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Keyword

structural emergence

Description: A concept concerning how organized structures or higher-level properties arise from interactions among underlying components; its specific theoretical meaning is unclear.
OpenAlex ID: keywords/structural-emergence
Why Meso? On “Aggregation” and “Emergence”, and Why and How the Meso Level is Essential in Social Economics
2007 · Wolfram Elsner · Forum for Social Economics · 41
Structural Emergence in Particle Dispersions
2017 · Andrew Mulderig, Gregory Beaucage, et al. · Langmuir · 22
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Reset Dynamics, Paper 4: Zero Is Not Atomic — Structured Zero and the Inevitability of Rupture
2026 · pan, feiyue · Zenodo (CERN European Organization for Nuclear Research) · 11
BU80 Conditional Settlement of New Standing Positions under B_U Universal Co-Admissive Medium, Weak Persistence Morphism, Soft Link, and Friction-Cost Functional
2026 · Zhan, Dedong · Zenodo (CERN European Organization for Nuclear Research) · 10
Non-Linear Dynamics in Entrepreneurial and Management Careers
2002 · Benyamin M. Bergmann Lichtenstein ., John R. Ogilvie, et al. · M n gement · 10
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Is language change chiefly a social diffusion affair? The role of entrenchment in frequency increase and in the emergence of complex structural patterns
2024 · Quentin Feltgen · Frontiers in Complex Systems · 9
Data Farming Coevolutionary Dynamics in RePast
2005 · B.F. Tivnan · Winter Simulation Conference · 6
Data farming coevolutionary dynamics in RePast
2004 · Brian F. Tivnan · Winter Simulation Conference · 5
Structural Emergence with Order Independent Representations
2003 · R. Muhammad Atif Azad, Conor Ryan · Lecture notes in computer science · 4
Symbolic Field Theory and the Collapse Geometry ofPrimes:A Statistical Framework for Irreducible Emergence
2025 · Triston Miller · Preprints.org · 2
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An attempt to understand information processing capability in complex networks
2018 · Aditya Akundi, Eric Smith, et al. · 2020 IEEE International Systems Conference (SysCon) · 2
RT Model: Phase-Dependent Structural Emergence in a Dynamic Spatial Network
2026 · Ryan, Shlomi · Zenodo (CERN European Organization for Nuclear Research) · 1
이원적 동형 구조에 의한 존재의 출현 인간과 인공지능 창조의 구조적 비교
2026 · Choi, Joonhong · Zenodo (CERN European Organization for Nuclear Research) · 1
Generative Polarity and Structural Emergence: A Common Algebraic Architecture in Foundational Physical Formalisms
2026 · Succi, Andrea, Magnini, Pierpaolo · Zenodo (CERN European Organization for Nuclear Research) · 1
Boundary-Induced Morphogenetic Phase Transitions in Living Systems
2026 · Bresciano, Claudio · Zenodo (CERN European Organization for Nuclear Research) · 1
Feedback and the emergence of structures in information systems.
2021 · V.V. Ilicheva · Informatization and communication · 1
MATHEMATICAL CROSS-DOMAIN COUPLING & STRUCTURAL EMERGENCE AT THE LIMIT Volume II of the Mathematical Frontier Trilogy STARLI · White Rainbow Civilization | Research-Design Monograph, Version 1.0 | October 2026 DESCRIPTION This independently authored research-design monograph develops an interdisciplinary mathematical exploration of three interacting activities: cross-domain mapping, structural recombination, and verification of newly proposed statements. Its central methodological question is whether a meaningful mathematical correspondence between previously separate fields can yield a new, reproducible implication rather than an analogy, a change of notation, or a juxtaposition of existing conclusions. The reference landscape is the OpenAI Mathematics manuscript catalogue, whose public README lists 719 manuscripts grouped into 372 research families (snapshot checked 13 October 2026). The collection contains research outputs at different stages of verification. This volume does not claim to be an independent review, proof certification, or chapter-by-chapter exegesis of every manuscript. Manuscript-specific conclusions must be checked against the exact versioned primary source and accompanying formal proof artifacts where available. This is an independent STARLI publication, not an official OpenAI work; the source authors and contributors retain attribution for their mathematics. RESEARCH ARCHITECTURE The study is organized into 82 chapters, with a single chapter-opening core mathematical relation and twelve distinct methodological research sections per chapter. The six parts address (I) number theory, arithmetic geometry and representations, (II) topology, categories and geometry, (III) probability, dynamics and statistical physics, (IV) nonlinear analysis, partial