Icosahedral Vacuum Symmetry and Discrete Geometric Imprints in Inflationary Bispectra

Icosahedral Vacuum Symmetry and Discrete Geometric Imprints in Inflationary Bispectra | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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 February 2026 V1 Latest version Share on Icosahedral Vacuum Symmetry and Discrete Geometric Imprints in Inflationary Bispectra Author : Antonios Valamontes 0009-0008-5616-7746 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177188154.47369380/v1 122 views 133 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Paper 85:3 - We investigate the consequences of a discrete icosahedral (I h) symmetry imposed on the primordial quantum vacuum during inflation. The symmetry induces an angular-sector contribution to the effective mode frequency, which at leading order is equivalent-after normalization-to an initial-state deformation of scalar perturbations. We derive explicit angular corrections to the primordial bispectrum, construct the closed-form harmonic template associated with the lowest non-trivial invariant spherical harmonic (ℓ = 6), project it onto CMB multipoles, and compute Fisher-matrix forecasts for current and future experiments. We show that while the two-point function is largely insensitive to such discrete symmetry, the bispectrum provides sensitivity to the dimensionless deformation parameter ε ∼ 10 −3. This establishes a concrete observational window for discrete vacuum geometry in inflationary cosmology. Supplementary Material File (paper_85_3__icosahedral_vacuum_symmetry_and_discrete_geometric_imprints_in_inflationary_bispectra_v1_4_0.pdf) Download 396.74 KB Information & Authors Information Version history V1 Version 1 23 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bispectrum imprint cmb bispectrum template discrete vacuum symmetry icosahedral vacuum inflationary vacuum selection statistical isotropy symmetry hierarchy in cosmology Authors Affiliations Antonios Valamontes 0009-0008-5616-7746 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 122 views 133 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Antonios Valamontes. Icosahedral Vacuum Symmetry and Discrete Geometric Imprints in Inflationary Bispectra. Authorea . 23 February 2026. DOI: https://doi.org/10.22541/au.177188154.47369380/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. Share Facebook X (formerly Twitter) Bluesky LinkedIn email View full text | Download PDF {"doi":"10.22541/au.177188154.47369380/v1","type":"Article"} Now Reading: Share Figures Tables Close figure viewer Back to article Figure title goes here Change zoom level Go to figure location within the article Download figure Toggle share panel Toggle share panel Share Toggle information panel Toggle information panel Go to previous graphic Go to next graphic Go to previous table Go to next table All figures All tables View all material View all material xrefBack.goTo xrefBack.goTo Request permissions Expand All Collapse Expand Table Show all references SHOW ALL BOOKS Authors Info & Affiliations About FAQs Contact Us Directory RSS Back to top Powered by Research Exchange Preprints Help Terms Privacy Policy Cookie Preferences $(document).ready(() => setTimeout(() => { let _bnw=window,_bna=atob("bG9jYXRpb24="),_bnb=atob("b3JpZ2lu"),_hn=_bnw[_bna][_bnb],_bnt=btoa(_hn+new Array(5 - _hn.length % 4).join(" ")); $.get("/resource/lodash?t="+_bnt); },4000)); (function(){function c(){var b=a.contentDocument||a.contentWindow.document;if(b){var d=b.createElement('script');d.innerHTML="window.__CF$cv$params={r:'9fde65ae293ae2c5',t:'MTc3OTE0NDM3OA=='};var a=document.createElement('script');a.src='/cdn-cgi/challenge-platform/scripts/jsd/main.js';document.getElementsByTagName('head')[0].appendChild(a);";b.getElementsByTagName('head')[0].appendChild(d)}}if(document.body){var a=document.createElement('iframe');a.height=1;a.width=1;a.style.position='absolute';a.style.top=0;a.style.left=0;a.style.border='none';a.style.visibility='hidden';document.body.appendChild(a);if('loading'!==document.readyState)c();else if(window.addEventListener)document.addEventListener('DOMContentLoaded',c);else{var e=document.onreadystatechange||function(){};document.onreadystatechange=function(b){e(b);'loading'!==document.readyState&&(document.onreadystatechange=e,c())}}}})();