A thermal interpretation of the stochastic formalism of a slow-rolling scalar field in de Sitter (dS) is given. We construct a correspondence between Hubble patches of dS and particles living in another space called an abstract space. By assuming a dual description of scalar fields and classical mechanics in the abstract space, we show that the stochastic evolution of the infrared part of the field is equivalent to the Brownian motion in the abstract space filled with a heat bath of massless particles. The 1st slow-roll condition and the Hubble expansion are also reinterpreted in the abstract space as the speed of light and a transfer of conserved energy, respectively. Inspired by this, we sketch quantum emergent particles, which may realize the Hubble expansion by an exponential particle production. This gives another meaning of dS entropy as entropy per Hubble volume.

中文翻译：

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德西特的涌现粒子：随机形式主义及其他形式的热解释


给出了德西特 (dS) 中慢速滚动标量场的随机形式的热解释。我们构建了 dS 的哈勃斑块与生活在另一个称为抽象空间的空间中的粒子之间的对应关系。通过假设抽象空间中标量场和经典力学的双重描述，我们表明场的红外部分的随机演化相当于充满无质量粒子热浴的抽象空间中的布朗运动。第一慢滚条件和哈勃展开式在抽象空间中也分别被重新解释为光速和守恒能量的传递。受此启发，我们描绘了量子涌现粒子，它可能通过指数粒子产生来实现哈勃膨胀。这给出了 dS 熵的另一种含义，即每哈勃体积的熵。