Effective Scalar Field Dynamics from Coarse-Grained Kinetic Entropy Distributions

Effective Scalar Field Dynamics from Coarse-Grained Kinetic Entropy Distributions | 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 Effective Scalar Field Dynamics from Coarse-Grained Kinetic Entropy Distributions Vivek Kumar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7426600/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 framework introduces a phenomenological scalar field model in which spatial gra- dients of coarse-grained kinetic entropy in collisionless media act as the source of an emergent force.This force is defined as the gradient of a scalar potential, constructed by smoothing the entropy field with a finite-range kernel, typically of Yukawa type, to ensure localized interactions. The field arises from a Lagrangian formulation designed to cap- ture the spatial structure of entropy gradients. Unlike traditional long-range forces, this force is short-ranged, context-dependent, and vanishes in entropy-equilibrated regions. The formulation is compatible with the collisionless Boltzmann (Vlasov) equation, While the scalar field is introduced on phenomenological grounds, the framework is supported by numerical simulations and yields testable predictions relevant to early structure for- mation. As a speculative effective field theory, It provides a falsifiable lens to explore entropy-driven dynamics in astrophysical and cosmological settings. Theoretical Physics Theoretical Astrophysics entropy entropy gradient 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-7426600","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":503695439,"identity":"fcb8549b-eb97-4c17-964b-47e4e8a7e537","order_by":0,"name":"Vivek Kumar","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAxElEQVRIiWNgGAWjYDACZgglByIOPCBFizFYSwIpliU2gEiitBgc5zF88LHNLn1+2OGHQFvs5HQbCGk5zGNsOLMtOXfj7TQDoJZkY7MDBLRINrOlSfO2MedunJ0A0nIgcRsRWtJ/87bVpxvOTv9AnBZ+ZuZjzLxthxPkpXOItAWo5bDkjHPHDTdI5xQcSDAgwi9s/AcbP3woq5aXn52++cOHCjs5glrAgJENGHRglQbEKAeDPwwM8g1Eqx4Fo2AUjIKRBgDtEkH1yYoD8wAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0009-0009-5720-6046","institution":"","correspondingAuthor":true,"prefix":"","firstName":"Vivek","middleName":"","lastName":"Kumar","suffix":""}],"badges":[],"createdAt":"2025-08-21 13:17:42","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-7426600/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7426600/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89635936,"identity":"98c03af8-9768-48c8-8cf4-59b26c331940","added_by":"auto","created_at":"2025-08-22 07:19:31","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1023272,"visible":true,"origin":"","legend":"","description":"","filename":"VGETAFramework.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7426600/v1_covered_73f1e586-0438-499a-9d58-db184d735187.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eEffective Scalar Field Dynamics from Coarse-Grained Kinetic Entropy Distributions\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"independent researcher","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"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":"entropy, entropy gradient","lastPublishedDoi":"10.21203/rs.3.rs-7426600/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7426600/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis framework introduces a phenomenological scalar field model in which spatial gra- dients of coarse-grained kinetic entropy in collisionless media act as the source of an emergent force.This force is defined as the gradient of a scalar potential, constructed by smoothing the entropy field with a finite-range kernel, typically of Yukawa type, to ensure localized interactions. 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