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arXiv 1105.1282gr-qcmath-phmath.MPquant-ph
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在玩具模型中没有微调的量子大爆炸

Quantum Big Bang without fine-tuning in a toy-model

Miloslav Znojil

摘要:

大爆炸之前(或大坍缩之后)可能的物理问题是通过一个示意性的非协变模拟宇宙的可观测性的损失来解决的。我们的模型是大大简化其自由度的减少到仅仅是有限的数量。在临界时刻$t=t_c$,允许状态的希尔伯特空间依赖于时间且奇异。这种选择以可解决的例子说明的方式规避了几个传统的理论困难。特别是,我们的玩具模型量子宇宙的幺正演化在其爆炸或坍缩$t= t_c$的瞬间是可中断的,没有任何微调。

英文摘要:

The question of possible physics before Big Bang (or after Big Crunch) is addressed via a schematic non-covariant simulation of the loss of observability of the Universe. Our model is drastically simplified by the reduction of its degrees of freedom to the mere finite number. The Hilbert space of states is then allowed time-dependent and singular at the critical time $t=t_c$. This option circumvents several traditional theoretical difficulties in a way illustrated via solvable examples. In particular, the unitary evolution of our toy-model quantum Universe is shown interruptible, without any fine-tuning, at the instant of its bang or collapse $t= t_c$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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