Algebraic Consequences of the Ontogenetic Synthesis: Quantifying Cultural Conductivity across Generational Cohorts

Algebraic Consequences of the Ontogenetic Synthesis: Quantifying Cultural Conductivity across Generational Cohorts | 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 Research Article Algebraic Consequences of the Ontogenetic Synthesis: Quantifying Cultural Conductivity across Generational Cohorts Yavuz Dağ This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8681997/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 The debate between Dual Inheritance Theory (DIT) and Cultural Attractor Theory (CAT) often overlooks the temporal dynamics of transmission. The Ontogenetic Synthesis (Dağ, 2026) proposes that human agency is time-dependent. In this study, we operationalize this framework through a discrete-time asymptotic model (M0). We introduce "Cultural Conductivity" (K) not as a direct neurological measure, but as a phenomenological proxy for the rate of adaptation. We apply this model to longitudinal IT usage trends (TÜİK, 2024) and normative data (Haerpfer et al., 2024). While the high fit (R2 > 0.98) is expected in cumulative diffusion models, the distinct fracture in conductivity parameters between cohorts (Fr ≈ 3.74) suggests that ontogenetic constraints provide a consistent algebraic framing for the divergence in adaptive trajectories. Evolutionary Biology Computational Biology Evolutionary Biology Computational Biology Cultural Conductivity Ontogenetic Synthesis Cultural Evolution Generational Fracture Time-Dependent Agency Dual Inheritance Theory Cultural Attractors Adaptive Velocity Cultural Lag. Full Text Additional Declarations The authors declare no competing interests. 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-8681997","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":579544879,"identity":"5484e3a6-410a-48ca-bd20-6e2ca0f0c4c1","order_by":0,"name":"Yavuz Dağ","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9UlEQVRIiWNgGAWjYDCCA1Dafv7DxgdAmoePaC0GDMnNBiAtbCRoSW+TADEIauE7fvyaxM+2w/bmDAfbKr/m2MmwMTA/fHQDjxbJMzllkr1th5ktGxvbbstuSwY6jM3YOAePFoMDOWkSPGcOszEcZmy7LbmNGaiFh00ar5bzb9Ik/5w5zMNwjLGtWHJbPRFabqQfk+apOCxhcIaxjfHjtsOEtUjeeMNsLVORbiA5g7FZmnHbcR42ZgJ+4Tuf/vDmGwNre34J9ocff26rtudnb374GJ8WYNyZSMCYzDxgEq9yEGB//AHGZPxBUPUoGAWjYBSMRAAAQs1KB+BxP+8AAAAASUVORK5CYII=","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"Yavuz","middleName":"","lastName":"Dağ","suffix":""}],"badges":[],"createdAt":"2026-01-23 18:55:19","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-8681997/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8681997/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":101231143,"identity":"8445425d-4ebc-4d9a-b271-64beeafafe95","added_by":"auto","created_at":"2026-01-27 13:42:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1067768,"visible":true,"origin":"","legend":"","description":"","filename":"Paperr.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8681997/v1_covered_f55d4cb8-f269-4e6c-a0e7-94e119d6caa4.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003e\u003cem\u003eAlgebraic Consequences of the Ontogenetic Synthesis: Quantifying Cultural Conductivity across Generational Cohorts\u003c/em\u003e\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Gedik University","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":"Cultural Conductivity, Ontogenetic Synthesis, Cultural Evolution, Generational Fracture, Time-Dependent Agency, Dual Inheritance Theory,Cultural Attractors, Adaptive Velocity, Cultural Lag. 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