摘要
本文探索空间技术经验与时空理论之间的关系,引入一种时空观念的非传统途径.这个途径基于对雷达测量原理机制和非线性多普勒效应的分析.从空间测量的角度可以对洛伦兹因子((1-U^2)/c^2)^(1/2)和四维间隔t^2-x^2/c^2的物理意义进行解释.引入“几何平均’时间间隔定义,得到与狭义相对论可比较的结果.时空关系表现在庞加莱图上.
Relations between the experience of space technology and theory of space and time are found in this paper. A nontraditional approach to the concepts of space and time is introduced. The approach is based upon the analysis of the detailed mechanism of radar measurement and nonlinear Doppler effects as measured by an astronaut. The Lorentz factory 1-v2/c2^(1/1-v2/c2) and four-dimensional interval t2-x2/c2may be interpreted from the point of view of a space technologist. A'geometrical mean' notion for computing time interval is introduced parallelly with the usual arithmetic mean formulas, giving results comparable with those of special relativity theory. Space time relationships are demonstrated on the Poincare diagrams.
出处
《应用数学和力学》
EI
CSCD
北大核心
1990年第9期785-796,共12页
Applied Mathematics and Mechanics
关键词
空间技术
时空理论
庞加莱图解
space time
Poincare diagrams
relativity theory