Maxwell’s Equations with a Measurement‑Dependent Collapsible Field

Maxwell’s Equations with a Measurement‑Dependent Collapsible Field | 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 Article Maxwell’s Equations with a Measurement‑Dependent Collapsible Field Richard Ocaya, Komi Afassinou, Selepe Motloung, Fahrettin Yakuphanoglu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9371574/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 Classical electrodynamics presumes that all physically relevant field degrees of freedom are directly accessible to measurement. We examine whether coherence‑dependent dynamics can nevertheless influence observable behaviour while remaining operationally hidden. We introduce a minimal extension of Maxwell’s equations incorporating a hidden field whose influence is transient and suppressed by measurement‑like collapse. The field neither sources spacetime curvature nor introduces new interactions, but modifies electromagnetic propagation and energy redistribution in a coherence‑limited regime. Analytical derivations and numerical simulations demonstrate transient phase accumulation, energy‑density gradients, and short‑lived force‑like responses that vanish smoothly as the collapse rate increases, recovering standard electrodynamics. The resulting dynamics exhibit a source–mediator–sink structure governed by collapse control. We identify experimentally accessible signatures based on dispersive, phase‑sensitive measurements, establishing a controlled framework for probing hidden coherence effects within classical field theory. Physical sciences/Mathematics and computing Physical sciences/Physics Full Text Additional Declarations There is NO Competing Interest. Supplementary Files NaturehiddenfieldSupplementaryInformation.pdf Supplementary Information: Maxwell’s Equations with a Measurement‑Dependent Collapsible Field summaryparagraph.pdf Related Manuscript File 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. 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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-9371574","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":633996202,"identity":"4f6bd9a2-5596-42a6-8f92-3dc4f7f0191d","order_by":0,"name":"Richard 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