Abstract Three decades ago an expression for the maximum acceleration of elementary particles was derived using quantum theory. There is no experimental confirmation of this so far. In this paper we study the phenomenon of acceleration of elementary particles by the surface gravity of primordial black holes (PBH) formed in the early universe and the associated Hawking-Unruh effect. From a heuristic theory we find that every elementary particle can be associated with a PBH of unique mass and Hawking temperature. This implies a unique Hawking-Unruh acceleration for each elementary particle. The inferred values of maximum acceleration from our theory range from 6.24 × 1033 m/s2 for top quarks to 1.85 × 1028 m/s2 for electrons. These values can be considered to be the maximum acceleration given by the general expression m c 3 2 h of elementary particles of given rest mass (m) due to the force of gravity. Elementary particles with the maximum Compton wavelength ( 10 − 4 m) and an inferred mass of 0.0185 eV (possibly neutrinos) are found to be associated with a PBH whose Hawking temperature is identical to the cosmic microwave background temperature of the present Universe.

中文翻译：

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与原始黑洞和基本粒子最大加速度相关的霍金-安鲁效应

摘要 三十年来，基本粒子的最大加速度表达式是用量子理论推导出来的。到目前为止，还没有实验证实这一点。在本文中，我们研究了早期宇宙中形成的原始黑洞 (PBH) 的表面引力导致基本粒子加速的现象以及相关的霍金-恩鲁效应。根据启发式理论，我们发现每个基本粒子都可以与具有独特质量和霍金温度的 PBH 相关联。这意味着每个基本粒子都有独特的霍金-安鲁加速度。根据我们的理论推断出的最大加速度值范围从顶夸克的 6.24 × 1033 m/s2 到电子的 1.85 × 1028 m/s2。这些值可以被认为是由给定静止质量 (m) 的基本粒子的一般表达式 mc 3 2 h 给出的最大加速度。发现具有最大康普顿波长 (10 - 4 m) 和推断质量为 0.0185 eV（可能是中微子）的基本粒子与霍金温度与当前宇宙的宇宙微波背景温度相同的 PBH 相关。