Special Relativity

James Hill
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James Hill: University of South Australia

Chapter Chapter 2 in Mathematics of Particle-Wave Mechanical Systems, 2022, pp 15-54 from Springer

Abstract: Abstract In this chapter we summarise some of the standard results of conventional special relativity theory that are needed to formulate the proposed extension of Newton’s second law. The word special alludes to invariance under transformations relating constant relative velocity frames of reference, which is in contrast to general relativity which relates to invariance under arbitrary space-time coordinate transformations. The first section deals with the fundamental notion of Lorentz transformations and the importance of invariance with respect to frames that are moving with constant relative velocity. The following section highlights the Einstein addition of velocities law which is an immediate consequence of the notion of invariance under Lorentz transformations.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19793-2_2

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DOI: 10.1007/978-3-031-19793-2_2

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