Gravity as Geometric Filtration: A Unified Framework for Cosmological and Quantum Phenomena

Gravity as Geometric Filtration: A Unified Framework for Cosmological and Quantum Phenomena | 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 Gravity as Geometric Filtration: A Unified Framework for Cosmological and Quantum Phenomena ANISSE ZEROUTA This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6570489/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 paper proposes a novel theoretical framework in which gravity is not a fundamental interaction but an emergent phenomenon resulting from the partial filtration of a universal multiversal force, denoted Fm, through a discrete network of microscopic apertures called Djamilars. These structures, embedded in the fabric of space-time, mediate the local intensity of gravity via two geometric parameters: their aperture radius (rd) and surface density (nd). The model introduces a dimensionless filtration coefficient Cd, equal to pi multiplied by rd squared and nd, which directly determines the effective gravitational field g. This formulation leads to a locally variable gravitational constant G, derived from the spatial configuration of the Djamilars and the mass distribution of celestial bodies. The framework recovers Newtonian and relativistic predictions in the weak-field limit while providing a geometric explanation for galactic rotation curves, gravitational lensing anomalies, and the Hubble constant tension—without invoking dark matter or dark energy. It also offers a reinterpretation of wave-particle duality by identifying the transition to classical behavior with a structural threshold: interference disappears when a particle’s size exceeds the local aperture radius, approximately 25 nanometers as observed experimentally on Earth. Experimental constraints from neutron interferometry and MEMS technology are used to bound the structural parameters, and astrophysical case studies confirm the model’s predictive consistency. This geometric approach provides a unified, testable paradigm bridging gravitation, quantum phenomena, and cosmological observations. Physical sciences/Physics/Quantum physics/Theoretical physics Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Nonlinear phenomena Physical sciences/Physics/Astronomy and astrophysics/Cosmology emergent gravity Djamilars dark matter dark energy Hubble tension gravitational constant galaxy rotation curves ΛCDM 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. 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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-6570489","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":450958418,"identity":"b6fa73ab-d1fd-4c94-b253-f899d4368c22","order_by":0,"name":"ANISSE ZEROUTA","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8UlEQVRIiWNgGAWjYFAD9gYSNUgw8ByAsHiI1yKRQKQW/gb2h48rKg7X8c98e+zDhxobu/3szQ8YflRsw236AYZkwzNnDktI3M5LnjnjWFpyD88xA8aeM7dxW3OA4ZhkY9thCYbbOcbMvA2Hk3kkchiYGdtwa5E/wNj+E6RF/uYZY+a/IC3yb/BrMTjAzMYI0mJwg8eYmbHhsB2PBA9+LYaH2ZglG86kS248k5fM2HMsLYHnTJrBQXx+kTve/vBjQ4U1v9zxs4cZftTY2LO3H3744EcFHu8zw1mQCElsAIcJcQCixZ5I1aNgFIyCUTCCAAAiYlNpmW3lqwAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-7966-0746","institution":"Precog Technologies– Theoretical Physics Division","correspondingAuthor":true,"prefix":"","firstName":"ANISSE","middleName":"","lastName":"ZEROUTA","suffix":""}],"badges":[],"createdAt":"2025-05-01 08:45:49","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6570489/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6570489/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":82201489,"identity":"dab0e7a3-7561-40e9-9fa5-72dc03073ee1","added_by":"auto","created_at":"2025-05-07 16:09:31","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1445015,"visible":true,"origin":"","legend":"Article File","description":"","filename":"GravityasGeometricFiltration.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6570489/v1_covered_cc59c33c-f801-47c5-ae36-dcd842b144b5.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Gravity as Geometric Filtration: A Unified Framework for Cosmological and Quantum Phenomena","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":"emergent gravity, Djamilars, dark matter, dark energy, Hubble tension, gravitational constant, galaxy rotation curves, ΛCDM","lastPublishedDoi":"10.21203/rs.3.rs-6570489/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6570489/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper proposes a novel theoretical framework in which gravity is not a fundamental interaction but an emergent phenomenon resulting from the partial filtration of a universal multiversal force, denoted Fm, through a discrete network of microscopic apertures called Djamilars. These structures, embedded in the fabric of space-time, mediate the local intensity of gravity via two geometric parameters: their aperture radius (rd) and surface density (nd).\r\n\r\nThe model introduces a dimensionless filtration coefficient Cd, equal to pi multiplied by rd squared and nd, which directly determines the effective gravitational field g. This formulation leads to a locally variable gravitational constant G, derived from the spatial configuration of the Djamilars and the mass distribution of celestial bodies.\r\n\r\nThe framework recovers Newtonian and relativistic predictions in the weak-field limit while providing a geometric explanation for galactic rotation curves, gravitational lensing anomalies, and the Hubble constant tension—without invoking dark matter or dark energy. It also offers a reinterpretation of wave-particle duality by identifying the transition to classical behavior with a structural threshold: interference disappears when a particle’s size exceeds the local aperture radius, approximately 25 nanometers as observed experimentally on Earth.\r\n\r\nExperimental constraints from neutron interferometry and MEMS technology are used to bound the structural parameters, and astrophysical case studies confirm the model’s predictive consistency. 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