Impact of Non-linear Interactions and the Coupling Constant λ on the Hawking Radiation Spectrum

Impact of Non-linear Interactions and the Coupling Constant λ on the Hawking Radiation Spectrum | 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 Impact of Non-linear Interactions and the Coupling Constant λ on the Hawking Radiation Spectrum André Pereira Marques Trindade Miranda This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6300922/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 In this work, we explore how non-linear quantum interactions, characterized by a coupling constant λ, modify the Hawking radiation spectrum in the context of black hole thermodynamics. While standard models of Hawking radiation assume linear field interactions, we incorporate the effects of non-linear coupling to investigate potential deviations in the emitted radiation. By numerically simulating these effects, we highlight the role of λ in altering both the temperature of the black hole and the overall particle emission spectrum. We demonstrate that modifications in the radiation spectrum, such as changes in polarization or asymmetries, are sensitive to the magnitude of λ offering insights into how quantum gravitational corrections can influence black hole evaporation. This work provides a new avenue for understanding quantum field dynamics in curved spacetimes and suggests possible experimental approaches for verifying these effects in both astrophysical and laboratory-based analog systems. 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-6300922","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":433570797,"identity":"9f07a744-d4db-4a13-9556-51bceafc877b","order_by":0,"name":"André Pereira Marques Trindade Miranda","email":"data:image/png;base64,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","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"André","middleName":"Pereira Marques Trindade","lastName":"Miranda","suffix":""}],"badges":[],"createdAt":"2025-03-25 07:01:08","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-6300922/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6300922/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":79235609,"identity":"43abce52-2c85-4ab6-a36a-01802407a136","added_by":"auto","created_at":"2025-03-26 04:00:02","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":263339,"visible":true,"origin":"","legend":"","description":"","filename":"lagrangianofermionicos.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6300922/v1_covered_af1ce45e-8dd4-46a0-bc19-9367a52988ed.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eImpact of Non-linear Interactions and the Coupling Constant λ on the Hawking Radiation Spectrum\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":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-6300922/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6300922/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this work, we explore how non-linear quantum interactions, characterized by a coupling constant\u003cbr\u003e\nλ, modify the Hawking radiation spectrum in the context of black hole thermodynamics. 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