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arXiv 1902.09300physics.gen-ph
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Lorentz不变二阶张量与不可约矩阵集

Lorentz-invariant second-order tensors and an irreducible set of matrices

Mayeul Arminjon

摘要:

我们证明,乘标量,闵可夫斯基度量张量是唯一的二阶张量是洛伦兹不变的。为了证明这一点,我们表明,一组特定的三个$4\times 4$矩阵,由两个旋转矩阵加上洛伦兹助推,是不可约的。

英文摘要:

We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three $4\times 4$ matrices, made of two rotation matrices plus a Lorentz boost, is irreducible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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