The minimal interaction induced by the translation subgroup has a gap and possible relates to the strong fundamental interaction.

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Abstract The paper investigates the low-symmetric state of the compensating field of the distortion tensor and proves that there is a gap in this state. It is shown that the distortion tensor is the compensating field of the minimal interaction induced by the translation subgroup. On the example of electron pairing in a Cooper pair it was proved that the distortion tensor is responsible for the electron-phonon interaction. In this paper, for the first time, an exact wave solution for sound pressure in a continuous medium is obtained from the equations of state for the distortion tensor. It is shown that the sound is described as "massive" wave of the distortion tensor, the spectrum of which has the minimal frequency, which corresponds to a gap. The presence of a gap in the low-symmetric state gives grounds to believe that the distortion tensor, as a compensating interaction field, describes a strong fundamental interaction. As it is known, the description of the gap in the strong fundamental interaction is declared a Millennium problem by the Clay Mathematical Institute (CMI).
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The minimal interaction induced by the translation subgroup has a gap and possible relates to the strong fundamental interaction. | 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 The minimal interaction induced by the translation subgroup has a gap and possible relates to the strong fundamental interaction. Alexander Braginsky This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-216905/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 paper investigates the low-symmetric state of the compensating field of the distortion tensor and proves that there is a gap in this state. It is shown that the distortion tensor is the compensating field of the minimal interaction induced by the translation subgroup. On the example of electron pairing in a Cooper pair it was proved that the distortion tensor is responsible for the electron-phonon interaction. In this paper, for the first time, an exact wave solution for sound pressure in a continuous medium is obtained from the equations of state for the distortion tensor. It is shown that the sound is described as "massive" wave of the distortion tensor, the spectrum of which has the minimal frequency, which corresponds to a gap. The presence of a gap in the low-symmetric state gives grounds to believe that the distortion tensor, as a compensating interaction field, describes a strong fundamental interaction. As it is known, the description of the gap in the strong fundamental interaction is declared a Millennium problem by the Clay Mathematical Institute (CMI). High Energy and Particle Physics Low-symmetric State Compensating Field Distortion Tensor Cooper Pair Electron-phonon Interaction Full Text Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the latest manuscript can be downloaded and accessed as a 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. 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-216905","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":11515266,"identity":"6d3a1be4-d73e-458b-90e5-55a4e7fd0d08","order_by":0,"name":"Alexander Braginsky","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIiWNgGAWjYFACHhAhAaIZHwAZMiRpYTYAMniI1QKm2SSQuLgBfwPvsQ8/flnkyfecMau6UWPBwyB9xgCvFokDfMkze/skig3O9pjdzjkGdBhfDn4tDAd4jBl4eyQSN/DzALWwAbXw8ODXIg/UwvgXqGV+P49Zcc4/IrQYALUw8/yQSGwAOow5t40ILYaH+ZKZZRuADjtzrFg6t0+Ch42HrQCvFrnjvYcZ3/ypS5zfk7zxc863Ojl+HuYNeLUwMAMxYxuIxQFxDxt+9TDwB0SwPyBO8SgYBaNgFIw4AADdfDpR8fwp6wAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0001-5626-0248","institution":"Uznyj Federal'nyj Universitet","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Alexander","middleName":"","lastName":"Braginsky","suffix":""}],"badges":[],"createdAt":"2021-02-07 05:06:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-216905/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-216905/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":13595909,"identity":"ba0e92f7-c4e1-4888-a24c-2fbb5509135a","added_by":"auto","created_at":"2021-09-17 05:26:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":322111,"visible":true,"origin":"","legend":"","description":"","filename":"Braginsky05gap2020.pdf","url":"https://assets-eu.researchsquare.com/files/rs-216905/v1_covered.pdf"},{"id":6413169,"identity":"eaf7c712-64eb-4a91-a7f3-d755d48abff1","added_by":"auto","created_at":"2021-02-26 21:57:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":595484,"visible":true,"origin":"","legend":"","description":"","filename":"Braginsky05gap2020.pdf","url":"https://assets-eu.researchsquare.com/files/rs-216905/v1_stamped.pdf"}],"financialInterests":"","formattedTitle":"The minimal interaction induced by the translation subgroup has a gap and possible relates to the strong fundamental interaction.","fulltext":[{"header":"Full Text","content":"Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. 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