意思決定の数理を追求する。
Pursuing the Mathematics of Decision-Making.
AI・自動化・社会実装における選択、責任、停止境界を数理として扱う。
We treat choice, responsibility, and stop boundaries in AI, automation, and real-world systems as mathematical problems.
▼実データで体験するADIC責任工学はこちら
ADIC Responsibility Engineering Validated on Real Data
Core ADIC soundness lemmas mechanically verified in Lean 4
当研究所は、以下の3つの領域を軸に、責任が蒸発しないためのアーキテクチャを社会実装します。
Our institute implements an architecture to prevent the evaporation of responsibility,
centered on the following three domains:
Responsibility Engineering Technology Development
2. AI安全制御基盤
AI Safety Control Infrastructure
Integration of Mathematical Research and Knowledge
AI意思決定に「検証可能性」と「責任固定」を実装する技術開発。
Technology to embed verifiability and responsibility fixation into AI-driven decision systems.
重要インフラ向け数理安全制御・監査基盤。
Mathematical safety control and auditing infrastructure for critical systems.
有限閉包理論を企業実装へ翻訳。
Translating finite-closure theory into deployable enterprise architectures.
次世代AI研究
Next-Generation AI Research
GhostDrift数理研究所では、Beaconアーキテクチャを中心に、候補保護・意味選択・候補制御を軸とする次世代AI研究を進めています。
At GhostDrift Mathematical Institute, we pursue next-generation AI research centered on the Beacon Architecture, with candidate protection, semantic selection, and candidate control as its core principles.
Beacon Architecture
候補を無差別に処理するのではなく、保護すべき候補を先に守り、その後に選択へ進む構造研究。
Architecture research that protects critical candidates before selection, rather than treating all candidates uniformly from the start.
2. GD-Attention
GD-Attention
意味エネルギーの地形に基づき、候補間の整合性の中から選択を行う意味選択機構。
A semantic selection mechanism that chooses among candidates through a consistency structure defined on a semantic energy landscape.
Meaning-Generation OS
retain / suppress / select などの操作を通じて、候補集合そのものを制御する上位レイヤー。
A higher-layer framework that governs candidate sets through operations such as retain, suppress, and select.
数学証明のデジタル証明書を生成する計算基盤
Computational infrastructure for generating digital certificates of mathematical proofs
AI運用の責任固定と検証可能性の数理基盤
Mathematical Foundations for Fixed Responsibility and Verifiable AI Operations
Quantum Practicality Testing Laboratory
量子技術の実用境界を見極める検証基盤
Verification Framework for the Practical Boundaries of Quantum Technology
数理と人文知の接続構造を探る横断研究
Cross-Disciplinary Inquiry into the Interface of Mathematics and the Humanities
GhostDrift数理研究所とは
About GhostDrift Mathematical Institute , Inc.
GhostDrift数理研究所は、意思決定の数理を追求する研究機関です。 次世代AI研究と責任工学の両輪を通じて、AI・自動化・社会実装における選択、責任、停止境界を、第三者が検証可能な形で設計します。
GhostDrift Mathematical Institute is a research institute dedicated to the mathematics of decision-making. Through the dual pillars of next-generation AI research and Responsibility Engineering, we design choice, responsibility, and stop boundaries in AI, automation, and real-world systems in forms that can be verified by third parties.
Our Philosophy
意思決定の数理を追求する
Pursuing the Mathematics of Decision-Making.
2. GhostDrift理論とはGhostDrift Theory
和算2.0を思想基盤に、有限系から数理を再構成する理論
A Theory that Reconstructs Mathematics from Finite Systems, with Wasan 2.0 as Its Conceptual Foundation
正当性の基準をアルゴリズム内部で再定義する理論
A Theory that Redefines the Basis of Legitimacy within Algorithmic Systems
有限閉包に基づいて数理を構成する現代的な和算の枠組みです。
A modern Wasan framework that constructs mathematics based on finite closure.
岡潔
1901-1978
数学者
湯川秀樹
1907-1981
物理学者
素数重力と岡潔
「素数重力」は、素数を個別の存在ではなく、相互作用が生む「場の調和」として捉える数理モデルです。この視点は、数学を関係の中の動的な「情緒」と見た岡潔の思想と響き合います。
Prime Gravity and Kiyoshi Oka
“Prime Gravity” views primes not as isolated entities but as a harmonious field emerging from their interactions. This perspective resonates with Kiyoshi Oka’s view of mathematics as a dynamic “emotion” of relationships.
有限閉包 (Finite Closure) と湯川秀樹
「有限閉包」は、無限へ拡散する数学的な場を、保存量を持つ有限系として扱う数理枠組みです。この発想は、力を有限距離に閉じ込める湯川ポテンシャルを提唱した湯川秀樹の物理的直観と対応しています。
Finite Closure and Hideki Yukawa“Finite Closure” is a mathematical framework that treats fields that would otherwise diffuse to infinity as finite systems with conserved quantities. This idea corresponds to Hideki Yukawa’s physical intuition behind the Yukawa potential, which confines forces to finite ranges.
出典
Kiyoshi Oka, Kyoto, 1973Photo: Konrad Jacobs / Mathematisches Forschungsinstitut OberwolfachLicensed under Creative Commons Attribution–ShareAlike 2.0 (Germany)
Hideki Yukawa, 1949.
Source: Nobel Foundation archive (public domain)
素数を「場」を生む能動的な「源」と捉え直す数理的枠組みです。
This is a mathematical framework that redefines prime numbers as active "sources" that generate "fields."
無限に依存しない解析体系を築く数理的枠組みです。
A mathematical framework for building an analytical system that is independent of infinity.
素数分布の新たな構造と、数理物理と関数解析の視点を融合を目指します。
We aim to combine a new structure of the prime number distribution with the perspectives of mathematical physics and functional analysis.
Contact
GhostDrift数理研究所へのご相談・ご連絡は、下記フォームよりお気軽にお寄せください。数理研究、PoC実装、監査プロトコル、共同研究、技術移転、取材依頼に関するご相談を受け付けています。Please feel free to contact GhostDrift Mathematical Institute using the form below. We welcome inquiries regarding mathematical research, PoC implementation, audit protocols, collaborative research, technology transfer, and media requests.