A Contribution to Resolving the Core Cusp Problem by the Unified Informational Theory

A Contribution to Resolving the Core Cusp Problem by the Unified Informational Theory | 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 A Contribution to Resolving the Core Cusp Problem by the Unified Informational Theory Amine CHBIHI MOUKIT This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8744593/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted You are reading this latest preprint version Abstract We present the Unified Informational Theory (TURI), positing information as the primordial physical substrate. Starting from a cyclic universe with constant entropy (ΔS cycle = 0), we derive a universal profile of density ρ(r)=ρ₀sech⁸(r/r c ) possessing a structural additivity property by convolution. This profile structurally solves the "Core-Cusp" problem: the condition dρ/dr|_(r→0) = 0 generates a flat core consistent with observations [1], unlike the singularities of the ΛCDM model. The convergence of the enclosed mass rigorously reproduces the Keplerian laws (V∝ √(1/R)). the parameter P = |T×V_rot×mabs| quantifies the compositional homogeneity of the medium [2]. The application to a few massive galaxies suggests the preservation of the sech⁸ structure at the baryonic level, paving the way for the universality of this distribution for dark and baryonic matter. Our profile strictly preserves Newtonian gravity (V²(R) = G.M(R)/R) without forced modification, revealing that dark and baryonic matter constitute manifestations of a single fundamental informational substrate. Cyclic universe Informational entropy Dark matter Core-Cusp problem density Galactic dynamics Full Text Additional Declarations No competing interests reported. Supplementary Files DDO154.xlsx NGC0289.xlsx UGCA444.xlsx UGC06628.xlsx UGCA442.xlsx NGC0300.xlsx UGC07232.xlsx UGC06614.xlsx UGC02455.xlsx NGC0247.xlsx NGC5005.xlsx UGC12732.xlsx NGC2366.xlsx UGCA281.xlsx UGC02885.xlsx UGC09992.xlsx UGC04483.xlsx NGC1705.xlsx NGC4068.xlsx NGC2915.xlsx UGC11557core.xlsx UGC06446core.xlsx NGC4157core.xlsx NGC3109core.xlsx NGC7793core.xlsx Cite Share Download PDF Status: Under Review 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-8744593","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":610921305,"identity":"4fb3336d-5f76-4a9f-9d10-0768e373d4fc","order_by":0,"name":"Amine CHBIHI MOUKIT","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVRIie3SMQrCMBSA4dRAXFK7JijtFSpeqJncXDraoRKIizhKF+/gESqBXqId6tLJoZO4KCbo4hLjJph/eISQj7cEAJfrJ/NyNcoEEW/VqoO+aa0Jj58ExjarygQQgIgVCXZStH3WLEZjLpY4a8IAQNSbCKnZelpUXYomR1HjqpvRHMLCuKZmYuznkgnCFEGSHcpAGkWkye1FUnzXBEIjiTXxXgT6woJMFaGbSqaIME73Wzmj/AMJ63lHrplcRMX81J8vMgyG3EzeGmA9vwDqI1y/ee1yuVx/0wMHB08p9Y5A/QAAAABJRU5ErkJggg==","orcid":"","institution":"Independent Researcher","correspondingAuthor":true,"prefix":"","firstName":"Amine","middleName":"CHBIHI","lastName":"MOUKIT","suffix":""}],"badges":[],"createdAt":"2026-01-30 19:54:00","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8744593/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8744593/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105570400,"identity":"0453995e-f3d4-4679-8800-84ddba633c4b","added_by":"auto","created_at":"2026-03-27 13:16:41","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":721480,"visible":true,"origin":"","legend":"","description":"","filename":"ArticleCompletAngV3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1_covered_1185321f-5aa8-47ca-bd9c-3c59008f5e7a.pdf"},{"id":105566295,"identity":"2407e49e-6807-4c90-be20-2a7058013eee","added_by":"auto","created_at":"2026-03-27 12:56:03","extension":"xlsx","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":32233,"visible":true,"origin":"","legend":"","description":"","filename":"DDO154.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/d577cba095688f0f2c7c5642.xlsx"},{"id":105540555,"identity":"50a9f8f7-e5b6-4bc7-9d47-23ee6200c78c","added_by":"auto","created_at":"2026-03-27 08:07:03","extension":"xlsx","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":33656,"visible":true,"origin":"","legend":"","description":"","filename":"NGC0289.