arXiv 1201.18282012-01physics.gen-ph

狭义相对论的运动学模拟

Simulation of Kinematics of Special Theory of Relativity

V. N. Matveev, O. V. Matvejev

备注：: 21 pages, 1 figure

摘要：

狭义相对论的原理极其简单。掌握毕达哥拉斯定理的知识和进行最简单的代数运算的能力，就足以熟悉狭义相对论的运动学，以及与相对运动有关的运动物体纵向维度的时间膨胀和收缩。然而，相对论基本原理的简单性与基于普通常识的怀疑论者对狭义相对论后果的理解和有时完全不接受的困难形成了令人惊讶的对比。某些关于相对论的畅销书的作者解释这种对比的存在，是通过怀疑论者的常识在“我们日常生活的赤裸裸的概念”上取得了成功。狭义相对论是模拟在这篇文章的基础上，最简单的例子，驳船，航天飞机和船只的运动在水环境中。它被模拟，而不拒绝习惯的普通常识。在这篇文章中，相对论时间和爱因斯坦的狭义相对论的相对论效应-洛伦兹收缩，时间膨胀，相对论多普勒效应，Skobeltsyn-Bell效应，和速度的相对论添加-使用经典物理学的基本方法进行模拟。他们被模拟，但没有拒绝在上个世纪被“疯狂想法”的庆祝所压制的习惯性普通常识。得到了洛伦兹变换。示出了用于模拟四维时空的装置。

英文摘要：

The principles of the special theory of relativity are extremely simple. A knowledge of the Pythagorean theorem and an ability to perform the simplest algebraic operations are sufficient to be conversant with the kinematics of the special theory of relativity, as well as the time dilation and contraction of the longitudinal dimensions of moving bodies that are associated with relative motion. However, the simplicity of the fundamentals of the theory of relativity are in surprising contrast with the difficulty of the perception and at times the total nonacceptance of the consequences of the special theory of relativity by skeptics based on ordinary common sense. The authors of certain popular books on the theory of relativity explain the existence of this contrast by way of the fact that the common sense of skeptics cut its teeth on a "stark notion of our everyday life". The special theory of relativity is simulated in this article based on the simplest examples of the movement of barges, shuttles, and boats in an aquatic environment. It has been simulated without rejecting the customary ordinary common sense. In this article, relativistic time and the relativistic effects of Einstein's special theory of relativity - Lorentz contraction, time dilation, relativistic Doppler effects, the Skobeltsyn-Bell effect, and the relativistic addition of velocities - are simulated using elementary methods of classical physics. They have been simulated without rejecting the customary ordinary common sense that was squashed in the past century by the celebration of "mad ideas". Lorentz transformations are obtained. Means for simulating four-dimensional space-time are shown.

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摘要：

英文摘要：

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