宇宙从无到有：空集合的数学格
The Universe from Nothing: A Mathematical Lattice of Empty Sets
摘要：
在这项工作中，主要原则的数学构成的空间和原则的建设的物理空间。提出了距离和维数估计的广义概念，并给出了它们在拓扑空间中的有效性条件和应用范围。证明了一个具有分形性质的布尔格的存在性，这种分形性质源于空集的非良基性质。时空是由一个拓扑4-时空的封闭的3-D庞加莱截面的有序映射序列出现的，这个拓扑4-时空由一个基本的空胞格提供。分形核代表一个粒子，其体积的减少由有限数量的周围细胞的形态变化来补偿。量子的距离和量子的分形证明。它表明，家庭的分形变形引起家庭的颗粒状结构。与质量相关的变形属性决定了惰性质量和引力效应，如前所述，但细胞的分形变形负责其他基本特征，即：自旋，电荷，以及电和磁特性。
英文摘要：
In this work, major principles of the mathematical constitution of space and the principles of construction of the physical space are presented. Generalized conceptions of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from non-well-founded properties of the empty set is demonstrated. Space-time emerges as an ordered sequence of mappings of closed 3-D Poincare sections of a topological 4-space-time provided by the lattice of primary empty cells. The fractal kernel stands for a particle and the reduction of its volume is compensated by morphic changes of a finite number of surrounding cells. Quanta of distances and quanta of fractality are demonstrated. It is shown that the families of fractal deformations give rise to families of particle-like structures. Deformation attributes associated to mass determine the inert mass and the gravitational effects, as has previously been shown, but fractal deformations of cells are responsible for the other fundamental characteristics, namely: spin, charges, and electric and magnetic properties.
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。