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/3db45762285c1d668cdaf628.xlsx"},{"id":105566616,"identity":"f703b696-d025-4fcb-93af-27c8889cc41e","added_by":"auto","created_at":"2026-03-27 12:56:49","extension":"xlsx","order_by":2,"title":"","display":"","copyAsset":false,"role":"supplement","size":36218,"visible":true,"origin":"","legend":"","description":"","filename":"UGCA444.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/c3a8a398aad6619b00449027.xlsx"},{"id":105566835,"identity":"17d26736-0250-41df-a1e9-816df291636d","added_by":"auto","created_at":"2026-03-27 12:57:29","extension":"xlsx","order_by":3,"title":"","display":"","copyAsset":false,"role":"supplement","size":25296,"visible":true,"origin":"","legend":"","description":"","filename":"UGC06628.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/d3038eb60fb72f4c1052609f.xlsx"},{"id":105540563,"identity":"4c890e1f-4129-4fbd-a081-40956505e3a8","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":4,"title":"","display":"","copyAsset":false,"role":"supplement","size":25777,"visible":true,"origin":"","legend":"","description":"","filename":"UGCA442.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/eb59ed8886d4cf8c17b974df.xlsx"},{"id":105566425,"identity":"1b374f99-5ed6-4ee2-96d1-0a3fec343e8f","added_by":"auto","created_at":"2026-03-27 12:56:25","extension":"xlsx","order_by":5,"title":"","display":"","copyAsset":false,"role":"supplement","size":31355,"visible":true,"origin":"","legend":"","description":"","filename":"NGC0300.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/625fcd45bd68f8eb5429d816.xlsx"},{"id":105566805,"identity":"5dc038dc-196e-4956-9396-ed344633ae6b","added_by":"auto","created_at":"2026-03-27 12:57:23","extension":"xlsx","order_by":6,"title":"","display":"","copyAsset":false,"role":"supplement","size":24254,"visible":true,"origin":"","legend":"","description":"","filename":"UGC07232.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/91a841b33a976b095814a438.xlsx"},{"id":105540557,"identity":"8b81d5bc-9249-42c4-ba39-53d0e8a04bbc","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":7,"title":"","display":"","copyAsset":false,"role":"supplement","size":27865,"visible":true,"origin":"","legend":"","description":"","filename":"UGC06614.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/26a9a6158797fd9cce7f1cb9.xlsx"},{"id":105540562,"identity":"45c30458-8b49-49d0-821a-3dc75b281a86","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":8,"title":"","display":"","copyAsset":false,"role":"supplement","size":25713,"visible":true,"origin":"","legend":"","description":"","filename":"UGC02455.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/4780b637c859fbd7ffdb44c5.xlsx"},{"id":105540560,"identity":"c3dbe857-6489-41f9-8077-04c91d5e062d","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":9,"title":"","display":"","copyAsset":false,"role":"supplement","size":32213,"visible":true,"origin":"","legend":"","description":"","filename":"NGC0247.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/34957a41c9b3307af48f86b6.xlsx"},{"id":105566507,"identity":"71601d25-d341-43e0-aa98-06c87d9c02ab","added_by":"auto","created_at":"2026-03-27 12:56:35","extension":"xlsx","order_by":10,"title":"","display":"","copyAsset":false,"role":"supplement","size":29365,"visible":true,"origin":"","legend":"","description":"","filename":"NGC5005.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/fd365e64a02b603aaf9f46af.xlsx"},{"id":105540565,"identity":"ca94f0c0-c6ec-4b04-8de6-df3e018ec3e5","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":11,"title":"","display":"","copyAsset":false,"role":"supplement","size":28596,"visible":true,"origin":"","legend":"","description":"","filename":"UGC12732.