In Chapter 5 we have seen how hyperbolic trigonometry, introduced in the flat pseudo-Euclidean plane, has allowed us a complete treatment of accelerated motions and a consequent formalization of the twin paradox. In this second chapter concerning physical applications we shall see how the expansion from algebraic properties to the introduction of functions of hyperbolic variable allows an intriguing extension to general relativity of the symmetry of hyperbolic numbers, just introduced through special relativity. © 2008 Birkhäuser Verlag AG.
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)
Catoni, F., Boccaletti, D., Cannata, R., Catoni, V., Nichelatti, E., & Zampetti, P. (2008). Generalization of two-dimensional special relativity (Hyperbolic transformations and the equivalence principle). Frontiers in Mathematics, 2008, 161 - 168. https://doi.org/10.1007/978-3-7643-8614-6_10