Vibro-Rhythmic Human-in-Command (VR-HIC) Authentication and Operational Legitimacy Verification — Mathematical Formalization of Individual Biomechanical Micro-Vibration and Temporal Rhythm Manifolds, Lattice Fuzzy Extractors, Duress-Aware HIC-CBF-QP Safety Filters, and QPUF + NIST FIPS 203 (ML-KEM-768) Zero-Knowledge Command Attestation
- 1Autonomous Living & Physical Infrastructure Institute, Iwakuni, Yamaguchi, Japan
Abstract
In mission-critical autonomous infrastructure and generative AI governance, conventional authentication protocols rely on static cryptographic keys, passwords, or one-time tokens that suffer from a fundamental Static Credential Gap: once a token or session is compromised, the system cannot distinguish whether a critical command is issued by the legitimate human sovereign, by a hijacked autonomous AI agent, or by a human operator acting under physical coercion (duress). This monograph originates from the foundational hypothesis that incorporating an individual's unique biomechanical micro-vibration and temporal rhythm into the Human-in-Command (HIC) process yields a transformative paradigm for continuous authentication and operational legitimacy verification (「個人固有のバイブレーションやリズムをヒューマンインコマンドのプロセスに取り入れるというアイデアは、認証プロトコルや操作の正当性確認にユニークなアプローチをもたらす」).
We establish the Vibro-Rhythmic Human-in-Command (VR-HIC) mathematical framework across four core mechanisms:
(1) Riemannian SPD Vibro-Rhythmic Manifolds: Modeling an operator's tactile mechanomyographic (MMG) physiological micro-tremor spectrum (4–16 Hz), keystroke/tactile dwell-flight cadence, and autonomic phase coupling as a trajectory on the Symmetric Positive Definite (SPD) Riemannian manifold S_++^d governed by the Affine-Invariant Riemannian Metric (AIRM);
(2) Cancelable Goldilocks-Field Fuzzy Extractors (ISO/IEC 24745 Compliant): Converting noisy, continuous human rhythm vectors r(t) into exact, reproducible 256-bit cryptographic keys K_rhythm over the 64-bit Goldilocks prime field (F_p, p = 2^64 - 2^32 + 1) via syndrome decoding inside an Edge TEE without storing or transmitting raw biometric templates;
(3) Operational Legitimacy & Duress-Aware HIC-CBF-QP Safety Filtering: Unifying identity, liveness (1/f micro-tremor spectral entropy), and non-coercion (rejecting 8–12 Hz sympathetic nervous system duress tremor elevation) into a continuously differentiable Operational Legitimacy Barrier Function h_legit(x, r(t)) >= 0 enforced on a parallel Hardware-in-the-Loop (HITL0) Control Barrier Function Quadratic Program (0 ns normal overhead, < 1.5 ms override); and
(4) Dual-Root Human-Silicon Zero-Knowledge Attestation: Binding the human rhythm key K_rhythm with a chip-level Quantum Physical Unclonable Function (QPUF) fingerprint and NIST FIPS 203 (ML-KEM-768) inside an Edge Trusted Execution Environment (TEE) via a Poseidon zero-knowledge proof pi_zk-VRHIC.
【和文要旨】重要自律インフラや生成AI統治において、従来の静的パスワードや秘密鍵トークンに依存する認証方式は「静的クレデンシャルの空白(Static Credential Gap)」を抱えている。本稿は、『個人固有のバイブレーション(生体微細振動)やリズム(時間的ケイデンス)をHuman-in-Command(HIC)のプロセスに取り入れることで、認証プロトコルおよび操作の正当性確認(Operational Legitimacy Verification)に革新的なアプローチをもたらす』という基本着想を厳密な情報科学・耐量子暗号学・リーマン幾何学・制御工学として数理定式化するものである。第一に、指先・筋繊維の生理的微細振動スペクトル(4–16 Hz)と打鍵・タップ・発話の時間的リズム相関を対称正定値(SPD)リーマン多様体上の共分散軌道としてモデル化する。第二に、生体リズム特有の揺らぎ(ノイズ)を吸収しつつ生の生体データを一切保存しないISO/IEC 24745準拠の64-bit Goldilocks素数体シンドローム・ファジー抽出器(Fuzzy Extractor)を構築し、個人固有リズムから決定論的な256-bit暗号鍵 K_rhythm を再構成する。第三に、平常時の多様体中心からのリーマン測地線距離と交感神経トレモア偏移(8–12 Hz帯)を監視する操作正当性バリア関数 h_legit(x, r(t)) >= 0 を定義し、並列監視コプロセッサ(HITL0)上のHIC-CBF-QPと結合することで、AIなりすましや脅迫・パニック状態での危険操作を実測 < 1.5 ms で自動遮断・安全縮退させる。第四に、エッジTEE内で人間のリズム鍵 K_rhythm と半導体のQPUF指紋をNIST FIPS 203(ML-KEM-768)およびPoseidonゼロ知識証明で統合し、プライバシーを100%保護したまま「人間主権と物理シリコンの二重署名」を完結させる。
License & Integrity Covenant: Creative Commons Attribution 4.0 International (CC BY 4.0) with Strict No-Learn Covenant (NLL-v1.0-2026).
