Screened Copy-Time Transport at Cosmic Dawn: A Microscopic Onsager Mechanism for Early Galaxy Compaction and Black-Hole Seed Growth

Screened Copy-Time Transport at Cosmic Dawn: A Microscopic Onsager Mechanism for Early Galaxy Compaction and Black-Hole Seed Growth | 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 Screened Copy-Time Transport at Cosmic Dawn: A Microscopic Onsager Mechanism for Early Galaxy Compaction and Black-Hole Seed Growth Mohamed Sacha This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9572138/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 The earliest compact galaxies and black-hole candidates expose a supply problem at cosmic dawn: gas must be delivered to the inner tens of parsecs on approximately a local dynamical time, while the linear CMB/BAO sector, baryon conservation, and the standard radiation-hydrodynamic variables remain unchanged. This paper formulates screened copy-time transport as a projected Onsager current driven by a regularized Fisher likelihood ratio associated with radiative and chemical records. The logarithmic field is not introduced as a free potential; it is the additive coordinate of the Radon–Nikodym ratio between the retained record measure and the ordinary radiation-hydrodynamic measure, with a finite receiver floor that regularizes cells in which the residual channel vanishes. Onsager reciprocity fixes the baryonic cross coefficient, L_{B\psi}^{(\ell)} = q_Q n_b D_B^{(\ell)} . The mobility D_B^{(\ell)} is evaluated from a filtered velocity power spectrum, and the structural Fisher coefficient is obtained from projected Poisson record channels with sub-grid clumping corrections. These ingredients define a closed push-forward from P(k,z), halo spin, and the low-angular-momentum gas fraction to a distribution P(\mathcal K|z) for the compaction-feeding kernel. In the fiducial upper tail, this distribution predicts order-unity increases in central gas supply and obscuring column density, together with a moderate reduction of effective radius, while leaving the Eddington law intact. The distinctive prediction is finite-band rather than monotonic: compactness and black-hole feeding peak only for halos whose spin and low-J reservoir overlap the receiver band. One-dimensional and two-dimensional finite-volume benchmarks test the resulting operator in time-dependent conservative problems; the two-dimensional case recomputes the gravitational potential at every step and conserves gas plus central reservoir to machine precision. A catalogue-level comparison with published JWST and X-ray systems indicates that the predicted displacement is aligned with the observed direction of compactness, obscuration, and early black-hole feeding. The construction therefore gives a quantitative, rejectable account of the supply-limited component of early galaxy compaction and black-hole seed growth. Astrophysics and Cosmology cosmic dawn high-redshift galaxies galaxy compaction black-hole seed growth radiation hydrodynamics Onsager reciprocity Green-Kubo relations Fisher information Mori projection baryonic inflow halo spin forward modelling Full Text Additional Declarations The authors declare no competing interests. Supplementary Files Allsupplement.zip Supplementary QICTSupplementaryMaterial.pdf 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-9572138","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":632161065,"identity":"efebee3a-9920-4e6c-a119-0af35cf6cf3c","order_by":0,"name":"Mohamed Sacha","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVRIiWNgGAWjYBCDBBAh8QFIsLGTokVyBkgLMylapHlAJCEtBjdyDBh/1Njl8U87fPC2za9t8nzMDIwfPubg18LMcyy5WOJ2WrJ1bt9twzZmBmbJmdtwazG7nbuBmYHtQGLD7Rwz6dye24xALWzMvAS0MP74dyBx/u38b9KWPbftidLCwNt2IHHD7Rw2aYYftxMJarG///7DYd6+5MSNt9OMLXsbbie3MTM24/WLZM+xxIc/vtklzrud/PDGjz+3bee3Nx/88BGPFhA4AGcxtoHJBvzqUcEfUhSPglEwCkbBSAEAqDZU/BwbxIAAAAAASUVORK5CYII=","orcid":"https://orcid.org/0009-0005-2078-2032","institution":"Independent Researcher","correspondingAuthor":true,"prefix":"","firstName":"Mohamed","middleName":"","lastName":"Sacha","suffix":""}],"badges":[],"createdAt":"2026-04-30 05:08:56","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-9572138/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9572138/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":108381827,"identity":"a169a02d-5830-4730-83e3-8994c5e767d2","added_by":"auto","created_at":"2026-05-04 05:10:51","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":406927,"visible":true,"origin":"","legend":"","description":"","filename":"QICTMainManuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9572138/v1_covered_cf3f5a5a-6083-47e1-a11d-a1f937ee8e51.pdf"},{"id":108381816,"identity":"dedba211-3c28-4288-b649-e6d50a2f1e77","added_by":"auto","created_at":"2026-05-04 