Variational Resolution of the Abraham-Lorentz-Dirac Equation Pathologies
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912368492019712 |
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| author | Bonacci, Duje |
| author_facet | Bonacci, Duje |
| contents | We propose a structural variational resolution of the Abraham-Lorentz-Dirac (ALD) pathologies. By deriving the Variational Kinematic Constraint (VKC) and the Variational Dynamics Constraint (VDC) from the particle's proper-time perspective, we show that self-induced variations are forbidden and dynamics arise solely from first-order proper-time variations of external fields. Consequently, self-force terms are excluded at the variational level, eliminating runaway solutions and non-causal behavior without regularization. Our framework further provides a first-principles derivation of minimal coupling and reveals gauge invariance as a necessary consequence of proper-time-based variational structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02870 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational Resolution of the Abraham-Lorentz-Dirac Equation Pathologies Bonacci, Duje Classical Physics Physics and Society We propose a structural variational resolution of the Abraham-Lorentz-Dirac (ALD) pathologies. By deriving the Variational Kinematic Constraint (VKC) and the Variational Dynamics Constraint (VDC) from the particle's proper-time perspective, we show that self-induced variations are forbidden and dynamics arise solely from first-order proper-time variations of external fields. Consequently, self-force terms are excluded at the variational level, eliminating runaway solutions and non-causal behavior without regularization. Our framework further provides a first-principles derivation of minimal coupling and reveals gauge invariance as a necessary consequence of proper-time-based variational structure. |
| title | Variational Resolution of the Abraham-Lorentz-Dirac Equation Pathologies |
| topic | Classical Physics Physics and Society |
| url | https://arxiv.org/abs/2505.02870 |