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arXiv 0708.3288gr-qc
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圈量子宇宙学中的暴胀几率

The probability of inflation in Loop Quantum Cosmology

William Nelson

摘要:

在经典广义相对论的背景下,最近已经证明存在足够的暴胀来解决与视界和平坦性问题相关的微调的概率是指数级的小。在这里,这一结果是通过考虑环路量子引力效应,这是显着的小尺度。除了占高能量偏离经典,它表明,在相反的经典情况下,圈量子宇宙学概率测度是自然有限的,至少在一些定义明确的区域。它还表明,这些圈量子引力校正可以克服经典的抑制的概率只有非常不自然的选择的模糊参数,这意味着单场,慢卷膨胀是指数不可能的。

英文摘要:

The probability of there being sufficient inflation to solve the fine-tuning associated with the horizon and flatness problems has recently been shown to be exponentially small, within the context of classical general relativity. Here this result is extended by considering loop quantum gravity effects, that are significant at small scales. In addition to accounting for high-energy departures from classicality, it is shown that, in contrast to the classical case, the loop quantum cosmological probability measure is naturally finite, at least in some well defined region. It is also shown that these loop quantum gravity corrections can overcome the classical suppression of the probability only for extremely unnatural choices of ambiguity parameters, implying that single field, slow-roll inflation is exponentially unlikely.

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