标题： 世界是离散的 显示英文标题

标题： The world is discrete

摘要： 我们认为在宇宙微波背景中观察到的无标度谱是早期宇宙相变的结果。 观测到的谱倾斜，已被测量为0.04，被证明等于关联函数的异常标度维数。 相变取代了暴胀，成为产生该谱的机制。 谱的倾斜进一步表明自然界存在一个基本的小长度尺度，我们尚未以其他方式观测到。 显示英文摘要

摘要： We argue that the scale-free spectrum that is observed in the cosmic microwave background is the result of a phase transition in the early universe. The observed tilt of the spectrum, which has been measured to be 0.04, is shown to be equal to the anomalous scaling dimension of the correlation function. The phase transition replaces inflation as the mechanism that produces this spectrum. The tilt further indicates that there is a fundamental small length scale in nature that we have not yet observed in any other way.