关于时间本质的假设
Hypothesis on the Nature of Time
摘要：
我们提出的数值证据表明，在因果动力学三角法（CDT）的量子引力的方法，虚构的扩散粒子在小距离尺度上超过光速。我们认为，这种超光速行为是负责的外观在光谱维度的降维。通过公理化地强制实施一个尺度不变的光速，我们表明，时间必须作为相对尺度的函数膨胀，就像它作为相对速度的函数一样。通过计算CDT扩散路径的Hausdorff维数，我们提出了一个看似等价的对偶描述尺度相关的威克旋转的度量。这种对时间性质的修正也可能与其他研究量子引力的方法有关。
英文摘要：
We present numerical evidence that fictitious diffusing particles in the causal dynamical triangulation (CDT) approach to quantum gravity exceed the speed of light on small distance scales. We argue this superluminal behaviour is responsible for the appearance of dimensional reduction in the spectral dimension. By axiomatically enforcing a scale invariant speed of light we show that time must dilate as a function of relative scale, just as it does as a function of relative velocity. By calculating the Hausdorff dimension of CDT diffusion paths we present a seemingly equivalent dual description in terms of a scale dependent Wick rotation of the metric. Such a modification to the nature of time may also have relevance for other approaches to quantum gravity.
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