Fermionic perturbations and spinning particle dynamics in asymptotically safe charged black holes

Fermionic perturbations and spinning particle dynamics in asymptotically safe charged black holes | 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 Fermionic perturbations and spinning particle dynamics in asymptotically safe charged black holes Erdem Sucu, izzet Sakallı This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8836854/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 7 You are reading this latest preprint version Abstract We investigate a quantum-corrected charged black hole obtained by promoting the Newtonian coupling to a scale-dependent quantity, as motivated by renormalization group improvement in Quantum Einstein Gravity. This yields a modified Reissner-Nordstrm spacetime where quantum effects are encoded through radial running of the gravitational coupling, while the classical limit is recovered at large distances. Fermionic Hawking radiation is studied within a tunneling framework based on a Generalized Uncertainty Principle-deformed Dirac equation. The resulting Hawking temperature is reduced relative to the semiclassical case, reflecting minimal-length effects that propagate into the thermodynamic sector. We derive quantum-corrected internal energy, Helmholtz free energy, and pressure within the extended phase space formalism. Deviations from classical thermodynamics are most pronounced near the event horizon and become negligible in the weak-field regime. The dynamical response is examined through fermionic perturbations by constructing the effective potential and employing a semiclassical approximation to compute the quasinormal mode spectrum and quality factors. Results indicate that running gravitational coupling mainly affects damping properties with milder impact on oscillation frequencies. Tidal forces analyzed via the geodesic deviation equation reveal characteristic transition radii where the nature of tidal deformation changes due to quantum corrections. Finally, motion of spinning magnetized test particles is explored through an effective radial potential, showing that quantum corrections primarily modify dynamics in the strong-field region while leaving asymptotic behavior essentially classical. Our results demonstrate how scale-dependent gravity and minimal-length effects jointly modify both thermodynamic and dynamical properties of charged black holes. Black hole Dirac Field Thermodynamics Quantum Corrections Quasinormal Modes Quality Factor Tidal Force Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 11 Apr, 2026 Reviewers agreed at journal 27 Mar, 2026 Reviewers agreed at journal 22 Mar, 2026 Reviewers invited by journal 06 Mar, 2026 Editor assigned by journal 12 Feb, 2026 Submission checks completed at journal 12 Feb, 2026 First submitted to journal 10 Feb, 2026 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-8836854","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":602465601,"identity":"21532c5d-9f60-45d2-9906-7688a4cb9cda","order_by":0,"name":"Erdem Sucu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2klEQVRIiWNgGAWjYHACAxDBY3+8AcS2IF6LHMOZAyC2BPFajBluJIBoIrTwSx/e+OjGH7vExpnPr274USDBwN/enYBXi2RfWrFxbltyYrN0TtnNHqDDJM6c3YDfVWd4zKRzGw4ktknnpN3gAWoxkMjFr8X+DI/575w/BxJ7JM+k3fxDjBYDHh4z5hy2A8YSEuzHbhNli8QZtmJpoF/kDHhy2G7LGEjwEPQLfw/zxs85f+x4DNiPP7v55o+NHH97L34tSIAHkgyIVQ4C7A9IUT0KRsEoGAUjCAAAl6ZEuu3N1a4AAAAASUVORK5CYII=","orcid":"","institution":"Eastern Mediterranean University","correspondingAuthor":true,"prefix":"","firstName":"Erdem","middleName":"","lastName":"Sucu","suffix":""},{"id":602465602,"identity":"a237f2ec-271e-426d-94c2-17bcbb2d39bf","order_by":1,"name":"izzet Sakallı","email":"","orcid":"","institution":"Eastern Mediterranean University","correspondingAuthor":false,"prefix":"","firstName":"izzet","middleName":"","lastName":"Sakallı","suffix":""}],"badges":[],"createdAt":"2026-02-10 05:54:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8836854/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8836854/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":104781262,"identity":"f36a9da4-4cd0-451c-b222-5a6d0aa452f9","added_by":"auto","created_at":"2026-03-17 07:55:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":817065,"visible":true,"origin":"","legend":"","description":"","filename":"EditorsQuantumCorrectedChargedBlackHolesNEW4.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8836854/v1_covered_1be4b3ba-5ee2-4e94-aba3-a04e5f1fae32.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Fermionic perturbations and spinning particle dynamics in asymptotically safe charged black holes","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"quantum-information-processing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"qinp","sideBox":"Learn more about [Quantum Information Processing](http://link.springer.com/journal/11128)","snPcode":"11128","submissionUrl":"https://submission.nature.com/new-submission/11128/3","title":"Quantum Information Processing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Black hole, Dirac Field, Thermodynamics, Quantum Corrections, Quasinormal Modes;Quality Factor, Tidal Force","lastPublishedDoi":"10.21203/rs.3.rs-8836854/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8836854/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe investigate a quantum-corrected charged black hole obtained by promoting the Newtonian coupling to a scale-dependent quantity, as motivated by renormalization group improvement in Quantum Einstein Gravity. 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