Year: 2009
Type: preprint
Abstract: Here is presented a concept of centrogeometry which can be seen as a combination of the concept of point-like observer with an idea of Poincaré's that different geometries are principally equivalent. As it is to be shown later, all centrogeometries are obtained from each other by general deformation (i.e. active coordinate transformations). Isometries of centrogeometries are equivalent to those of the Euclidean centrogeometry as described by common diffeomorphisms of the Euclidean spheres. There are discussed physical aspects of centrogeometry in the context of chronogeometry, mechanics and cosmology.
Source: arXiv (Cornell University)
Author: Kokarev, Sergey S.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1845007128