Switch to: References

Citations of:

Relativistic point dynamics

Henri Arzeliès

New York,: Pergamon Press (1971)

Add citations

You must login to add citations.

(1 other version)Derivation of Classical Mechanics in an Energetic Framework via Conservation and Relativity.Philip Goyal - 2020 - Foundations of Physics 50 (11):1426-1479.details The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...) Download Export citation Bookmark 2 citations
Extension of trigonometric and hyperbolic functions to vectorial arguments and its application to the representation of rotations and Lorentz transformations.H. Yamasaki - 1983 - Foundations of Physics 13 (11):1139-1154.details The use of the axial vector representing a three-dimensional rotation makes the rotation representation much more compact by extending the trigonometric functions to vectorial arguments. Similarly, the pure Lorentz transformations are compactly treated by generalizing a scalar rapidity to a vector quantity in spatial three-dimensional cases and extending hyperbolic functions to vectorial arguments. A calculation of the Wigner rotation simplified by using the extended functions illustrates the fact that the rapidity vector space obeys hyperbolic geometry. New representations bring a Lorentz-invariant (...) Download Export citation Bookmark 1 citation

1