Evidence for an Irreducible κ-like Structure in Galactic Dynamics and Lensing Phenomenology

Evidence for an Irreducible κ-like Structure in Galactic Dynamics and Lensing Phenomenology | 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 Evidence for an Irreducible κ-like Structure in Galactic Dynamics and Lensing Phenomenology Pengjie Huang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8820527/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 We identify empirical evidence for an irreducible κ -like structural quantity that emerges when observations are expressed relative to minimal reference models across multiple physical domains. Using galaxy rotation curves from the SPARC database, we show that the dimensionless ratio κ ~ =v obs /v ba r exhibits a scale-dependent, galaxy-independent collapse that persists under mass reparameterization, dynamical field redefinitions, and effective halo modeling. We further demonstrate that an analogous κ -like structure appears in strong gravitational lensing time delays constructed purely from image positions and propagation geometry, without invoking cosmological parameter inference. Finally, we show that quantum-scale double-slit molecular scattering data display systematic, scale-dependent residuals relative to the textbook Fraunhofer interference model that are structured and irreducible to standard corrections. Across all three regimes, the κ -like quantity is dimensionless, partially universal, and irreducible, indicating a common structural feature of physical descriptions independent of specific dynamics or material content. kappa-like structure irreducible structural feature galactic dynamics gravitational lensing quantum interference galactic rotation curves SPARC database double-slit scattering dimensionless analysis projection parameter mass reparameterization time delay measurements structural regularity astrophysical phenomenology Full Text Additional Declarations The authors declare no competing interests. Supplementary Files codesandsupportingresults.zip codes_and_supporting_results SupplementaryMaterialEvidenceforanIrreduciblelikeStructureinGalacticDynamicsandLensingPhenomenology.pdf Supplementary Material 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-8820527","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":587666099,"identity":"a8b8d2dc-8dd8-4c60-afd5-5d7fcb902352","order_by":0,"name":"Pengjie 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