海菲尔和基廷在一个虚构的引力场中

Q4 Social Sciences

Revista Mexicana De Fisica E Pub Date : 2022-06-24 DOI:10.31349/revmexfise.19.020208

E. Benedetto, G. Iovane

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引用次数: 0

摘要

每一本狭义相对论教科书都描述了所谓的孪晶悖论。显然，精确的计算需要应用广义相对论（GR），但由于一些关于加速和减速阶段的简化假设，即使在SR中，也有可能找到正确的解决方案，即“进行太空旅行的双胞胎是返回地球后找到老兄弟的双胞胎。”相反，在弯曲的时空中，我们有运动学和引力效应之间的代数和。例如，Hafele和Keating的实验很好地描述了在引力场存在的情况下发生的事情，在这种情况下，旅行的兄弟可能会在休息时比他的兄弟更老。延续这一教学传统，我们认为Hafele and Keating实验是在一个旋转框架的虚构引力场中进行的。在我们看来，真实引力场的弯曲时空和虚构引力场的平坦时空之间的结果相等，即使在今天也很有意思地强调爱因斯坦的伟大天才，那就是“惯性就是伪装的引力”。

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Hafele and Keating in a fictious gravitational field

The so called twin paradox is described in every special relativity (SR) textbook. Obviously, an exact calculation requires the application of the general theory of relativity (GR) but, thanks to some simplifying hypotheses concerning the acceleration and deceleration phases, even in SR it is possible to find the correct solution and that is "the twin who goes on space travel is the one who, returning to Earth, finds the aged brother." In a curved spacetime, instead, we have the algebraic sum between a kinematic and a gravitational effect. What happens in the presence of a gravitational field is, for example, well described by Hafele and Keating's experiment and, in this case, it may happen that the traveling brother can grow older than his brother at rest. Continuing in this pedagogical tradition, we consider the Hafele and Keating experiment in a fictious gravitational field of a rotating frame. The equality of the results between curved spacetime of a real gravitational field and flat spacetime of a fictitious one, in our opinion, is interesting to emphasize even today the great genius of Einstein and that is "inertia is gravity in disguise".

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来源期刊

Revista Mexicana De Fisica E 社会科学-科学史与科学哲学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Revista Mexicana de Física (Rev. Mex. Fis.) publishes original papers of interest to our readers from the physical science com unity. Language may be English or Spanish, however, given the nature of our readers, English is recommended. Articles are classified as follows: Research. Articles reporting original results in physical science. Instrumentation. Articles reporting original contributions on design and construction of scientific instruments. They should present new instruments and techniques oriented to physical science problems solutions. They must also report measurements performed with the described instrument. Reviews. Critical surveys of specific physical science topics in which recent published information is analyzed and discussed. They should be accessible to physics graduate students and non specialists, and provide valuable bibliography to the specialist. Comments. Short papers (four pages maximum) that assess critically papers by others authors previously published in the Revista Mexicana de Física. A comment should state clearly to which paper it refers.