------------------------------
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