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zeekayandHanzo Dev
178febad68
Every rendered "T-Chain" / "ThresholdVM" / "teleportvm" reference across the paper corpus is rewritten to the correct canonical chain by concern: threshold signing / MPC / bridge custody / key recovery -> M-Chain (MVM); FHE / encrypted compute / threshold decryption -> F-Chain (FVM); teleport / cross-chain messaging -> B-Chain (bridgevm); consensus Pulsar stays Q-Chain. Section lux-trust-kernel/03-t-chain-threshold-governance.tex renamed -> 03-f-chain-encrypted-policy.tex (with \input + xref fixes). Braided "T-Chain" sections split by concern (M vs F). Only lp-020's chain-separation rationale and the shared lux/chains/thresholdvm library path retain the name, to record the removal. All changed papers rebuilt (pdflatex, rc=0, no undefined refs). ยง09 of lux-dao-governance-framework reframed: fabricated "production deployment" metrics ($50M/$240k/$12M, survey %s, "as of Oct 2024") relabeled as illustrative design configurations with no invented replacements; reality noted (DAO treasury is a 1/1 Safe); conclusion echo + one "first production" overclaim softened. This commit also captures concurrent corpus workstreams on the same tree. Co-authored-by: Hanzo Dev <[email protected]>
65 lines
1.9 KiB
TeX
65 lines
1.9 KiB
TeX
\section{Performance Characteristics}
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\subsection{Mainnet Configuration (21 validators)}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}ll@{}}
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\toprule
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\textbf{Parameter} & \textbf{Value} \\
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\midrule
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K (Sample size) & 21 \\
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$\alpha$ (Preference quorum) & 13 \\
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$\alpha_{conf}$ (Confidence quorum) & 18 \\
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$\beta$ (Confidence threshold) & 8 \\
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Q-Threshold (Corona) & 15 of 21 \\
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Quasar Timeout & 10ms (GPU BLS) / 100ms (CPU fallback) \\
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Block Gas Limit & 1{,}000{,}000{,}000 (1\,B) \\
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Txs/Block & $\sim$47{,}619 (at 21{,}000 gas/tx) \\
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Finality Target & 10ms (GPU BLS) / 100ms (CPU BLS fallback) \\
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\bottomrule
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\end{tabular}
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\label{tab:mainnet-params}
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\end{table}
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\subsection{Performance Metrics}
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}lll@{}}
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\toprule
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\textbf{Metric} & \textbf{Value} & \textbf{Description} \\
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\midrule
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Block Gas Limit & 1\,B & 47{,}619 txs/block at 21k gas/tx \\
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Finality (GPU BLS) & 10ms & Primary target (co-located validators) \\
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Finality (CPU BLS) & 100ms & Fallback (commodity hardware) \\
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GPU BLS Aggregation & 3ms & Metal/CUDA shader \\
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Corona Aggregation & 7ms & PQ signature combination \\
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Certificate Size & 2.9KB & Combined BLS + Corona \\
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\bottomrule
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\end{tabular}
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\label{tab:performance}
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\end{table}
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\subsection{Throughput Analysis}
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Under Byzantine conditions ($f < n/3$), with 1\,B gas block limit:
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\begin{align}
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\text{Txs/block} &= \frac{1{,}000{,}000{,}000}{21{,}000} \approx 47{,}619 \\
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\text{TPS (GPU BLS)} &= \frac{47{,}619}{0.010\text{s}} = 4{,}761{,}904 \text{ TPS} \\
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\text{TPS (CPU BLS)} &= \frac{47{,}619}{0.100\text{s}} = 476{,}190 \text{ TPS}
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\end{align}
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These are execution-only opcode-dispatch upper bounds, \emph{not} end-to-end finality:
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end-to-end throughput is additionally bound by signature recovery, settlement
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conflict-detection, and BLS/PQ finality.
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Finality probability after $\beta$ rounds:
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\begin{equation}
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P(\text{finality}) \geq 1 - \epsilon, \quad \epsilon \approx 10^{-10}
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\end{equation}
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