论文标题
从颗粒的波浪形成中，有吸引力的反平方定律的可能出现
The Possible Emergence of an Attractive Inverse-Square Law from the Wave-Nature of Particles
论文作者
论文摘要
开发了有限空间中粒子的模型，并研究了粒子在该模型下可能具有的特性。讨论了粒子由于自己的波性质而彼此吸引的可能性。使用介质中颗粒是空间限制振荡（SCO）的假设。得出了理想化宇宙中介质的SCO和折射率之间的关系。由于SCO的平面波成分，具有非零梯度的折射率场的存在导致SCO加速。 SCO在局部更改了折射率，以使另一个SCO加速向其加速，反之亦然。结论是，由于粒子的波质性质，粒子可以互相吸引，并且会出现反方型加速度。反方型加速度中的常数参数用于与重力常数$ g_n $进行比较，并且初步讨论了非反方型行为的可能性。
A model of a particle in finite space is developed and the properties that the particle may possess under this model are studied. The possibility that particles attract each other due to their own wave nature is discussed. The assumption that the particles are spatially confined oscillations (SCO) in the medium is used. The relation between the SCO and the refractive index of the medium in the idealized universe is derived. Due to the plane wave constituents of SCOs, the presence of a refractive index field with a nonzero gradient causes the SCO to accelerate. The SCO locally changes the refractive index such that another SCO is accelerated towards it, and vice versa. It is concluded that the particles can attract each other due to their wave nature and an inverse-square-type acceleration emerges. The constant parameter in the inverse-square-type acceleration is used to compare with the gravitational constant $G_N$, and the possibility of non inverse-square-type behavior is preliminary discussed.
