Physical Constants as Result of the Many Hypercubic Lattices of a Multidirectional Discrete Space  

作　　者：Christiaan T. de Groot 

机构地区：[1]Retired, University of Applied Sciences Utrecht, Netherlands

出　　处：《Journal of Modern Physics》2020年第3期432-447,共16页现代物理（英文）

摘　　要：A multidirectional discrete space consists of numerous hypercubic lattices each of which contains one of the spatial directions. In such a space, several groups of lattices can be distinguished with a certain property. Each group is determined by the number of lattices it comprises, forming the characterizing numbers of the space. Using the specific properties of a multidirectional discrete space, it is shown that some of the characterizing numbers can be associated with a physical constant. The fine structure constant appears to be equal to the ratio of two of these numbers, which offers the possibility of calculating the series of smallest numerical values of these numbers. With these values, a reasoned estimate can be made of the upper limit of the smallest distance of the discrete space of approximately the Planck length.A multidirectional discrete space consists of numerous hypercubic lattices each of which contains one of the spatial directions. In such a space, several groups of lattices can be distinguished with a certain property. Each group is determined by the number of lattices it comprises, forming the characterizing numbers of the space. Using the specific properties of a multidirectional discrete space, it is shown that some of the characterizing numbers can be associated with a physical constant. The fine structure constant appears to be equal to the ratio of two of these numbers, which offers the possibility of calculating the series of smallest numerical values of these numbers. With these values, a reasoned estimate can be made of the upper limit of the smallest distance of the discrete space of approximately the Planck length.

关 键 词：Hypercubic Lattice Multidirectional DISCRETE SPACE Characterizing NUMBERS Fine Structure Constant Physical CONSTANTS PLANCK Length 

分 类 号：O17[理学—数学]