Classical mechanics in Galilean space-time

Foundations of Physics 11 (9-10):679-697 (1981)
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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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Affine Geometry and Relativity.Božidar Jovanović - 2023 - Foundations of Physics 53 (3):1-29.
Quantum mechanics in Galilean space-time.Ray E. Artz - 1981 - Foundations of Physics 11 (11-12):839-862.

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