宇宙微波背景辐射的测量表明宇宙在几何上是"极度平坦"的，但这一发现并不能直接证明宇宙是无限的1。平坦的几何结构不必然等同于无限延伸，可观测宇宙可能只是某个更大且具有弯曲特性的宇宙的一个微小部分1。
宇宙的真实结构可能远比单纯的平坦或弯曲更加复杂1。即使在几何上保持平坦，宇宙也可能在拓扑学上以奇异的方式自我环绕，例如呈现圆柱体、莫比乌斯带或克莱因瓶的形状1。数学家已经识别出17种不同的拓扑结构能够同时维持几何平坦性1。为了寻找证据，天文学家曾在宇宙微波背景中搜索重复图案，并在对立天空区域寻找重复出现的星系，但迄今尚未发现令人信服的证据来确定宇宙的实际形态1。由于可观测宇宙的边界限制了人类能够获得的信息，科学家可能永远无法确定整个宇宙是否真正无限1。
Measurements of the cosmic microwave background radiation indicate that the universe is geometrically "extremely flat," yet this does not necessarily prove the universe is infinite 1. A flat geometry does not inherently equate to boundlessness—much like Earth's surface, which is curved yet finite 1. The observable universe may represent only a small portion of a much larger structure with different geometric properties 1.
The universe could be geometrically flat while wrapping around itself in topologically complex ways, resembling shapes such as cylinders, Möbius strips, or Klein bottles 1. Mathematicians have identified seventeen distinct topological structures capable of maintaining geometric flatness 1. Astronomers have conducted searches for repeating patterns in the cosmic microwave background and for duplicate galaxies in opposite regions of the sky, but have not yet discovered compelling evidence of such configurations 1.
The boundary of the observable universe fundamentally constrains the information accessible to researchers, and scientists may never be able to definitively determine whether the entire universe is truly infinite 1.
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