具有色场的循环宇宙
A cyclic universe with colour fields
摘要：
宇宙的拓扑结构是讨论有关的奇点问题。我们探讨的可能性，宇宙的初始状态可能有一个结构与3-克莱因瓶拓扑，这将导致一个模型的非奇异振荡（循环）的宇宙具有明确的边界条件。同样的拓扑结构被认为是物质的假设原始成分（通常称为前子）的本质所固有的，这些成分产生了所观察到的各种基本粒子。这种方法的一些现象学的影响进行了讨论。
英文摘要：
The topology of the universe is discussed in relation to the singularity problem. We explore the possibility that the initial state of the universe might have had a structure with 3-Klein bottle topology, which would lead to a model of a nonsingular oscillating (cyclic) universe with a well-defined boundary condition. The same topology is assumed to be intrinsic to the nature of the hypothetical primitive constituents of matter (usually called preons) giving rise to the observed variety of elementary particles. Some phenomenological implications of this approach are also discussed.
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