05:10:41","extension":"zip","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":1328077,"visible":true,"origin":"","legend":"\u003cp\u003eSupplementary\u003c/p\u003e","description":"","filename":"Allsupplement.zip","url":"https://assets-eu.researchsquare.com/files/rs-9572138/v1/7c8f60649730c259d8026f7f.zip"},{"id":108381814,"identity":"f8008af4-fd65-4e29-bb3a-848866f7edfa","added_by":"auto","created_at":"2026-05-04 05:10:40","extension":"pdf","order_by":2,"title":"","display":"","copyAsset":false,"role":"supplement","size":253355,"visible":true,"origin":"","legend":"","description":"","filename":"QICTSupplementaryMaterial.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9572138/v1/636f76cdc023881bc6e9edee.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eScreened Copy-Time Transport at Cosmic Dawn: A Microscopic Onsager Mechanism for Early Galaxy Compaction and Black-Hole Seed Growth\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"independent Researcher","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":"cosmic dawn, high-redshift galaxies, galaxy compaction, black-hole seed growth, radiation hydrodynamics, Onsager reciprocity, Green-Kubo relations, Fisher information, Mori projection; baryonic inflow, halo spin, forward modelling","lastPublishedDoi":"10.21203/rs.3.rs-9572138/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9572138/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe earliest compact galaxies and black-hole candidates expose a supply problem at cosmic dawn: gas must be delivered to the inner tens of parsecs on approximately a local dynamical time, while the linear CMB/BAO sector, baryon conservation, and the standard radiation-hydrodynamic variables remain unchanged. This paper formulates screened copy-time transport as a projected Onsager current driven by a regularized Fisher likelihood ratio associated with radiative and chemical records. The logarithmic field is not introduced as a free potential; it is the additive coordinate of the Radon–Nikodym ratio between the retained record measure and the ordinary radiation-hydrodynamic measure, with a finite receiver floor that regularizes cells in which the residual channel vanishes.\u003c/p\u003e\n\u003cp\u003eOnsager reciprocity fixes the baryonic cross coefficient,\u003cbr\u003e\n L_{B\\psi}^{(\\ell)} = q_Q n_b D_B^{(\\ell)} .\u003cbr\u003e\n The mobility D_B^{(\\ell)} is evaluated from a filtered velocity power spectrum, and the structural Fisher coefficient is obtained from projected Poisson record channels with sub-grid clumping corrections. These ingredients define a closed push-forward from P(k,z), halo spin, and the low-angular-momentum gas fraction to a distribution P(\\mathcal K|z) for the compaction-feeding kernel. In the fiducial upper tail, this distribution predicts order-unity increases in central gas supply and obscuring column density, together with a moderate reduction of effective radius, while leaving the Eddington law intact.\u003c/p\u003e\n\u003cp\u003eThe distinctive prediction is finite-band rather than monotonic: compactness and black-hole feeding peak only for halos whose spin and low-J reservoir overlap the receiver band. One-dimensional and two-dimensional finite-volume benchmarks test the resulting operator in time-dependent conservative problems; the two-dimensional case recomputes the gravitational potential at every step and conserves gas plus central reservoir to machine precision. A catalogue-level comparison with published JWST and X-ray systems indicates that the predicted displacement is aligned with the observed direction of compactness, obscuration, and early black-hole feeding. The construction therefore gives a quantitative, rejectable account of the supply-limited component of early galaxy compaction and black-hole seed growth.\u003c/p\u003e","manuscriptTitle":"Screened Copy-Time Transport at Cosmic Dawn: A Microscopic Onsager Mechanism for Early Galaxy Compaction and Black-Hole Seed Growth","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-05-04 05:10:22","doi":"10.21203/rs.3.rs-9572138/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":"9f0e8838-60e2-44b4-b7cd-77164b27b090","owner":[],"postedDate":"May 4th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":67287652,"name":"Astrophysics and Cosmology"}],"tags":[],"updatedAt":"2026-05-04T05:10:22+00:00","versionOfRecord":[],"versionCreatedAt":"2026-05-04 05:10:22","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9572138","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9572138","identity":"rs-9572138","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}