5维如何在空间上为3 + 1维的HUP插入确定性背景,以及它与早期宇宙的相关性

Andrew Walcott Beckwith
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引用次数: 3

摘要

我们首先参考早期宇宙的动量值。这是针对3 + 1维的,这很重要,因为威森有一个关于5维参数的动量积分包括动量在空间上的积分等于L除以小L(长度)所有这些乘以一个常数。L /小L的比值是一种从5维向3 + 1维HUP进行确定性输入的方法。在这样做的过程中,我们提出了一个非常小的径向分量,原因是由于Wesson的一个论点,这是一种确定地固定3 + 1 HUP中的一个变量的方法。这是一个确定的输入到一个推导中,然后首先,我们重申一个高度局域的特殊情况的证明一个度规张量不确定性原理首先由Unruh写出来。Unruh没有使用我们使用的Roberson-Walker几何,碰巧我们将要研究的主要度规张量,是δgtt的变化。度量张量的变化由δgrr给出,δgθθ和δgφφ与δgtt的变化相比可以忽略不计。因此,当我们在如何定义δgtt时考虑到一个极小的空间值时,HUP的表达式及其在早期宇宙中某些情况下的应用将受到严格影响。
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How 5 Dimensions May Fix a Deterministic Background Spatially as to Be Inserted for HUP in 3 + 1 Dimensions, and Its Relevance to the Early Universe
We will first of all reference a value of momentum, in the early universe. This is for 3 + 1 dimensions and is important since Wesson has an integration of this momentum with regards to a 5 dimensional parameter included in an integration of momentum over space which equals a ration of L divided by small l (length) and all these times a constant. The ratio of L over small l is a way of making deterministic inputs from 5 dimensions into the 3 + 1 dimensional HUP. In doing so, we come up with a very small radial component for reasons which due to an argument from Wesson is a way to deterministically fix one of the variables placed into the 3 + 1 HUP. This is a deterministic input into a derivation which is then First of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens that the dominant metric tensor we will be examining, is variation in δgtt. The metric tensor variations are given by δgrr, δgθθ and δgφφ are negligible, as compared to the variation δgtt. From there the expression for the HUP and its applications into certain cases in the early universe are strictly affected after we take into consideration a vanishingly small r spatial value in how we define δgtt.
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