Abstract
Galilean space-time plays the same role in nonrelativistic physics that Minkowski space-time does in relativistic physics. In this paper, the fundamental concepts (velocity, momentum, kinetic energy, etc.) and principles (laws of motion and conservation laws) of classical physics are formulated in the language of Galilean space-time. Much of the development closely parallels the development of similar concepts and principles in the theory of special relativity.
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Artz, R.E. Classical mechanics in Galilean space-time. Found Phys 11, 679–697 (1981). https://doi.org/10.1007/BF00726944
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DOI: https://doi.org/10.1007/BF00726944