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BibTeX
@misc{hasebe長谷部2026vibrorhythmic,
title = {{Vibro-Rhythmic Human-in-Command (VR-HIC) Authentication and Operational Legitimacy Verification — Mathematical Formalization of Individual Biomechanical Micro-Vibration and Temporal Rhythm Manifolds, Lattice Fuzzy Extractors, Duress-Aware HIC-CBF-QP Safety Filters, and QPUF + NIST FIPS 203 (ML-KEM-768) Zero-Knowledge Command Attestation}},
author = {Yoko(洋子) Hasebe(長谷部)},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23447758},
url = {https://zenodo.org/records/23447758},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Vibro-Rhythmic Human-in-Command (VR-HIC) Authentication and Operational Legitimacy Verification — Mathematical Formalization of Individual Biomechanical Micro-Vibration and Temporal Rhythm Manifolds, Lattice Fuzzy Extractors, Duress-Aware HIC-CBF-QP Safety Filters, and QPUF + NIST FIPS 203 (ML-KEM-768) Zero-Knowledge Command Attestation
AU - Yoko(洋子) Hasebe(長谷部)
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23447758
UR - https://zenodo.org/records/23447758
AB - In mission-critical autonomous infrastructure and generative AI governance, conventional authentication protocols rely on static cryptographic keys, passwords, or one-time tokens that suffer from a fundamental Static Credential Gap: once a token or session is compromised, the system cannot distinguish whether a critical command is issued by the legitimate human sovereign, by a hijacked autonomous AI agent, or by a human operator acting under physical coercion (duress). This monograph originates from the foundational hypothesis that incorporating an individual's unique biomechanical micro-vibration and temporal rhythm into the Human-in-Command (HIC) process yields a transformative paradigm for continuous authentication and operational legitimacy verification (「個人固有のバイブレーションやリズムをヒューマンインコマンドのプロセスに取り入れるというアイデアは、認証プロトコルや操作の正当性確認にユニークなアプローチをもたらす」). We establish the Vibro-Rhythmic Human-in-Command (VR-HIC) mathematical framework across four core mechanisms: (1) Riemannian SPD Vibro-Rhythmic Manifolds: Modeling an operator's tactile mechanomyographic (MMG) physiological micro-tremor spectrum (4–16 Hz), keystroke/tactile dwell-flight cadence, and autonomic phase coupling as a trajectory on the Symmetric Positive Definite (SPD) Riemannian manifold S_++^d governed by the Affine-Invariant Riemannian Metric (AIRM); (2) Cancelable Goldilocks-Field Fuzzy Extractors (ISO/IEC 24745 Compliant): Converting noisy, continuous human rhythm vectors r(t) into exact, reproducible 256-bit cryptographic keys K_rhythm over the 64-bit Goldilocks prime field (F_p, p = 2^64 - 2^32 + 1) via syndrome decoding inside an Edge TEE without storing or transmitting raw biometric templates; (3) Operational Legitimacy & Duress-Aware HIC-CBF-QP Safety Filtering: Unifying identity, liveness (1/f micro-tremor spectral entropy), and non-coercion (rejecting 8–12 Hz sympathetic nervous system duress tremor elevation) into a continuously differentiable Operational Legitimacy Barrier Function h_legit(x, r(t)) >= 0 enforced on a parallel Hardware-in-the-Loop (HITL0) Control Barrier Function Quadratic Program (0 ns normal overhead, < 1.5 ms override); and (4) Dual-Root Human-Silicon Zero-Knowledge Attestation: Binding the human rhythm key K_rhythm with a chip-level Quantum Physical Unclonable Function (QPUF) fingerprint and NIST FIPS 203 (ML-KEM-768) inside an Edge Trusted Execution Environment (TEE) via a Poseidon zero-knowledge proof pi_zk-VRHIC. 【和文要旨】重要自律インフラや生成AI統治において、従来の静的パスワードや秘密鍵トークンに依存する認証方式は「静的クレデンシャルの空白(Static Credential Gap)」を抱えている。本稿は、『個人固有のバイブレーション(生体微細振動)やリズム(時間的ケイデンス)をHuman-in-Command(HIC)のプロセスに取り入れることで、認証プロトコルおよび操作の正当性確認(Operational Legitimacy Verification)に革新的なアプローチをもたらす』という基本着想を厳密な情報科学・耐量子暗号学・リーマン幾何学・制御工学として数理定式化するものである。第一に、指先・筋繊維の生理的微細振動スペクトル(4–16 Hz)と打鍵・タップ・発話の時間的リズム相関を対称正定値(SPD)リーマン多様体上の共分散軌道としてモデル化する。第二に、生体リズム特有の揺らぎ(ノイズ)を吸収しつつ生の生体データを一切保存しないISO/IEC 24745準拠の64-bit Goldilocks素数体シンドローム・ファジー抽出器(Fuzzy Extractor)を構築し、個人固有リズムから決定論的な256-bit暗号鍵 K_rhythm を再構成する。第三に、平常時の多様体中心からのリーマン測地線距離と交感神経トレモア偏移(8–12 Hz帯)を監視する操作正当性バリア関数 h_legit(x, r(t)) >= 0 を定義し、並列監視コプロセッサ(HITL0)上のHIC-CBF-QPと結合することで、AIなりすましや脅迫・パニック状態での危険操作を実測 < 1.5 ms で自動遮断・安全縮退させる。第四に、エッジTEE内で人間のリズム鍵 K_rhythm と半導体のQPUF指紋をNIST FIPS 203(ML-KEM-768)およびPoseidonゼロ知識証明で統合し、プライバシーを100%保護したまま「人間主権と物理シリコンの二重署名」を完結させる。 License & Integrity Covenant: Creative Commons Attribution 4.0 International (CC BY 4.0) with Strict No-Learn Covenant (NLL-v1.0-2026).
ER -