The connection between electromagnetic stress tensors and the dielectric constant in a medium
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915726392033280 |
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| author | Dengler, R. |
| author_facet | Dengler, R. |
| contents | We perform explicit calculations for microscopic models to confirm that a single, unique electromagnetic stress tensor exists in a dielectric medium: the microscopic tensor $σ^{#}$. We demonstrate that the conventional macroscopic stress tensor of continuum electrodynamics, which contains the derivative of the dielectric coefficient, is merely a representation of $σ^{#}$'s spatial average. This result establishes that, contrary to claims in the literature, both this averaged electromagnetic stress and the hydrodynamic pressure always possess a unique physical meaning. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The connection between electromagnetic stress tensors and the dielectric constant in a medium Dengler, R. Classical Physics We perform explicit calculations for microscopic models to confirm that a single, unique electromagnetic stress tensor exists in a dielectric medium: the microscopic tensor $σ^{#}$. We demonstrate that the conventional macroscopic stress tensor of continuum electrodynamics, which contains the derivative of the dielectric coefficient, is merely a representation of $σ^{#}$'s spatial average. This result establishes that, contrary to claims in the literature, both this averaged electromagnetic stress and the hydrodynamic pressure always possess a unique physical meaning. |
| title | The connection between electromagnetic stress tensors and the dielectric constant in a medium |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2601.08635 |