Stress-momentum geometry and the stability of charged particle dynamics

Stress-momentum geometry and the stability of charged particle dynamics | 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 Stress-momentum geometry and the stability of charged particle dynamics Shalender Singh, Vishnu Priya Singh Parmar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8518355/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 The classical dynamics of charged particles remains conceptually incomplete due to long-standing pathologies of radiation reaction, including runaway solutions, pre-acceleration, and ambiguities associated with uniformly accelerated motion. These difficulties arise from enforcing energy-momentum conservation at the level of point trajectories while discarding the near-field stress-energy generated by the charge itself. Here we present a covariant stress-momentum formulation in which a localized charged state is represented by a finite world-tube supporting internal stress-momentum degrees of freedom. Applying exact conservation laws to this region yields a closed dynamical system in which radiation reaction emerges from stress-momentum transport across the tube boundary together with reversible exchange with a near-field momentum reservoir. Retaining the lowest internal moment produces a causal, well-posed evolution free of runaway and pre-accelerated solutions, while reducing to the Landau-Lifshitz equation in the appropriate limit. The framework provides a transparent resolution of uniform (hyperbolic) acceleration, in which radiation occurs without local damping due to near-field energy exchange. By treating localization as an emergent property of stress-momentum geometry rather than a point constraint, the approach resolves classical self-force pathologies and makes testable predictions for high-frequency deviations from the Landau-Lifshitz equation. Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics/Nonlinear phenomena Physical sciences/Physics/Particle physics/Theoretical particle physics stress–energy tensor radiation reaction Lorentz–Abraham–Dirac equation Landau–Lifshitz equation world-tube formalism classical electrodynamics self-force near-field dynamics uniformly accelerated motion Full Text Additional Declarations There is NO Competing Interest. 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. 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