differential equations and geometric flow, (V) quantum mathematics, operator algebras and information, and (VI) complexity, combinatorics and optimization. Each chapter approaches cross-domain synthesis through explicit mathematical objects, declared domains and codomains, candidate invariants, theorem dependencies, commutative diagrams, counterexample construction, ablation controls, computational checks, and independent reconstruction. A proposed bridge is accepted only when its assumptions, preservation properties and resulting mathematical consequences are independently inspectable. Rejection or non-applicability of a coupling is regarded as a legitimate scientific outcome. The opening research apparatus contains 30 established or context-specific advanced-physics relation cards with derivation pathways and three-dimensional wireframe conceptual illustrations. These are separate from the mathematical proposals and do not function as evidence of new theorems. At the back of the volume, 200 Research Gates pose researchable questions with concrete tests and potential falsifiers. Thirty-three Phoenix Answer Embryos outline provisional research instruments that can be disconfirmed, narrowed, rebuilt, branched or responsibly retired. Each of those 233 closing cards includes a separate named physics equation; these expressions retain their own native physical conditions and must not be interpreted as 233 newly discovered laws. METHODOLOGICAL CONTRIBUTION The work proposes a falsifiable research workflow: identify a claimed bridge; specify mathematically admissible inputs; compare the strongest native-domain baseline; test invariant preservation and compositional coherence; isolate new implications; and document when the result is unresolved. The distinctive feature is not the number of equations but the governance of mathematical claims across fields and research generations. A complete, versioned Research Gates and Equation Index workbook accompanies the PDF. EVIDENCE AND LIMITATIONS This is a large-scale interpretive framework and prospective research atlas. It does not establish the open conjectures it discusses, make original proofs automatically valid, or verify the full official catalogue. The book distinguishes standard mathematical background, proposed research architecture, conditional equivalences, and unverified hypotheses. Similarity between mathematical and physical equations is illustrative unless a valid typed mapping and proof are independently demonstrated. SOURCE AND ATTRIBUTION Official public source collection: https://github.com/openai/math Manuscript descriptions and links: https://github.com/openai/math/blob/main/CONTENTS.md Repository formalization materials: https://github.com/openai/math/tree/main/lean All manuscript-specific mathematical claims and authorship should be cited directly from the corresponding primary manuscript and versioned proof records. RESEARCH INVITATION The two hundred Research Gates are intended as openings rather than final conclusions. Readers are invited to challenge the proposed correspondence, reconstruct the underlying mathematical objects, formulate counterexamples, improve math
2026 · 33 · Zenodo (CERN European Organization for Nuclear Research)
The Poetry of the 2026 Nobel Prizes: Fractures, Brokenness, and Human Existential Authorization
2026 · Li, GenMin · Zenodo (CERN European Organization for Nuclear Research)
Structural Emergence as a Research Program: Guiding Effective Scientific Inquiry
2026 · Ilin, Nikolai · Zenodo (CERN European Organization for Nuclear Research)
Partial Computability of Previously Non-Computable Processes: Catastrophe Dynamics, Extreme Natural Energy, and the Practical Applications of the Structural Emergence Research Program
2026 · Ilin, Nikolai · Zenodo (CERN European Organization for Nuclear Research)
Generative Foundations and Structural Realizations: GTi and the Ontological Fundamental Network
2026 · Superson, Waldemar, Evdokimov, Oleg · Zenodo (CERN European Organization for Nuclear Research)
A Class of Generalized Zulfia Invex Functions with In-Built Structural Emergence
2026 · Khan, Zulfiqar Ali · Zenodo (CERN European Organization for Nuclear Research)
MPX: Perturbation Has to Perturb Something
2026 · Aelion Kannon · Zenodo (CERN European Organization for Nuclear Research)
Free High-Order Cognition: Zero-Training, Zero-Parameter Structural Emergence in the UHGP Symbolic System
2026 · Zhou, Juncai · Zenodo (CERN European Organization for Nuclear Research)
A Preregistered Theoretical Framework for Language Generation: Mapping the ABC1 Generative Sequence onto Syntactic and Semantic Structure
2026 · Huiqin Lu · Open Science Framework
Works count: 162
Citation count: 129
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