Topological Redshift with a Fine-Structure-Constant Anchor Selects a Narrow Fixed-Amplitude Ridge in Anchored Type Ia Supernovae

Topological Redshift with a Fine-Structure-Constant Anchor Selects a Narrow Fixed-Amplitude Ridge in Anchored Type Ia Supernovae | 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 Topological Redshift with a Fine-Structure-Constant Anchor Selects a Narrow Fixed-Amplitude Ridge in Anchored Type Ia Supernovae GuoJunPan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9652579/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 report an anchored low-redshift test of a topological redshift scenario in which the late-time propagation correction is tied to a fine-structure-constant scale. Zero path length must imply zero correction, which excludes (1 + zobs) = (1 + ztrue)[1 + Ξ(ztrue)] when Ξ(0) ̸= 0 and instead selects zobs = ztrue[1 + Ξ(ztrue)]. Using the public Pantheon+SH0ES release, we find that a nearly constant late-time transport plateau is compatible with the shape of the low-redshift Type Ia supernova Hubble diagram. We then impose the SH0ES calibrator anchor explicitly and compare fixed amplitudes across an anchored late-time shape family. In a continuous profiled fixed-amplitude neighborhood scan, the strongest common-ridge counts occur near ϵeff ≃ 0.0871, while the closed-form candidate λ0 ≡ 4παem = 0.091701236889 remains on the same high-count ridge and outperforms the earlier ad hoc reference value ϵeff = 0.0931: the corresponding admissible-shape counts are (Ncore, Nstrong) = (75, 79) for λ0 and (72, 78) for 0.0931. The fixed-λ0 core set keeps the profiled true Hubble scale in the interval H0,true = 66.85–67.12 km s−1 Mpc−1 and remains sharply localized at late times, with max |Ξ(1100)| ≲ 10−33. Anchored low-redshift Type Ia supernova data therefore support a narrow late-time transport plateau band ϵeff ∼ 0.086–0.092, within which 4παem is a stronger fixed-amplitude summary than the previously used 0.0931 reference. cosmological parameters Hubble constant tension modified gravity type Ia supernovae fine structure constant 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. 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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-9652579","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":636790200,"identity":"4115d4fb-b294-4555-a8a9-9a3118a7f83a","order_by":0,"name":"GuoJunPan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAtklEQVRIiWNgGAWjYBACNvbm4x8+GLDJ8ROthY/nWBrjjAI+Y8kGYrXISeSYMfN8kEs0OEC0w4C2PJxhYJZgfDx5A8OPim1EaAH6xeCDQVqe2ZlnBYw9Z24TZUuC5AyDY8VmN3IMmBnbiNEikWMgzWPwP3HzDBK0mAG1sCVukCBaC8+xZMMZBmzGEkC/HCTKL/LtzQcffPgDjMr25I0PflQQoQUJJBAfNQgtpOoYBaNgFIyCEQIAD7M9UHhkl8EAAAAASUVORK5CYII=","orcid":"https://orcid.org/0009-0002-5750-6523","institution":"Independent Researcher","correspondingAuthor":true,"prefix":"","firstName":"","middleName":"","lastName":"GuoJunPan","suffix":""}],"badges":[],"createdAt":"2026-05-08 10:11:27","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-9652579/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9652579/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":108978101,"identity":"9ad802dd-46b1-48e2-9d3d-a25ce0b402c0","added_by":"auto","created_at":"2026-05-11 11:34:05","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":130464,"visible":true,"origin":"","legend":"","description":"","filename":"toporedshiftevidencev220260508.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9652579/v1_covered_184dfcea-fad7-4444-aa9c-4b0e79119dca.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eTopological Redshift with a Fine-Structure-Constant Anchor Selects a Narrow Fixed-Amplitude Ridge in Anchored Type Ia Supernovae\u003c/p\u003e","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":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":"cosmological parameters, Hubble constant tension, modified gravity, type Ia supernovae, fine structure constant","lastPublishedDoi":"10.21203/rs.3.rs-9652579/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9652579/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe report an anchored low-redshift test of a topological redshift scenario in which the late-time propagation correction is tied to a fine-structure-constant scale. Zero path length must imply zero correction, which excludes (1 + zobs) = (1 + ztrue)[1 + Ξ(ztrue)] when Ξ(0) ̸= 0 and instead selects zobs = ztrue[1 + Ξ(ztrue)]. Using the public Pantheon+SH0ES release, we find that a nearly constant late-time transport plateau is compatible with the shape of the low-redshift Type Ia supernova Hubble diagram. We then impose the SH0ES calibrator anchor explicitly and compare fixed amplitudes across an anchored late-time shape family. In a continuous profiled fixed-amplitude neighborhood scan, the strongest common-ridge counts occur near ϵeff ≃ 0.0871, while the closed-form candidate λ0 ≡ 4παem = 0.091701236889 remains on the same high-count ridge and outperforms the earlier ad hoc reference value ϵeff = 0.0931: the corresponding admissible-shape counts are (Ncore, Nstrong) = (75, 79) for λ0 and (72, 78) for 0.0931. The fixed-λ0 core set keeps the profiled true Hubble scale in the interval H0,true = 66.85–67.12 km s−1 Mpc−1 and remains sharply localized at late times, with max |Ξ(1100)| ≲ 10−33. Anchored low-redshift Type Ia supernova data therefore support a narrow late-time transport plateau band ϵeff ∼ 0.086–0.092, within which 4παem is a stronger fixed-amplitude summary than the previously used 0.0931 reference.\u003c/p\u003e","manuscriptTitle":"Topological Redshift with a Fine-Structure-Constant Anchor Selects a Narrow Fixed-Amplitude Ridge in Anchored Type Ia Supernovae","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-05-11 10:43:33","doi":"10.21203/rs.3.rs-9652579/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":"ebee59c4-10f3-432b-a2e9-42d63663fe71","owner":[],"postedDate":"May 11th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-05-11T10:43:33+00:00","versionOfRecord":[],"versionCreatedAt":"2026-05-11 10:43:33","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9652579","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9652579","identity":"rs-9652579","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}