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Singularity dynamics: Action and Reaction

2005/06/29 by Michaël Mazilu, Michael Mazilu, Mazilu, Michael
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Force Microscopy Techniques and Applications #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Quantum chaos and dynamical systems #hep-th #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/0506209

arxiv created 2005/06/29 · openalex publication_date 2005/06/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The interaction between singular and regular fields is considered for Lorentz-invariant scalar and vector wave equations. The singular field is generated by a Dirac source term. Its dynamics are deduced from the total field Lagrangian. At non-relativistic speeds, the resulting equations of motion are those of a mass in a scalar potential. Using this method we deduce the relationship between source amplitude (scalar gravitational mass) and dynamic mass (inertial mass). Generalising this method implies Lorentz forces for charge singularities in the electromagnetic field and describes the dynamics and interaction of hypothetical magnetic monopoles.

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