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The Nuclear Rotor Atlas: Twenty-Five Unexpected Results | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 23 January 2026 V1 Latest version Share on The Nuclear Rotor Atlas: Twenty-Five Unexpected Results Author : Stephen Euin Cobb 0009-0001-2971-0984 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176918528.89650800/v1 103 views 47 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Built from more than eighty hours of rotor-field computation across 780 isotopes spanning the valley of stability, The Nuclear Rotor Atlas depicts each nucleus not as a simple 3-D droplet, but as a fourdimensional curvature domain on S³-a structure with internal coherence, nodal surfaces, and quantized curvature phase ψₙ. This Atlas is the first geometric survey of atomic nuclei treated as four-dimensional (⁴) rotor ℝ ensembles constrained to the three-sphere (S³). For each nucleus, it records the quaternion coordinates of every nucleon, its proton or neutron identity, total and component energies (toroidal, Coulomb, pairing, and commensurability), and derived metrics such as curvature coherence, mean density, deformation, and local shear. Supplementary Material File (r79-the nuclear rotor atlas--twenty-five unexpected results-v4.pdf) Download 260.83 KB Information & Authors Information Version history V1 Version 1 23 January 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords curvature coherence curvature polarization curvature resonance fusion compatibility geometric stability magic numbers from geometry nuclear rotor atlas proton–neutron lattices s³ rotor model Authors Affiliations Stephen Euin Cobb 0009-0001-2971-0984 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 103 views 47 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Stephen Euin Cobb. The Nuclear Rotor Atlas: Twenty-Five Unexpected Results. Authorea . 23 January 2026. DOI: https://doi.org/10.22541/au.176918528.89650800/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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