Dual Constant Unified Geometry

Dual Constant Unified Geometry | 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Submit a Preprint Cite Share Download PDF Article Dual Constant Unified Geometry Dayong Cao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7483283/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 observed phenomena. This paper reports the emergence of a single pair of constants across galaxies, strong gravitational lenses, CMB hot/cold spots (and voids), and the CMB blackbody spectrum: 𝑏 = 1, 𝜅★ = 𝛼𝑟0. These invariants are first obtained empirically from multi-system regressions and then derived as necessary consequences of self-similarity and regularity within the MEST structural-tensor framework. They unify orbital, deflection and thermodynamic geometries under a constants-first principle, providing a compact route to astrophysical unification and falsifiable predictions for future surveys. dual constant unification, galaxy rotation curves, gravitational lensing, cosmic microwave background, cosmic voids, scaling invariants, spacetime geometry Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Cosmology Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Dark energy and dark matter Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/General relativity and gravity Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Astrophysical disks Full Text Additional Declarations There is NO Competing Interest. Supplementary Files AppendixAFullDerivationFramework.pdf A AppendixBExtendedFitting.pdf B AppendixCMESTGRSupplementary.pdf C AppendixDSupplementaryBlackbodyFits.pdf D 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-7483283","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":508388299,"identity":"92531052-987b-4804-b651-e1e816be531b","order_by":0,"name":"Dayong Cao","email":"data:image/png;base64,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","orcid":"","institution":"Avoid Earth Extinction Association","correspondingAuthor":true,"prefix":"","firstName":"Dayong","middleName":"","lastName":"Cao","suffix":""}],"badges":[],"createdAt":"2025-08-28 21:10:41","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7483283/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7483283/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":91026934,"identity":"08c81eac-1267-44f0-bc25-ff33ddb07688","added_by":"auto","created_at":"2025-09-10 20:53:30","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":999695,"visible":true,"origin":"","legend":"Article File","description":"","filename":"DualConstantUnifiedGeometry.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7483283/v1_covered_d26a6b28-b2ab-465d-84d8-75e7414cbdc4.pdf"},{"id":90562747,"identity":"9a9dc543-8a74-49b0-8a05-97b106b66be3","added_by":"auto","created_at":"2025-09-04 06:35:48","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":3473,"visible":true,"origin":"","legend":"A","description":"","filename":"AppendixAFullDerivationFramework.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7483283/v1/afe917c47838ca4c4a0e7030.pdf"},{"id":90562391,"identity":"e8332243-0452-4189-9881-856a0c68e941","added_by":"auto","created_at":"2025-09-04 06:27:48","extension":"pdf","order_by":2,"title":"","display":"","copyAsset":false,"role":"supplement","size":3485,"visible":true,"origin":"","legend":"\u003cp\u003eB\u003c/p\u003e","description":"","filename":"AppendixBExtendedFitting.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7483283/v1/faa52e3042cb96035cba2b46.pdf"},{"id":90562389,"identity":"4847c24c-ed41-4305-8d73-a2f97943cdaf","added_by":"auto","created_at":"2025-09-04 06:27:48","extension":"pdf","order_by":3,"title":"","display":"","copyAsset":false,"role":"supplement","size":3920,"visible":true,"origin":"","legend":"\u003cp\u003eC\u003c/p\u003e","description":"","filename":"AppendixCMESTGRSupplementary.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7483283/v1/ac1fd88c8359cff86e936fb9.pdf"},{"id":90562392,"identity":"4c409459-be4a-47d8-bc94-ce4f5274b183","added_by":"auto","created_at":"2025-09-04 06:27:48","extension":"pdf","order_by":4,"title":"","display":"","copyAsset":false,"role":"supplement","size":3483,"visible":true,"origin":"","legend":"\u003cp\u003eD\u003c/p\u003e","description":"","filename":"AppendixDSupplementaryBlackbodyFits.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7483283/v1/fc40d2e64b271ebfb775c11e.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Dual Constant Unified Geometry","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-7483283/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7483283/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eobserved phenomena. This paper reports the emergence of a single pair of constants across galaxies, strong gravitational lenses, CMB hot/cold spots (and voids), and the CMB blackbody spectrum:\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e𝑏 = 1, 𝜅★ = 𝛼𝑟0.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThese invariants are first obtained empirically from multi-system regressions and then derived as necessary consequences of self-similarity and regularity within the MEST structural-tensor framework. They unify orbital, deflection and thermodynamic geometries under a constants-first principle, providing a compact route to astrophysical unification and falsifiable predictions for future surveys. dual constant unification, galaxy rotation curves, gravitational lensing, cosmic microwave background, cosmic voids, scaling invariants, spacetime geometry\u003c/p\u003e","manuscriptTitle":"Dual Constant Unified Geometry","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-04 06:27:44","doi":"10.21203/rs.3.rs-7483283/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"4e30c863-c799-44fe-a300-e2f3301aaf7e","owner":[],"postedDate":"September 4th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":53988670,"name":"Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Cosmology"},{"id":53988671,"name":"Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Dark energy and dark matter"},{"id":53988672,"name":"Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/General relativity and gravity"},{"id":53988673,"name":"Physical sciences/Astronomy and planetary science/Astronomy and astrophysics/Astrophysical disks"}],"tags":[],"updatedAt":"2025-09-10T20:45:20+00:00","versionOfRecord":[],"versionCreatedAt":"2025-09-04 06:27:44","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7483283","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7483283","identity":"rs-7483283","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}