论文标题
永恒宇宙中的出生规则
The Born rule in a timeless universe
论文作者
论文摘要
在重力的规范量化中，宇宙的波函数是CPT不变的。因此，如果宇宙的量子状态包含特定的历史，那么它也必须包含相同的概率，即那个历史的时期图像。在这项工作中，我们在页面和Wootters的条件概率解释的背景下研究了该语句的含义。因此，我们表明，宇宙的时期历史与页面和摇摆器机制是一致的，并且我们得出了一个时间转移的schrodinger方程，以实现宇宙其余部分的演变。由于在个人历史记录中既有时间，又在其时间扭转的图像历史记录中获得相同的特定量子状态，因此我们证明，在时钟手的手上调节宇宙状态，显示特定的时间会导致在特定状态中找到宇宙其余部分的可能性。在这种情况下，我们猜想概率解释是量子世界的新兴特性。
In canonical quantization of gravity the wave function of the universe is CPT invariant. Thus, if the quantum state of the universe contains a particular history, than it must contain, with the same probability, the time-reversed image of that history as well. In this work, we investigate the meaning of this statement in the context of the conditional probability interpretation of Page and Wootters. Accordingly, we show that a time-reversed history of the universe is consistent with the Page and Wootters mechanism and we derive a time-reversed Schrodinger equation for the evolution of the rest of the universe. Since the same particular quantum state is acquired both in an individual history with time running forward and in its time-reversed image history, we demonstrate that conditioning the state of the universe on the hands of the clock showing a specific time results in the probability of finding the rest of the universe system in a particular state. In this scenario, we conjecture that probability interpretation is an emergent property of the quantum world.