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/1b6d092d842fddf30ae70aa1.xlsx"},{"id":105566997,"identity":"9a710f8d-2c37-4a3b-8819-735d2c268561","added_by":"auto","created_at":"2026-03-27 12:57:59","extension":"xlsx","order_by":12,"title":"","display":"","copyAsset":false,"role":"supplement","size":32037,"visible":true,"origin":"","legend":"","description":"","filename":"NGC2366.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/3f65cf0547412998ec161afe.xlsx"},{"id":105566732,"identity":"ae9a3fb2-7595-43cb-8385-306902004fc3","added_by":"auto","created_at":"2026-03-27 12:57:08","extension":"xlsx","order_by":13,"title":"","display":"","copyAsset":false,"role":"supplement","size":25410,"visible":true,"origin":"","legend":"","description":"","filename":"UGCA281.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/2ffb0aa6a3ab2da804d8e9ce.xlsx"},{"id":105566811,"identity":"8b10f801-ae03-4735-bda0-a060c92e792e","added_by":"auto","created_at":"2026-03-27 12:57:25","extension":"xlsx","order_by":14,"title":"","display":"","copyAsset":false,"role":"supplement","size":29826,"visible":true,"origin":"","legend":"","description":"","filename":"UGC02885.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/3679ba0ffaae20dc0b67d96f.xlsx"},{"id":105540574,"identity":"f859533e-f71b-42d5-ab84-d9d4c66d0003","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":15,"title":"","display":"","copyAsset":false,"role":"supplement","size":29774,"visible":true,"origin":"","legend":"","description":"","filename":"UGC09992.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/402f81630fd01e4c5bff4ca0.xlsx"},{"id":105566998,"identity":"7a6f0942-d549-4800-9ef5-df05ee81df67","added_by":"auto","created_at":"2026-03-27 12:57:59","extension":"xlsx","order_by":16,"title":"","display":"","copyAsset":false,"role":"supplement","size":31070,"visible":true,"origin":"","legend":"","description":"","filename":"UGC04483.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/652ad32347449d2253773e36.xlsx"},{"id":105540568,"identity":"abdf4cd1-806a-4cd5-8770-d8fb827c7063","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":17,"title":"","display":"","copyAsset":false,"role":"supplement","size":33635,"visible":true,"origin":"","legend":"","description":"","filename":"NGC1705.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/46f7ea3fcd03f228f5b9c815.xlsx"},{"id":105567069,"identity":"2b1ffd27-cba4-48f6-8459-5bad60d1a301","added_by":"auto","created_at":"2026-03-27 12:58:13","extension":"xlsx","order_by":18,"title":"","display":"","copyAsset":false,"role":"supplement","size":30263,"visible":true,"origin":"","legend":"","description":"","filename":"NGC4068.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/aa257bf1573b3e063219e2e2.xlsx"},{"id":105540576,"identity":"8522306e-456a-443f-be35-61960aec96f6","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":19,"title":"","display":"","copyAsset":false,"role":"supplement","size":39742,"visible":true,"origin":"","legend":"","description":"","filename":"NGC2915.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/426ba7b9c3216f2de9cf8445.xlsx"},{"id":105567425,"identity":"43c4b8c1-4767-4af5-aa01-e8f6117dfa64","added_by":"auto","created_at":"2026-03-27 12:59:22","extension":"xlsx","order_by":20,"title":"","display":"","copyAsset":false,"role":"supplement","size":26738,"visible":true,"origin":"","legend":"","description":"","filename":"UGC11557core.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/a2fca34a00a209f87928272c.xlsx"},{"id":105540570,"identity":"aee6aac7-235b-4e43-9fe9-808f6eec2543","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":21,"title":"","display":"","copyAsset":false,"role":"supplement","size":27159,"visible":true,"origin":"","legend":"","description":"","filename":"UGC06446core.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/f79ea5e6ecab69ab1e295794.xlsx"},{"id":105540572,"identity":"aa2d2f39-f728-4b39-a8fa-5cfdee0302cf","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":22,"title":"","display":"","copyAsset":false,"role":"supplement","size":27438,"visible":true,"origin":"","legend":"","description":"","filename":"NGC4157core.