Statistical Approach to Problems of Cosmology

Statistical Approach to Problems of Cosmology
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DOI:
10.1111/j.2517-6161.1958.tb00272.x
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发表时间:
1958
影响因子:
--
通讯作者:
J. Neyman;E. Scott
J. Neyman;E. Scott
中科院分区:
--
文献类型:
--
作者:
J. Neyman;E. Scott

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当前确定性宇宙学的基本假设,即所谓的宇宙学原理,只能用概率概念来精确地表述。因此,如果决定论被抛弃,而代之以坦率的概率宇宙论,那么可以预期会有相当大的进步和美学收获。这就需要采纳这样的观点,即宇宙是一个随机过程的实现,它在三个(空间)坐标上是静止的(宇宙学原理),也可能在第四个(时间)坐标上是静止的(“完美”宇宙学原理)。给出了两个例子,确定性的宇宙学理论,逃避确定性的治疗有关的问题,但借给自己一个不确定性的统计研究。
Thebasic hypothesis underlying current deterministic cosmologies, namely the so-called cosmological principle, can be stated precisely only in terms of probabilistic concepts. Consequently, considerable progress and aesthetic gain may be expected if determinism is abandoned and replaced by a frank probabilistic treatment of cosmology. This requires the adoption of the view that the Universe is a realization of a stochastic process which is stationary in the three (spatial) co-ordinates (cosmological principle) and possibly also stationary in the fourth (time) co-ordinate (“perfect” cosmological principle). Two examples are given of problems relevant to deterministic cosmological theories that elude deterministic treatment, but lend themselves to an indeterministic statistical study.