分形宇宙中主导粒子的质量
The mass of the dominant particle in a fractal universe
摘要：
一个经验验证，唯象模型有关的参数的天体的随机波动，其颗粒成分的分形标度律方面进行了推广。构成一个典型的星系的质量的优势的粒子的质量确定从广义模型作为分形维数的函数。当分形维数在1到3之间时，星系中主要粒子的质量大致在普朗克质量和1eV之间。如果维数接近2，那么分形模型与原始随机模型相同，并且主导粒子的质量必须是核子质量附近的数量级。从基本的量子考虑和从宇宙学常数的存在性出发，得到了宇宙中主导粒子质量的两个附加表达式。因此，分形维数2是有利的，占主导地位的粒子的质量是成正比的宇宙学常数的六次方根和附近的核子质量的顺序。
英文摘要：
An empirically validated, phenomenological model relating the parameters of an astronomical body to the stochastic fluctuations of its granular components is generalized in terms of fractal scaling laws. The mass of the particle constituting the preponderance of the mass of a typical galaxy is determined from the generalized model as a function of the fractal dimension. For a fractal dimension between 1 and 3 the mass of the dominant particle in galaxies is, roughly, between the Planck mass and 1eV. If the dimension is near 2 then the fractal model is identical to the original stochastic model, and the mass of the dominant particle must be of order near the nucleon mass. Two additional expressions for the mass of the dominant particle in the universe are obtained from basic quantum considerations and from the existence of a cosmological constant. It follows that the fractal dimension 2 is favored and that the mass of the dominant particle is proportional to sixth root of the cosmological constant and of order near the nucleon mass.
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