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arXiv · 1002.0892

Are conservation laws independent of field equations?

Changli Liu
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Abstract

The charge conservation law ($\partial_α J^α=0$) usually is considered as a corollary of Maxwell's equations and is not independent of Maxwell's field equations. A circular reasoning, however, is found in the derivation. A similar fallacy exists in the matter source's conservation law ($\nabla^μT_{μν}=0$) and Einstein's field equations. Therefore, the source's conservation laws are independent of Einstein's field equations.

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Changli Liu. 2023-05-20. Are conservation laws independent of field equations?. https://arxiv.org/abs/1002.0892

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