抽象性与分形
Dimensionality and Fractals
摘要：
在本文中，我们首先表明，通常的三维空间，这是理所当然的，结果从自旋行为的费米子，这构成了宇宙的物质内容。结果表明，所产生的三维依赖于两个因素，迄今为止一直被忽视，即，一种马赫的或整体的性质和宇宙本身的随机基础。然而，维度是尺度相关的，在这个意义上，在非常大的尺度上，或者在非常小的尺度上，我们遇到了不同的维度，正如观察和实验所证实的那样。例如，宇宙中的大尺度结构一方面是细胞性质的，而我们在非常小的尺度上遇到分数电荷和旋向性。最后，它是如何分形维数可以出现，并作为一个说明性的例子，它是如何解释的磁性物体，如行星一方面和白矮星恒星和脉冲星的其他。
英文摘要：
In this paper we first show that the usual three dimensionality of space, which is taken for granted, results from the spinorial behaviour of Fermions, which constitute the material content of the universe. It is shown that the resulting three dimensionality rests on two factors which have been hitherto ignored, viz., a Machian or holistic property and the stochastic underpinning of the universe itself. However the dimensionality is scale dependent in the sense that at very large scales, or at very small scales, we encounter a different dimensionality, as indeed is borne out by observation and experiment. For example the large scale structures in the universe are cellular in nature on the one hand, and we encounter fractional charges and handedness at very small scales. Finally it is shown how fractal dimensions can emerge and as an illustrative example it is shown how this could explain the magnetism of objects like Planets on the one hand and White Dwarf stars and Pulsars on the other.
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。
