为什么时空变换必须是线性的WHY THE TIME-SPACE TRANSFORMATIONS MUST BE LINEAR
陈奎孚
摘要(Abstract)：
尽管线性时空变换是狭义相对论的出发点,但至少从教学角度,对线性变换合理性的论证依然不清晰。笔者根据时空均匀性、时空各向同性和惯性系的等价性,严格地导出了时空的线性变换,其中关键概念是变换的时间缩放系数和空间缩放系数。沿此思路,进一步约束两个坐标系之间的时空缩放系数相等,并利用光速不变原理,导出了洛伦兹变换。
关键词(KeyWords)： 狭义相对论;洛伦兹变换;光速不变原理;惯性坐标系;惯性定律;匀速直线运动
基金项目(Foundation):
作者(Author): 陈奎孚
参考文献(References)：
- [1]Einstein A.On the electrodynamics of moving bodies[J].Annalen Der Physik.1905,17(10):891-921.
- [2]爱因斯坦.论动体的电动力学//爱因斯坦文集(第二卷)[M].范岱年,赵中立,许良英,编译.北京:商务印书馆,1977:88-115.
- [3]Huang XB.A rigorous minimum-assumption derivation of the Lorentz transformation[J].Physics-Uspekhi,2011,54(5):529-532.
- [4]李淑凤,刘昱,郑殊,等.基于教学的洛伦兹变换推导的探讨[J].物理与工程,2014(S1):51-54.Li Shufeng,Liu Yu,Zheng Shu,et al.Some remarks on the derivations of the Lorentz transforms from a pedagogical view[J].Physics and Engineering,2014(S1):51-54.(in Chinese)
- [5]张元仲.为什么说狭义相对论是近代物理学的一大支柱[J].物理与工程,2017,27(2):3-5.Zhang Yuanzhong.Why we say the special relativity is a big pillar of the modern physics[J].Physics and Engineering,2017,27(2):3-5.(in Chinese)
- [6]Lévy-Leblond J M.One more derivation of the Lorentz transformation[J].American Journal of Physics.1976,44(3):271-277.
- [7]冯胜奇.惯性系之间的时空变换是线性变换的充分与必要条件[J].广西物理,2009,30(3):47-49.Feng Shengqi.The sufficient and necessary conditions for the linear time-space transform between inertial frames.Guangxi Physics,2009,30(3):47-49.(in Chinese)
- [8]郭汉英.华罗庚与爱因斯坦相对论及其扩展---纪念华罗庚诞辰一百周年[J].大学物理,2010,29(8):1-11.Guo Hanying.Hua Luo-geng(Hua,L.K.)and Einsteins special relativity with its extensions-in memory of the100th anniversary of the birth of Hua Luo-geng[J].College Physics,2010,29(8):1-11.(in Chinese)
- [9]王笑君,关洪.关于洛伦兹变换的推导[J].大学物理,1998,17(8):18-20.Wang Xiaojun,Guan Hong.On the derivation of Lorentz transformation[J].College Physics,1998,17(8):18-20.(in Chinese)
- [10]关洪.再谈洛伦兹变换的推导[J].大学物理.2007,26(11):11-12.Guan Hong.Further discussions on the derivation of Lorentz transformation[J].College Physics,2007,26(11):11-12.(in Chinese)
- [11]Stephenson S,Kilmlster CW.狭义相对论[M].沈立铭,译.上海:上海科学技术出版社,1963.
- [12]巨乃岐.科学思维方式的一场革命---爱因斯坦狭义相对论思想解读[J].天中学刊,2013,28(6):60-65.Ju Naiqi.A great revolution of scientific thinking modeanalyzing Einsteins special theory of relativity thought[J].Journal of Tianzhong,2013,28(6):60-65.(in Chinese)