有静质量粒子的普朗克定律
The Planck law for particle with rest mass
摘要：
本文导出了静止质量粒子的普朗克定律，在静止质量为零的光子的极限下，导出了已知的黑体辐射的普朗克定律。本文表明，该关系有一个纯量子起源，它来自量子势的流体动力学模型。本文揭示了这些定律是如何由量子势破缺标度不变性而产生的。本文还简要分析了这种对称性破缺对小尺寸黑洞形成的影响。
英文摘要：
In this work the author derives the Plank law for particles with rest mass that in the limit of photons with null rest mass leads to the known Plank law for the black body radiation. The paper shows that the relation has a pure quantum origin deriving it from the quantum potential of the hydrodynamic model. The paper puts under light how these laws originates by the scale invariance breaking due to the quantum potential. The paper also briefly analyzes the consequences of this symmetry breaking on the small-size black holes formation.
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