时空与庞加莱图解
Space Time on the Poincare Diagrams
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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-v2/c2 和四维间隔t2-x2/c2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.Abstract: Relations between the experience of space technology and theory of space and time arefound in this paper.A nontraditional approach to the concepts of space and time isintroduced.The approach is based upon the the analysis of the detailed mechanism of radarmeasurement and nonlinear Doppler effects as measured by an astronaut.The Lorentz factor √1-v2/c2 and four-dimensional interval t2-x2/c2 may be interpreted fromthe point of view of a space technologist.A "geometrical mean" notion for computing timeinterval is introduced parallelly with the usual arithmetic mean formulas,giving resultscomparable with those of special relativity theory.Space time relationships aredemonstrated on the Poincare diagrams.
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[1] Einstein, A., Zur Elektrodynamik der bewegter Kroper Ann. Phys., 17, (1905), 891. [2] Minkowski, H., Space and Time: The Principle of Relativity,A Collection of Original Memoirs, Dover Publications, Inc. [3] Знштейн А.,Соδранце Научных Трубоб,ТоМ I,Москва(1965), 86, 145-148, 150-152, 176-179, 416-418, 541. [4] Fok,V,Space, Time and Gravitation. [5] Meschkowski, H., Noneuclidean Geometry, Academic Press, New York and London. [6] Geroch, R., General Relativity from A to B. [7] Prokhovnik, S.J., The rogic of Special Relativity, NSWU Press (1978). [8] Fox, J.G., Evidence against emission theories, American Journal of Physics, 33, 1, (1965). -
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