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存在绝对背景的相对论时空

Relativistic Space-time Based on Absolute Background

中文摘要英文摘要

本文以爱因斯坦相对论物理的基本事实为基础,通过在时空的基本概念中进一步区分时空背景和时空标度,引入了一种和标准理解略微有所不同的时空物理图像。在这一图像中,引力几何化度规中的坐标标度被理解为根据观测者自带的时钟和尺子的标度而定义的,因此任何两个事件的坐标时间间隔可以假想为由观测者时钟和尺子在全空间大量复制的数学时钟和数学尺度量。引力几何化度规中的固有时间间隔则由本地时钟度量。原则上,时钟和尺子的读数是根据单位固有事件间隔的次数来计量的,而时空坐标标度的大小则本质上体现为单位固有事件间隔在时空背景中截出来的片段的长短。引力的作用可以使单位固有事件间隔在时空背景上截出来的片段长度发生改变。这一时空物理图像融合了经典时空观的经验直觉和相对论物理的基本事实。以此为基础,我们在经典力学的框架下导出了满足符合实际需求的广义相对性原理的质点动力学方程。而绝对的时空背景暗示质点在空间背景中的位置是客观的,这一点实际上也是狭义相对论逻辑体系中内在包含的演绎基础。因此,接下来本文探讨的是太阳系引力在几何化过程中的物理图像,重新解释了引力红移效应。 最后,我们探讨了宇宙大尺度引力在几何化过程中的度规形式。由于在本时空物理图像下,观测者总是和坐标标度的定义联系在一起,因此实际测量到的宇宙膨胀加速度是坐标加速度,而不是本地时钟度量的固有加速度。

IIncorporating the most solid part of the physics in Einstein's theory of relativity, a nontrivial space-time physical picture, which has a slight different from the standard one, is introduced by means of making a further distinction on the space-time background and space-time scales. In this picture, the coordinate scales in gravity geometrized metric is defined by the clock and ruler equipped by the observer. So the coordinate time interval of any two events is measured by mathematical clocks and mathematical rulers, which are duplicated according to the observer's own clock and ruler. In contrast, the proper time interval in gravity geometrized metric is measured by the local proper clock. In principle, the reading number of clocks and rulers are counted by the undergone times of unit proper event intervals. However, the coordinate space-time scale is essentially described by the length of a line segment which is cut from the background of space by the unit proper space-time event intervals. The function of gravity is that the length of the unit proper event intervals is responsible to be changed according to the intensity of gravity. Such a physical picture combines both the intuitive experience and the most solid part of the physics in Einstein's theory of space-time. On this basis, we reformulate a particle dynamical equation which satisfies a more realistic general principle of relativity under the framework of classical mechanics. After that, we discuss the physical picture of the solar gravity being geometrized, and reinterpret the gravitational redshift effect. Finally, we reexamine the form of cosmological space-time metric on which the gravity at the large scale of the universe is geometrized. Since the observer is always related to the unit scales of the coordinates system in the presented space-time physical picture, the current measured cosmic acceleration is substantially a coordinate acceleration, rather than a proper acceleration which is only regarded to be measured by local clocks.

陈驰一

物理学

时空物理图像绝对背景引力几何化宇宙学度规

Space-time Physical PictureAbsolute BackgroundCosmological Metrics

陈驰一.存在绝对背景的相对论时空[EB/OL].(2014-01-28)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/201401-1215.点此复制

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