标题： 不确定性的量子引力与宇宙学 VI. 时空流形的预动力几何，度规的补充条件以及CPT 显示英文标题

标题： Indeterministic Quantum Gravity and Cosmology VI. Predynamical Geometry of Spacetime Manifold, Supplementary Conditions for Metric, and CPT

摘要： 本文是论文[gr-qc/9409010, gr-qc/9505034, gr-qc/9603022, gr-qc/9609035, gr-qc/9609046]的延续。 先验的引入，即时空流形的先动力学全局几何得到了证实，并且该几何被具体说明。 该流形是五维欧几里得空间中的无限四圆柱，或称为管，圆柱的正交截面是单位三球面。 作为对坐标条件的对立，几何地引入了度规的补充条件，与坐标无关。 宇称和时间反演变换被扩展到所指定的流形。 PT等价于绕垂直于圆柱轴的轴旋转\pi 。 讨论了CPT不变性。 关键词：宇宙时间，宇宙空间，圆柱流形 显示英文摘要

摘要： This paper is a continuation of the papers [gr-qc/9409010, gr-qc/9505034, gr-qc/9603022, gr-qc/9609035, gr-qc/9609046]. The introduction of a prior, i.e., predynamical global geometry of spacetime manifold is substantiated, and the geometry is specified. The manifold is an infinite four-cylinder, or tube in the five-dimensional Euclidean space, the orthogonal section of the cylinder being the unit three-sphere. Supplementary conditions for metric are introduced geometrically, coordinate-independently, as opposed to coordinate conditions. Parity and time-reversal transformations are extended to the manifold specified. PT is equivalent to a rotation through \pi about an axis orthogonal to the cylinder axis. CPT invariance is discussed. Keywords: cosmic time, cosmic space, cylindrical manifold