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/7209fa23685dbb53a6902e1c.xlsx"},{"id":105567072,"identity":"796b7596-437c-40b5-9fff-46e2dcddf7b4","added_by":"auto","created_at":"2026-03-27 12:58:13","extension":"xlsx","order_by":23,"title":"","display":"","copyAsset":false,"role":"supplement","size":29340,"visible":true,"origin":"","legend":"","description":"","filename":"NGC3109core.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/17ae6e2fc859656a828bc42a.xlsx"},{"id":105540577,"identity":"a9a624ce-200b-4fb5-b06d-2e183dc39381","added_by":"auto","created_at":"2026-03-27 08:07:04","extension":"xlsx","order_by":24,"title":"","display":"","copyAsset":false,"role":"supplement","size":38733,"visible":true,"origin":"","legend":"","description":"","filename":"NGC7793core.xlsx","url":"https://assets-eu.researchsquare.com/files/rs-8744593/v1/743e9f65c38d5ed5019720e4.xlsx"}],"financialInterests":"No competing interests reported.","formattedTitle":"A Contribution to Resolving the Core Cusp Problem by the Unified Informational Theory","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":true,"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":"discover-space","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Space](https://link.springer.com/journal/11038)","snPcode":"11038","submissionUrl":"https://submission.springernature.com/new-submission/11038/3","title":"Discover Space","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Cyclic universe, Informational entropy, Dark matter, Core-Cusp problem, density, Galactic dynamics","lastPublishedDoi":"10.21203/rs.3.rs-8744593/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8744593/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe present the Unified Informational Theory (TURI), positing information as the primordial physical substrate. Starting from a cyclic universe with constant entropy (ΔS\u003csub\u003ecycle\u003c/sub\u003e = 0), we derive a universal profile of density ρ(r)=ρ₀sech⁸(r/r\u003csub\u003ec\u003c/sub\u003e) possessing a structural additivity property by convolution.\u003c/p\u003e \u003cp\u003eThis profile structurally solves the \"Core-Cusp\" problem: the condition dρ/dr|_(r\u0026rarr;0)\u0026thinsp;=\u0026thinsp;0 generates a flat core consistent with observations [1], unlike the singularities of the ΛCDM model. The convergence of the enclosed mass rigorously reproduces the Keplerian laws (V\u0026prop; \u0026radic;(1/R)). the parameter P = |T\u0026times;V_rot\u0026times;mabs| quantifies the compositional homogeneity of the medium [2].\u003c/p\u003e \u003cp\u003eThe application to a few massive galaxies suggests the preservation of the sech⁸ structure at the baryonic level, paving the way for the universality of this distribution for dark and baryonic matter. Our profile strictly preserves Newtonian gravity (V\u0026sup2;(R)\u0026thinsp;=\u0026thinsp;G.M(R)/R) without forced modification, revealing that dark and baryonic matter constitute manifestations of a single fundamental informational substrate.\u003c/p\u003e","manuscriptTitle":"A Contribution to Resolving the Core Cusp Problem by the Unified Informational Theory","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-27 08:06:59","doi":"10.21203/rs.3.rs-8744593/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"discover-space","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Space](https://link.springer.com/journal/11038)","snPcode":"11038","submissionUrl":"https://submission.springernature.com/new-submission/11038/3","title":"Discover Space","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"87815572-66c8-4e9f-b265-e7e514004096","owner":[],"postedDate":"March 27th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-03-27T08:06:59+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-27 08:06:59","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8744593","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8744593","identity":"rs-8744593","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}