论文标题

从自然数中的模式出发的重力

Emergent gravity from patterns in natural numbers

论文作者

Chatterjee, Atreya

论文摘要

另一方面,熵与重力系统存在自然关联,另一方面是自然数的分区。我们表明,鉴于自然数的分区,可以将指标直接关联。重力来自分区中的模式。在此过程中,指标和物质统一为分区的基本概念。更确切地说,一方面,我们发现Schwarzschild指标的共同起源,另一方面是黑洞熵。它立即暗示信息和度量是相同的,并且信息的任何变化都以度量的更改存储。因此,重力辐射具有黑洞熵的信息。有三个新的实验预测。首先,我们可以从合并期间发出的重力辐射中检索信息。其次,如果发送带有正确信息的辐射,黑洞会吸收信息并衰减,而不是增加质量。这是黑洞形成的反向过程。第三,到目前为止,只有已知的观察方式是通过辐射和远离来源测得的田地。如果我们可以一口气捕获源的整个分区,就有一种全新的观察自然的方式。

There is natural association of entropy with gravitational systems on one hand and partition of natural numbers on the other hand. We show that given a partition of natural numbers, it is possible to directly associate a metric with it. Gravity emerges from patterns in partition. In the process, metric and matter is unified into a fundamental notion of partition. More precisely, we find a common origin of Schwarzschild metric on one hand and black-hole entropy on the other hand. It immediately implies that information and metric are one and the same and any change in information is stored as change in metric. Thus gravitational radiation carries black-hole entropy worth of information. There are three novel experimental predictions. First, we can retrieve information from the gravitational radiation emitted during merger. Second, if radiation with right information is sent in, black hole absorbs information and decays instead of increasing in mass. This is reverse process of black hole formation. Third, till now only known way of observing nature is through radiation and fields measured far from the source. There is a completely new way of seeing nature if we can capture the whole partition of the source in one go.

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