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Quantum Cosmology in the Light of Quantum Mechanics

机译:量子力学视角下的量子宇宙学

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摘要

There is a formal analogy between the evolution of the universe, when it is seen as a trajectory in the minisuperspace, and the worldline followed by a test particle in a curved spacetime. The analogy can be extended to the quantum realm, where the trajectories are transformed into wave packets that give us the probability of finding the universe or the particle in a given point of their respective spaces: the spacetime in the case of the particle and the minisuperspace in the case of the universe. The wave function of the spacetime and the matter fields, all together, can then be seen as a super-field that propagates in the minisuperspace and the so-called third quantisation procedure can be applied in a parallel way as the second quantisation procedure is performed with a matter field that propagates in the spacetime. The super-field can thus be interpreted as made up of universes propagating, i.e., evolving, in the minisuperspace. The analogy can also be used in the opposite direction. The way in which the semiclassical state of the universe is obtained in quantum cosmology allows us to obtain, from the quantum state of a field that propagates in the spacetime, the geodesics of the underlying spacetime as well as their quantum uncertainties or dispersions. This might settle a new starting point for a different quantisation of the spacetime.
机译:在宇宙的演化(被视为超超空间中的轨迹)与世界线以及弯曲时空中的测试粒子之间存在形式上的类比。可以将类推扩展到量子领域,在该领域中,轨迹被转换为波包,这使我们有可能在各自的空间的给定点上找到宇宙或粒子:粒子和超超空间的时空就宇宙而言。时空和物质场的波动函数一起可以看作是一个在超超空间中传播的超场,在执行第二个量化过程时可以并行应用所谓的第三个量化过程与在时空中传播的物质场有关。因此,可以将超场解释为由在微型超空间中传播(即演化)的宇宙组成。该类比也可以反方向使用。在量子宇宙学中获得宇宙的半经典状态的方式使我们能够从在时空中传播的场的量子状态中获得基本时空的测地线及其量子不确定性或色散。这可能为时空的不同量化奠定了新的起点。

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