论文标题

牛顿近似中新兴时空的宇宙常数

The cosmological constant of emergent spacetime in the Newtonian approximation

论文作者

Castro-Palacio, J. C., de Cordoba, P. Fernandez, Isidro, J. M.

论文摘要

我们提出了牛顿宇宙宇宙常数的简单量子力学估计。我们首先通过固定的(即非动力)欧几里得时段中的宇宙内容物(Baryonic和Dark)中的物质内容来模仿牛顿时空的动力学。然后,我们确定了一个在此问题上扮演的操作员,它类似于宇宙常数发挥的作用。最后,我们证明存在物质字段的量子状态,在该量子字段中,上述操作员的期望值等于给定牛顿宇宙的宇宙常数。

We present a simple quantum-mechanical estimate of the cosmological constant of a Newtonian Universe. We first mimic the dynamics of a Newtonian spacetime by means of a nonrelativistic quantum mechanics for the matter contents of the Universe (baryonic and dark) within a fixed (i.e., nondynamical) Euclidean spacetime. Then we identify an operator that plays, on the matter states, a role analogous to that played by the cosmological constant. Finally we prove that there exists a quantum state for the matter fields, in which the above mentioned operator has an expectation value equal to the cosmological constant of the given Newtonian Universe.

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