Time as a Derivative Property: Bridging Classical and Quantum Dynamics through Space-Energy Interactions

Time as a Derivative Property: Bridging Classical and Quantum Dynamics through Space-Energy Interactions | 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 Time as a Derivative Property: Bridging Classical and Quantum Dynamics through Space-Energy Interactions Azadeh Alavi, Abdolrahman Alavi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5796168/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 propose a novel framework in which time emerges as a derivative property of dynamic interactions between space and energy. By integrating energy-dependent contributions into the metric tensor, this approach offers a unified description that bridges weak-field dynamics and high-energy regimes. Unlike traditional theories that treat time as a fundamental coordinate, our model derives time from coupled gradients of space and energy , thereby addressing both classical and quantum phenomena. To validate this framework, we present analytical formulations, numerical simulations, and comparisons with observational data. Notably, our model predicts measurable gravitational-wave distortions and anisotropies driven by energy gradients. We also define a controlled “void experiment", wherein time emerges solely from space-energy interactions in the absence of an intrinsic time coordinate. The results extend our understanding of space-time dynamics by incorporating energy-driven effects, offering testable predictions for astrophysical phenomena and high-energy particle experiments. This work aims to reconcile macroscopic and quantum physics under a cohesive explanation of how time arises, paving pathways for deeper experimental and theoretical exploration. Physical sciences/Physics Physical sciences/Physics/Astronomy and astrophysics Physical sciences/Physics/Atomic and molecular physics Physical sciences/Physics/Quantum physics 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. 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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-5796168","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":481887792,"identity":"926d9da1-489b-431f-97ff-5993809913df","order_by":0,"name":"Azadeh Alavi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVRIiWNgGAWjYJACCcYGBgY+IOPABwYGHrAIUVrYgIyDM4BaeEjSwgxSTlALf//hhzc+7mCQZ2M/Y3jYds82GXsG5oO3eRjsEhtw2XDgmLHlzDMMhm08OQaHc57dBjqMLdmahyEZpxaGgw1m0rxtDIxtDGkJh3MOgLTwmEnzMDDj1CJ/mP2b9N82Bvs2/mcJhy3AWvi/AbXU49RicAxoJtCKxDaJ5AOHGSC2sAG1HMapxfAMT7FlL1B9m8TjAwd7QFoOsxlbzjE4boxLi9z54xtv/Gyzse3nT2z+8OPAbXv29uaHN95UVMvi9D4EIEcEM9jB+NWPglEwCkbBKMAPABaDUY3qIOIqAAAAAElFTkSuQmCC","orcid":"","institution":"RMIT University","correspondingAuthor":true,"prefix":"","firstName":"Azadeh","middleName":"","lastName":"Alavi","suffix":""},{"id":481887793,"identity":"d08733e3-d965-4094-b0c0-9328efb5ed15","order_by":1,"name":"Abdolrahman Alavi","email":"","orcid":"","institution":"Pattern Recognition Pty. 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