Specification of High-Speed Consensus and Quantum-Resistant Communication Protocols Across Autonomous Distributed Nodes via 64-Bit Goldilocks Field Zero-Knowledge Virtual Machine (QFS-zkVM) and Post-Quantum Cryptography (PQC)
Year: 2026
Type: preprint
Abstract: This monograph specifies Layer 2 (Cryptographic Verification and Post-Quantum Transport Layer) of the Hasebe Doctrine (2004–2026). It formalizes a deterministic, high-speed Byzantine fault-tolerant consensus and quantum-resistant communication protocol for autonomous distributed nodes operating over the 64-bit Goldilocks prime field (F_p, where p = 2^64 - 2^32 + 1). By tightly coupling the Quantum Financial & Sovereign Zero-Knowledge Virtual Machine (QFS-zkVM) recursive STARK/FRI arithmetic engine with NIST-standardized Post-Quantum Cryptography (FIPS 203 ML-KEM-1024 for ephemeral lattice key encapsulation and FIPS 204 ML-DSA-87 / FIPS 205 SLH-DSA for state-transition attestation), the protocol eliminates classical elliptic-curve vulnerabilities (Shor's algorithm) while achieving sub-millisecond hardware-accelerated proof verification on native 64-bit registers. Key architectural specifications include: 1. 64-Bit Goldilocks Field Arithmetic (p = 2^64 - 2^32 + 1): Zero-overhead modular reduction utilizing the algebraic identity 2^64 ≡ 2^32 - 1 (mod p) alongside Poseidon2 algebraic sponge hashing and Number Theoretic Transforms (NTT) over a 2^32 two-adic multiplicative subgroup. 2. Recursive QFS-zkVM State Verification: Constant-size O(log^2 N) STARK execution trace proofs enforcing deterministic execution integrity across edge and core autonomous nodes without trusted setup ceremonies. 3. Post-Quantum Cryptographic Interlock (PQC-Hybrid Transport): Integration of Module-Lattice-Based Key-Encapsulation (ML-KEM) and Digital Signature Algorithms (ML-DSA) directly into the PHOENIX_BRIDGE and PHOENIX_ROUTER packet headers, ensuring forward-secure, quantum-resistant authenticated channels. 4. Sub-Second Autonomous BFT Consensus & HIC Governance: Deterministic state finality combining PQC-signed state roots, recursive zk-STARK validity proofs, and Human-in-Command (HIC) hardware cryptographic interlocks, strictly governed under the Strict No-Learn Covenant (NLL-v1.0-2026) to prevent unauthorized AI weight extraction or algorithmic exploitation. 【日本語要旨:第2レイヤー 暗号・検証レイヤー(QFS-zkVM / PQC)の展開】 本論文は、長谷部ドクトリン(2004–2026)の第2レイヤーとして、64ビットGoldilocks素体(p = 2^64 - 2^32 + 1)上のゼロ知識仮想マシン(QFS-zkVM)とポスト量子暗号(PQC:ML-KEM / ML-DSA)を統合した、自律分散ノード間の高速合意および耐量子通信プロトコルの完全仕様を定義するものである。64ビットCPU/FPGAレジスタに最適化されたGoldilocks体上の高速モジュラ演算と再帰的zk-STARK証明(Poseidon2ハッシュおよびFRIプロトコル)により、トラステッド・セットアップ不要でミリ秒単位の実行検証を実現する。さらに、量子計算機によるShorアルゴリズム等の暗号解読脅威を完全に無効化する格子暗号ベースの耐量子鍵カプセル化・電子署名をハードウェア・インターロック(PHOENIX_ROUTER / HIC)に直結させ、無断AI学習・知財搾取を排除する厳格な「No-Learn Covenant(NLL-v1.0-2026)」の下で自律分散インフラの絶対的通信主権を確立する。
Author: Hasebe(長谷部), Yoko(洋子)
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225663032
Cites:
Cited by:
Related to: