Probing Information-Gauge Wilson Loops with OTOC(2): An IG–RUEQFT Interpretation and a Verification Proposal on Google’s Superconducting Platform

Probing Information-Gauge Wilson Loops with OTOC(2): An IG–RUEQFT Interpretation and a Verification Proposal on Google’s Superconducting Platform | 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 Probing Information-Gauge Wilson Loops with OTOC(2): An IG–RUEQFT Interpretation and a Verification Proposal on Google’s Superconducting Platform Ju Hyung Lee This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7995151/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 We present a purely theoretical proposal, independent of any industrial collaboration, to probe out-of-time-ordered correlators OTOC (2) via information-gauge Wilson loops . Within the renormalizable unified entanglement–entropy quantum field theory (IG–RUEQFT), we treat the information current J μ info as a dynamical variable minimally coupled to an information–gauge field A μ . Our loop-based interpretation yields falsifiable predictions for holonomy responses (perimeter/area mixtures and harmonic content) near the edge of ergodicity , and specifies measurement protocols that can be instantiated on diverse quantum platforms. Building on recent OTOC(2) interferometry on superconducting processors, we design hardware-ready protocols for Google’s platform that (i) map holonomies via phase-programmable insertions, (ii) isolate large-loop (off-diagonal) interference through diagonal/off-diagonal separation, and (iii) quantify information-current fronts and flux from spatiotemporal OTOC(2) gradients. The framework yields falsifiable predictions, including loop-size scaling laws near the edge of ergodicity, phase (holonomy) response maps with harmonic structure from path ordering, and crossed-loop commutator signals diagnosing non-commutative curvature. We specify an analysis pipeline with SNR targets, bootstrap uncertainty estimates, and model selection against classical nulls (Clifford surrogates, cached Monte Carlo, tensor-network contraction), together with robustness checks to disentangle noise from genuine loop phases. The resulting experiments target a practically accessible regime in which echo-enhanced OTOC(2) retains gauge phases long enough to differentiate IG–RUEQFT loop physics from alternative explanations, enabling a concrete, platform-level test of information-gauge curvature and its role in late-time quantum interference. Full Text Additional Declarations No competing interests reported. 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-7995151","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":538232885,"identity":"58354c8c-b5a0-46ad-8ab6-90a07d3ea183","order_by":0,"name":"Ju Hyung Lee","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0ElEQVRIiWNgGAWjYDACCQYGZjCDvQFIGFgQ1sEjwcDYDGEdAGmRIEWLRALUUkLAXrr5+OOCP3ZyujOfX93wo0CCgb+9OwG/LTLHEptntiUbm93OKbvZA3SYxJmzGwg4LMewmbeBOXHb7Zy0GzxALQYSuURo4flTX7/t5pm0m3+I18J2OMHsBvux28TZciMtcTZv23HDbWdy2G7LGEjwEPQL+4zkA595/lTLmx0//uzmmz82cvztvfi1IFtoACaJVQ628AEpqkfBKBgFo2AEAQBOBkY2IhTBHQAAAABJRU5ErkJggg==","orcid":"","institution":"XFC inc.","correspondingAuthor":true,"prefix":"","firstName":"Ju","middleName":"Hyung","lastName":"Lee","suffix":""}],"badges":[],"createdAt":"2025-10-31 06:52:54","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7995151/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7995151/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":94922061,"identity":"bf31633c-547c-46c1-964b-f62d000d1ef4","added_by":"auto","created_at":"2025-11-01 14:08:49","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":955913,"visible":true,"origin":"","legend":"","description":"","filename":"GoogleErgodicIJTP.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7995151/v1/0fdaac0a178e622fa9bb94d1.pdf"},{"id":94922062,"identity":"5e0fb005-9691-4216-9ff1-f2871b4067d9","added_by":"auto","created_at":"2025-11-01 14:08:49","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4622,"visible":true,"origin":"","legend":"","description":"","filename":"6cbb93da77174dff98881e5586bdd09c.json","url":"https://assets-eu.researchsquare.com/files/rs-7995151/v1/3734f4c6479ac7faea3a1e14.json"},{"id":96245816,"identity":"564dcc2d-bedc-4111-be74-ffb6eebf1606","added_by":"auto","created_at":"2025-11-19 07:23:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":927342,"visible":true,"origin":"","legend":"","description":"","filename":"GoogleErgodicIJTP.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7995151/v1_covered_7d320abe-3da0-4fef-b10a-503e2c5d8911.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Probing Information-Gauge Wilson Loops with OTOC(2): An IG–RUEQFT Interpretation and a Verification Proposal on Google’s Superconducting Platform","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"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":"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":"","lastPublishedDoi":"10.21203/rs.3.rs-7995151/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7995151/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe present \u003cem\u003ea purely theoretical\u003c/em\u003e proposal, independent of any industrial collaboration, to probe out-of-time-ordered correlators \u003cem\u003eOTOC\u003c/em\u003e(2) via \u003cem\u003einformation-gauge Wilson loops\u003c/em\u003e. Within the renormalizable unified entanglement–entropy quantum field theory (IG–RUEQFT), we treat the information current J\u003csup\u003eμ\u003c/sup\u003e\u003csub\u003einfo\u003c/sub\u003e as a dynamical variable minimally coupled to an information–gauge field A\u003csub\u003eμ\u003c/sub\u003e. Our loop-based interpretation yields falsifiable predictions for holonomy responses (perimeter/area mixtures and harmonic content) near the \u003cem\u003eedge of ergodicity\u003c/em\u003e, and specifies measurement protocols that can be instantiated on diverse quantum platforms. Building on recent OTOC(2) interferometry on superconducting processors, we design hardware-ready protocols for Google’s platform that (i) map holonomies via phase-programmable insertions, (ii) isolate large-loop (off-diagonal) interference through diagonal/off-diagonal separation, and (iii) quantify information-current fronts and flux from spatiotemporal OTOC(2) gradients. 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