A Unified Framework for Sensitivity-Guided Intervention and Irreversibility Adjudication in Complex Systems

A Unified Framework for Sensitivity-Guided Intervention and Irreversibility Adjudication in Complex Systems | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Physical Sciences - Article A Unified Framework for Sensitivity-Guided Intervention and Irreversibility Adjudication in Complex Systems Nan Wu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8561103/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This study presents a unified framework for detecting, mitigating, and reasoning about critical failures in complex systems. Minimal violations are identified via a sensitivity operator (S) and mapped forward using a propagation operator (P). The concepts of Void, Adjudication, and irreversibility are introduced to formalize irrecoverable states. Iterative, sensitivity-guided interventions optimize policies or system parameters, reducing failure probability while respecting operational limits. The framework is modular, scalable, and bridges operational and causal reasoning, providing a versatile toolset for resilience engineering and systemic risk analysis. Physical sciences/Mathematics and computing/Computational science Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Complex networks Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Nonlinear phenomena Full Text Additional Declarations There is NO Competing Interest. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8561103","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":572060565,"identity":"ce78757a-e3c2-4195-ad7a-737c88ed4d06","order_by":0,"name":"Nan Wu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzElEQVRIiWNgGAWjYNCCChsefhD9gIHBgEgtZ9JkJBsYGBsSiNbC2HbYxuAAsVoMbuQe/FzAxsxjfLzH/EFChY0xA/vhoxvwa8lLlp7Bw8ZjduaMYUPCmTQzBp60tBv4tJjdyDGQ5pHg4QEyDBsSgS5kkACyCWgx/s1jIMFjPIMELWbSPAkGQF0QLWYEtdifeWNmzXMggUfizLHCGUC/GLMR8otke47xbd5//+3525s3fPhQYWPYz374GF4tmICNNOWjYBSMglEwCrABANzURsOt0WOuAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0009-0004-0930-5377","institution":"Yinchuan University of Energy","correspondingAuthor":true,"prefix":"","firstName":"Nan","middleName":"","lastName":"Wu","suffix":""}],"badges":[],"createdAt":"2026-01-09 12:39:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8561103/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8561103/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":100547103,"identity":"e676b750-885f-4fea-b416-69149be08494","added_by":"auto","created_at":"2026-01-19 08:14:26","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":410328,"visible":true,"origin":"","legend":"Article File","description":"","filename":"MainManuscriptLCCINatureSubmission.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8561103/v1_covered_3b766b93-286f-4854-aaa1-92a831d1ba1d.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"A Unified Framework for Sensitivity-Guided Intervention and Irreversibility Adjudication in Complex Systems","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-8561103/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8561103/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This study presents a unified framework for detecting, mitigating, and reasoning about critical failures in complex systems. 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